J.-m. Ginoux | Université de Toulon (original) (raw)
Papers by J.-m. Ginoux
arXiv (Cornell University), Jan 14, 2015
, http://ginoux.univ-tln.fr 51A51A Résumé. Le concept de ≪ cycle limite ≫ fut introduit par Henri... more , http://ginoux.univ-tln.fr 51A51A Résumé. Le concept de ≪ cycle limite ≫ fut introduit par Henri Poincaré dans son second mémoire ≪ Sur les courbes définies par uneéquation différentielle ≫ en 1882. Du point de vue de la Physique, un cycle limite stable (ou attractif) correspondà la représentation de la solution périodique d'un système (mécanique ouélectrique) dissipatif dont les oscillations sont entretenues par le système lui-même. Inversement, l'existence d'un cycle limite stable garantit l'entretien des oscillations. Jusqu'à présent, l'historiographie considérait que le mathématicien russe Aleksandr' Andronov avaitété le tout premieràétablir une telle correspondance entre la solution périodique d'un système auto-oscillant et le concept de cycle limite de Poincaré. La découverte récente d'une série de conférences réalisées par Henri Poincaré en 1908à l'Ecole Supérieure des Postes et Télégraphes (aujourd'hui Telecom Paris Tech) démontre qu'il avait déjà mis en application son concept de cycle limite pourétablir l'existence d'un régime stable d'ondes entretenues dans un dispositif de la T.S.F. 1 Cet article a donc pour objet d'une part de retracer l'émergence de ce concept depuis sa création par Poincaré et, d'autre part de mettre enévidence l'importance de son rôle dans l'histoire des oscillations non linéaires.
HAL (Le Centre pour la Communication Scientifique Directe), 2016
International audienc
In this work a new approach to stability analysis is applied to nonlinear oscillators. Based on t... more In this work a new approach to stability analysis is applied to nonlinear oscillators. Based on the use of local metrics properties of curvature and torsion resulting from Differential Geometry and while considering trajectory curves as plane or space curves, these properties directly provide their slow manifold analytical equation and its stable and unstable parts. Van der Pol and Colpitts models emphasize the application of this method to electronic systems.
IEEE Transactions on Circuits and Systems II: Express Briefs, 2019
We propose an electronic implementation to record Poincaré sections of dynamical systems exhibiti... more We propose an electronic implementation to record Poincaré sections of dynamical systems exhibiting chaos. Poincaré sections are obtained by sampling and holding the maxima of a sequence of pulses of a chaotic relaxation oscillator versus the same temporal sequence shifted by one unit. By using these sections we are able to detail the transition to chaos via torus breakdown.
Science & Sports, 2019
Titre court : sélection d'un programme de musculation pour des joueurs de squash
Biomedical Signal Processing and Control, 2016
Polysomnography (PSG) is the recording during sleep of multiple physiological parameters enabling... more Polysomnography (PSG) is the recording during sleep of multiple physiological parameters enabling to diagnose sleep disorders and to characterize sleep fragmentation. From PSG several sleep characteristics such as the micro arousal rate (MAR), the number of sleep stages shifts (SSS) and the rate of intra sleep awakenings (ISA) can be deduced each having its own fragmentation threshold value and each being more or less important (weight) in the clinician's diagnosis according to his specialization (pulmonologist, neurophysiologist and technical expert). In this work we propose a mathematical model of sleep fragmentation diagnosis based on these three main sleep characteristics (MAR, SSS, ISA) each having its own threshold and weight values for each clinician. Then, a database of 111 PSG consisting of 55 healthy adults and 56 adult patients with a suspicion of obstructive sleep apnoea syndrome (OSAS), has been diagnosed by nine clinicians divided into three groups (three pulmonologists, three neurophysiologists and three technical experts) representing a panel of polysomnography experts usually working in a hospital. This has enabled to determine statistically the thresholds and weights values which characterize each clinician's diagnosis. Thus, we show that the agreement between each clinician's diagnosis and each corresponding mathematical model goes from substantial (61% ) to almost perfect (81% ), according to their specialization and so, that the mean value of the agreements of each group is also substantial (73% ) despite the existing variability between clinicians. It follows from this result that our mathematical model of sleep fragmentation diagnosis is a posteriori validated for each clinician.
In 1908 Henri Poincar�e gave a series of `forgotten lectures' on wireless telegraphy in which... more In 1908 Henri Poincar�e gave a series of `forgotten lectures' on wireless telegraphy in which he demonstrated the existence of a stable limit cycle in the phase plane. In 1929 Aleksandr Andronov published a short note in the Comptes Rendus in which he stated that there is a correspondence between the periodic solution of self-oscillating systems and the concept of stable limit cycles introduced by Poincar�e. In this article the author describes these two major contributions to the development of nonlinear oscillation theory and their reception in France.
Springer Proceedings in Physics, 2006
This paper aims to analyze trajectories behavior and attractor structure of chaotic dynamical sys... more This paper aims to analyze trajectories behavior and attractor structure of chaotic dynamical systems with the Differential Geometry and Mechanics formalism. Applied to slow-fast autonomous dynamical systems (S-FADS), this approach provides: on the one hand a kinematics interpretation of the trajectories motion, and on the other hand, a direct determination of the slow manifold equation. The attractivity of this manifold established with a new criterion makes it possible to ensure attractors stability. Then, a qualitative description of the geometrical structure of the attractor is presented. It consists in considering it as the deployment in the space phase of a special submanifold that is called singular manifold. The attractor can be obtained by integration of initial conditions taken on this singular manifold. Applications of this method are made for the following models: cubic-Chua, and Volterra-Gause.
Understanding Complex Systems
Comparing neuronal bursting models (NBM) with slow-fast autonomous dynamical systems (S-FADS), it... more Comparing neuronal bursting models (NBM) with slow-fast autonomous dynamical systems (S-FADS), it appears that the specific features of a (NBM) do not allow a determination of the analytical slow manifold equation with the singular approximation method. So, a new approach based on Differential Geometry, generally used for (S-FADS), is proposed. Adapted to (NBM), this new method provides three equivalent manners of determination of the analytical slow manifold equation. Application is made for the three-variables model of neuronal bursting elaborated by Hindmarsh and Rose which is one of the most used mathematical representation of the widespread phenomenon of oscillatory burst discharges that occur in real neuronal cells.
A Festschrift for Leon ChuaWith DVD-ROM, composed by Eleonora Bilotta, 2013
On April 30 th 2008, the journal Nature announced that the missing circuit element, postulated th... more On April 30 th 2008, the journal Nature announced that the missing circuit element, postulated thirty-seven years before by Professor Leon O. Chua has been found. Thus, after the capacitor, the resistor and the inductor, the existence of a fourth fundamental element of electronic circuits called "memristor" was established. In order to point out the importance of such a discovery, the aim of this article is first to propose an overview of the manner with which the three others have been invented during the past centuries. Then, a comparison between the main properties of the singing arc, i.e. a forerunner device of the triode used in Wireless Telegraphy, and that of the memristor will enable to state that the singing arc could be considered as the oldest memristor.
Sensors (Basel, Switzerland), Jan 20, 2014
The monitoring of human breathing activity during a long period has multiple fundamental applicat... more The monitoring of human breathing activity during a long period has multiple fundamental applications in medicine. In breathing sleep disorders such as apnea, the diagnosis is based on events during which the person stops breathing for several periods during sleep. In polysomnography, the standard for sleep disordered breathing analysis, chest movement and airflow are used to monitor the respiratory activity. However, this method has serious drawbacks. Indeed, as the subject should sleep overnight in a laboratory and because of sensors being in direct contact with him, artifacts modifying sleep quality are often observed. This work investigates an analysis of the viability of an ultrasonic device to quantify the breathing activity, without contact and without any perception by the subject. Based on a low power ultrasonic active source and transducer, the device measures the frequency shift produced by the velocity difference between the exhaled air flow and the ambient environment, ...
In the ‘centennial year’ 2012 there will appear three books on life and work of Henri Poincare. E... more In the ‘centennial year’ 2012 there will appear three books on life and work of Henri Poincare. Each of the respective authors Jean-Marc Ginoux, Ferdinand Verhulst and Jeremy Gray gives a short description of his own book.
A new approach called Flow Curvature Method has been recently developed in a book entitled Differ... more A new approach called Flow Curvature Method has been recently developed in a book entitled Differential Geometry Applied to Dynamical Systems. It consists in considering the trajectory curve, integral of any n-dimensional dynamical system as a curve in Euclidean n-space that enables to analytically compute the curvature of the trajectory-or the flow. Hence, it has been stated on the one hand that the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold and on the other hand that such a manifold associated with any n-dimensional dynamical system directly provides its slow manifold analytical equation the invariance of which has been proved according to Darboux theory. The Flow Curvature Method has been already applied to many types of autonomous dynamical systems either singularly perturbed such as Van der Pol Model, FitzHugh-Nagumo Model, Chua's Model, ...) or non-singularly perturbed such as Pikovskii-Rabinovich-Trakhtengerts Model, Rikitake Model, Lorenz Model,... Moreover, it has been also applied to non-autonomous dynamical systems such as the Forced Van der Pol Model. In this article it will be used for the first time to analytically compute the slow invariant manifold analytical equation of the four-dimensional Unforced and Forced Heartbeat Model. Its slow invariant manifold equation which can be considered as a "state equation" linking all variables could then be used in heart prediction and control according to the strong correspondence between the model and the physiological cardiovascular system behavior.
Understanding Complex Systems
The aim of this work is to establish the existence of invariant manifolds in complex systems. Con... more The aim of this work is to establish the existence of invariant manifolds in complex systems. Considering trajectory curves integral of multiple time scales dynamical systems of dimension two and three (predator-prey models, neuronal bursting models) it is shown that there exists in the phase space a curve (resp. a surface) which is invariant with respect to the flow of such systems. These invariant manifolds are playing a very important role in the stability of complex systems in the sense that they are "restoring" the determinism of trajectory curves.
Journal of Physics A: Mathematical and Theoretical, 2011
The aim of this work is to establish that the bifurcation parameter value leading to a canard exp... more The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curvature Method. This result will be then exemplified with the classical Van der Pol oscillator.
Journal of Physics A: Mathematical and Theoretical, 2009
Poincaré recognized that phase portraits are mainly structured around fixed points. Nevertheless,... more Poincaré recognized that phase portraits are mainly structured around fixed points. Nevertheless, the knowledge of fixed points and their properties is not sufficient to determine the whole structure of chaotic attractors. In order to understand how chaotic attractors are shaped by singular sets of the differential equations governing the dynamics, flow curvature manifolds are computed. We show that the time dependent components of such manifolds structure Rössler-like chaotic attractors and may explain some limitation in the development of chaotic regimes.
International Journal of Bifurcation and Chaos, 2008
Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework ... more Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in this article that the curvature of the flow, i.e. the curvature of the trajectory curves of any n-dimensional dynamical system directly provides its slow manifold analytical equation the invariance of which will be then proved according to Darboux theory. Thus, it will be stated that the flow curvature method, which uses neither eigenvectors nor asymptotic expansions but only involves time derivatives of the velocity vector field, constitutes a general method simplifying and improving the slow invariant manifold analytical equation determination of high-dimensional dynamical systems. Moreover, it will be shown that this method generalizes the Tangent Linear System Approximation and encompasses the so-called Geometric Singular Perturbation Theory. Then, slow invariant manifolds analytical equation of paradi...
International Journal of Bifurcation and Chaos, 2010
At the beginning of the twentieth century while Henri Poincaré (1854–1912) was already deeply inv... more At the beginning of the twentieth century while Henri Poincaré (1854–1912) was already deeply involved in the developments of wireless telegraphy, he was invited, in 1908, to give a series of lectures at the École Supérieure des Postes et Télégraphes (today Sup'Télecom). In the last part of his presentation, he established that the necessary condition for the existence of a stable regime of maintained oscillations in a device of radio engineering completely analogous to the triode is the presence in the phase plane of stable limit cycle. The aim of this work is to prove that the correspondence highlighted by Andronov between the periodic solution of a nonlinear second-order differential equation and Poincaré's concept of limit cycle has been carried out by Poincaré himself, 20 years ago in some forgotten conferences of 1908.
arXiv (Cornell University), Jan 14, 2015
, http://ginoux.univ-tln.fr 51A51A Résumé. Le concept de ≪ cycle limite ≫ fut introduit par Henri... more , http://ginoux.univ-tln.fr 51A51A Résumé. Le concept de ≪ cycle limite ≫ fut introduit par Henri Poincaré dans son second mémoire ≪ Sur les courbes définies par uneéquation différentielle ≫ en 1882. Du point de vue de la Physique, un cycle limite stable (ou attractif) correspondà la représentation de la solution périodique d'un système (mécanique ouélectrique) dissipatif dont les oscillations sont entretenues par le système lui-même. Inversement, l'existence d'un cycle limite stable garantit l'entretien des oscillations. Jusqu'à présent, l'historiographie considérait que le mathématicien russe Aleksandr' Andronov avaitété le tout premieràétablir une telle correspondance entre la solution périodique d'un système auto-oscillant et le concept de cycle limite de Poincaré. La découverte récente d'une série de conférences réalisées par Henri Poincaré en 1908à l'Ecole Supérieure des Postes et Télégraphes (aujourd'hui Telecom Paris Tech) démontre qu'il avait déjà mis en application son concept de cycle limite pourétablir l'existence d'un régime stable d'ondes entretenues dans un dispositif de la T.S.F. 1 Cet article a donc pour objet d'une part de retracer l'émergence de ce concept depuis sa création par Poincaré et, d'autre part de mettre enévidence l'importance de son rôle dans l'histoire des oscillations non linéaires.
HAL (Le Centre pour la Communication Scientifique Directe), 2016
International audienc
In this work a new approach to stability analysis is applied to nonlinear oscillators. Based on t... more In this work a new approach to stability analysis is applied to nonlinear oscillators. Based on the use of local metrics properties of curvature and torsion resulting from Differential Geometry and while considering trajectory curves as plane or space curves, these properties directly provide their slow manifold analytical equation and its stable and unstable parts. Van der Pol and Colpitts models emphasize the application of this method to electronic systems.
IEEE Transactions on Circuits and Systems II: Express Briefs, 2019
We propose an electronic implementation to record Poincaré sections of dynamical systems exhibiti... more We propose an electronic implementation to record Poincaré sections of dynamical systems exhibiting chaos. Poincaré sections are obtained by sampling and holding the maxima of a sequence of pulses of a chaotic relaxation oscillator versus the same temporal sequence shifted by one unit. By using these sections we are able to detail the transition to chaos via torus breakdown.
Science & Sports, 2019
Titre court : sélection d'un programme de musculation pour des joueurs de squash
Biomedical Signal Processing and Control, 2016
Polysomnography (PSG) is the recording during sleep of multiple physiological parameters enabling... more Polysomnography (PSG) is the recording during sleep of multiple physiological parameters enabling to diagnose sleep disorders and to characterize sleep fragmentation. From PSG several sleep characteristics such as the micro arousal rate (MAR), the number of sleep stages shifts (SSS) and the rate of intra sleep awakenings (ISA) can be deduced each having its own fragmentation threshold value and each being more or less important (weight) in the clinician's diagnosis according to his specialization (pulmonologist, neurophysiologist and technical expert). In this work we propose a mathematical model of sleep fragmentation diagnosis based on these three main sleep characteristics (MAR, SSS, ISA) each having its own threshold and weight values for each clinician. Then, a database of 111 PSG consisting of 55 healthy adults and 56 adult patients with a suspicion of obstructive sleep apnoea syndrome (OSAS), has been diagnosed by nine clinicians divided into three groups (three pulmonologists, three neurophysiologists and three technical experts) representing a panel of polysomnography experts usually working in a hospital. This has enabled to determine statistically the thresholds and weights values which characterize each clinician's diagnosis. Thus, we show that the agreement between each clinician's diagnosis and each corresponding mathematical model goes from substantial (61% ) to almost perfect (81% ), according to their specialization and so, that the mean value of the agreements of each group is also substantial (73% ) despite the existing variability between clinicians. It follows from this result that our mathematical model of sleep fragmentation diagnosis is a posteriori validated for each clinician.
In 1908 Henri Poincar�e gave a series of `forgotten lectures' on wireless telegraphy in which... more In 1908 Henri Poincar�e gave a series of `forgotten lectures' on wireless telegraphy in which he demonstrated the existence of a stable limit cycle in the phase plane. In 1929 Aleksandr Andronov published a short note in the Comptes Rendus in which he stated that there is a correspondence between the periodic solution of self-oscillating systems and the concept of stable limit cycles introduced by Poincar�e. In this article the author describes these two major contributions to the development of nonlinear oscillation theory and their reception in France.
Springer Proceedings in Physics, 2006
This paper aims to analyze trajectories behavior and attractor structure of chaotic dynamical sys... more This paper aims to analyze trajectories behavior and attractor structure of chaotic dynamical systems with the Differential Geometry and Mechanics formalism. Applied to slow-fast autonomous dynamical systems (S-FADS), this approach provides: on the one hand a kinematics interpretation of the trajectories motion, and on the other hand, a direct determination of the slow manifold equation. The attractivity of this manifold established with a new criterion makes it possible to ensure attractors stability. Then, a qualitative description of the geometrical structure of the attractor is presented. It consists in considering it as the deployment in the space phase of a special submanifold that is called singular manifold. The attractor can be obtained by integration of initial conditions taken on this singular manifold. Applications of this method are made for the following models: cubic-Chua, and Volterra-Gause.
Understanding Complex Systems
Comparing neuronal bursting models (NBM) with slow-fast autonomous dynamical systems (S-FADS), it... more Comparing neuronal bursting models (NBM) with slow-fast autonomous dynamical systems (S-FADS), it appears that the specific features of a (NBM) do not allow a determination of the analytical slow manifold equation with the singular approximation method. So, a new approach based on Differential Geometry, generally used for (S-FADS), is proposed. Adapted to (NBM), this new method provides three equivalent manners of determination of the analytical slow manifold equation. Application is made for the three-variables model of neuronal bursting elaborated by Hindmarsh and Rose which is one of the most used mathematical representation of the widespread phenomenon of oscillatory burst discharges that occur in real neuronal cells.
A Festschrift for Leon ChuaWith DVD-ROM, composed by Eleonora Bilotta, 2013
On April 30 th 2008, the journal Nature announced that the missing circuit element, postulated th... more On April 30 th 2008, the journal Nature announced that the missing circuit element, postulated thirty-seven years before by Professor Leon O. Chua has been found. Thus, after the capacitor, the resistor and the inductor, the existence of a fourth fundamental element of electronic circuits called "memristor" was established. In order to point out the importance of such a discovery, the aim of this article is first to propose an overview of the manner with which the three others have been invented during the past centuries. Then, a comparison between the main properties of the singing arc, i.e. a forerunner device of the triode used in Wireless Telegraphy, and that of the memristor will enable to state that the singing arc could be considered as the oldest memristor.
Sensors (Basel, Switzerland), Jan 20, 2014
The monitoring of human breathing activity during a long period has multiple fundamental applicat... more The monitoring of human breathing activity during a long period has multiple fundamental applications in medicine. In breathing sleep disorders such as apnea, the diagnosis is based on events during which the person stops breathing for several periods during sleep. In polysomnography, the standard for sleep disordered breathing analysis, chest movement and airflow are used to monitor the respiratory activity. However, this method has serious drawbacks. Indeed, as the subject should sleep overnight in a laboratory and because of sensors being in direct contact with him, artifacts modifying sleep quality are often observed. This work investigates an analysis of the viability of an ultrasonic device to quantify the breathing activity, without contact and without any perception by the subject. Based on a low power ultrasonic active source and transducer, the device measures the frequency shift produced by the velocity difference between the exhaled air flow and the ambient environment, ...
In the ‘centennial year’ 2012 there will appear three books on life and work of Henri Poincare. E... more In the ‘centennial year’ 2012 there will appear three books on life and work of Henri Poincare. Each of the respective authors Jean-Marc Ginoux, Ferdinand Verhulst and Jeremy Gray gives a short description of his own book.
A new approach called Flow Curvature Method has been recently developed in a book entitled Differ... more A new approach called Flow Curvature Method has been recently developed in a book entitled Differential Geometry Applied to Dynamical Systems. It consists in considering the trajectory curve, integral of any n-dimensional dynamical system as a curve in Euclidean n-space that enables to analytically compute the curvature of the trajectory-or the flow. Hence, it has been stated on the one hand that the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold and on the other hand that such a manifold associated with any n-dimensional dynamical system directly provides its slow manifold analytical equation the invariance of which has been proved according to Darboux theory. The Flow Curvature Method has been already applied to many types of autonomous dynamical systems either singularly perturbed such as Van der Pol Model, FitzHugh-Nagumo Model, Chua's Model, ...) or non-singularly perturbed such as Pikovskii-Rabinovich-Trakhtengerts Model, Rikitake Model, Lorenz Model,... Moreover, it has been also applied to non-autonomous dynamical systems such as the Forced Van der Pol Model. In this article it will be used for the first time to analytically compute the slow invariant manifold analytical equation of the four-dimensional Unforced and Forced Heartbeat Model. Its slow invariant manifold equation which can be considered as a "state equation" linking all variables could then be used in heart prediction and control according to the strong correspondence between the model and the physiological cardiovascular system behavior.
Understanding Complex Systems
The aim of this work is to establish the existence of invariant manifolds in complex systems. Con... more The aim of this work is to establish the existence of invariant manifolds in complex systems. Considering trajectory curves integral of multiple time scales dynamical systems of dimension two and three (predator-prey models, neuronal bursting models) it is shown that there exists in the phase space a curve (resp. a surface) which is invariant with respect to the flow of such systems. These invariant manifolds are playing a very important role in the stability of complex systems in the sense that they are "restoring" the determinism of trajectory curves.
Journal of Physics A: Mathematical and Theoretical, 2011
The aim of this work is to establish that the bifurcation parameter value leading to a canard exp... more The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curvature Method. This result will be then exemplified with the classical Van der Pol oscillator.
Journal of Physics A: Mathematical and Theoretical, 2009
Poincaré recognized that phase portraits are mainly structured around fixed points. Nevertheless,... more Poincaré recognized that phase portraits are mainly structured around fixed points. Nevertheless, the knowledge of fixed points and their properties is not sufficient to determine the whole structure of chaotic attractors. In order to understand how chaotic attractors are shaped by singular sets of the differential equations governing the dynamics, flow curvature manifolds are computed. We show that the time dependent components of such manifolds structure Rössler-like chaotic attractors and may explain some limitation in the development of chaotic regimes.
International Journal of Bifurcation and Chaos, 2008
Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework ... more Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in this article that the curvature of the flow, i.e. the curvature of the trajectory curves of any n-dimensional dynamical system directly provides its slow manifold analytical equation the invariance of which will be then proved according to Darboux theory. Thus, it will be stated that the flow curvature method, which uses neither eigenvectors nor asymptotic expansions but only involves time derivatives of the velocity vector field, constitutes a general method simplifying and improving the slow invariant manifold analytical equation determination of high-dimensional dynamical systems. Moreover, it will be shown that this method generalizes the Tangent Linear System Approximation and encompasses the so-called Geometric Singular Perturbation Theory. Then, slow invariant manifolds analytical equation of paradi...
International Journal of Bifurcation and Chaos, 2010
At the beginning of the twentieth century while Henri Poincaré (1854–1912) was already deeply inv... more At the beginning of the twentieth century while Henri Poincaré (1854–1912) was already deeply involved in the developments of wireless telegraphy, he was invited, in 1908, to give a series of lectures at the École Supérieure des Postes et Télégraphes (today Sup'Télecom). In the last part of his presentation, he established that the necessary condition for the existence of a stable regime of maintained oscillations in a device of radio engineering completely analogous to the triode is the presence in the phase plane of stable limit cycle. The aim of this work is to prove that the correspondence highlighted by Andronov between the periodic solution of a nonlinear second-order differential equation and Poincaré's concept of limit cycle has been carried out by Poincaré himself, 20 years ago in some forgotten conferences of 1908.
Cette biographie présente un portrait inédit du célèbre physicien Albert Einstein entièrement réa... more Cette biographie présente un portrait inédit du célèbre physicien Albert Einstein entièrement réalisé à partir de coupures de presse d'un grand quotidien new-yorkais. Le nombre impressionnant d'articles rédigés sur sa vie et sur son oeuvre offre une approche originale du personnage. Il permet de reconstituer, presque au jour le jour, les événements les plus marquants de sa vie et de mettre en lumière certains de ses traits de caractère les plus intimes qui apparaissent dans les interviews qu'il accorda à ce quotidien. Cet ouvrage grand public, dénué de tout développement mathématique, fournit également une présentation de ses théories scientifiques (Relativité Restreinte et Générale, Théorie du Champ Unifié) qui deviennent accessibles à l'homme de la rue. Enfin, l'on découvre au fil des articles des anecdotes les plus drôles et les plus insolites, un Einstein inattendu. Jean-Marc Ginoux est docteur en mathématiques appliquées de l'université de Toulon et docteur en histoire des sciences de l'université Pierre et Marie Curie Paris VI. Il est maître de conférences à l'université de Toulon, spécialiste des systèmes dynamiques non linéaires et chaotiques et de leur histoire. Il est chercheur au Laboratoire des Sciences de l'Information et des Systèmes (CNRS UMR 7296) et chercheur associé aux Archives Henri Poincaré (CNRS UMR 7117).
This book presents a unique portrait of the famous physicist Albert Einstein entirely based on cl... more This book presents a unique portrait of the famous physicist Albert Einstein entirely based on clippings of a great New-York newspaper: The New York Times. The impressive number of articles about his life and his works offers an original approach to this character. It allows rebuilding, on one hand, almost day to day, the most significant events of his life and, on the other hand, it enables to highlight some of its most intimate traits that appear in the interviews he had granted to this newspaper. It also provides a popularized presentation, devoid of any mathematical development, of his scientific theories (Special and General Relativity and Unified Field Theory) which become thus accessible to the layman. At last, through many unusual and funny anecdotes contained in some unknown articles an unexpected portrait of Einstein is disclosed. Jean-Marc Ginoux has a PhD in Applied Mathematics from the University of Toulon and a second PhD in History of Sciences from the University Pierre et Marie Curie Paris VI. He is senior lecturer (ASR) at the University of Toulon and specialist of nonlinear and chaotic dynamical systems and their history. He is searcher at the Laboratoire des Sciences de l'Information et des Systèmes (CNRS UMR 7296) and associated searcher at the Archives Henri Poincaré (CNRS UMR 7117).