Daniel Berns | Universidad Nacional de la Patagonia (original) (raw)
Papers by Daniel Berns
Planta Piloto de Ingeniería Química, Dec 1, 2001
In this paper, two different methods to compute the period-doubling route to chaos (or Feigenbaum... more In this paper, two different methods to compute the period-doubling route to chaos (or Feigenbaum chaos) in nonlinear systems are presented. The first one is a semi-analytical procedure, based on a symbolic calculation of an approximate monodromy matrix. The second one takes advantage of software packages for continuation of periodic solutions. Both procedures are used to analyze Chua´s circuit. The second method is also applied to the Rössler system and one of the chaotic systems of Sprott. In all three cases, several period-doubling bifurcation points in the parameter space are detected, allowing to compute a sequence of values supposedly converging to Feigenbaum´s constant. This "experimental´´ computer verification agrees with experiments performed by other researchers in real systems. This material has been used in final projects in a graduate course in dynamical systems.Fil: Alonso, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; ArgentinaFil: Calandrini, Guillermo Luis. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; ArgentinaFil: Berns, Daniel Walther. Universidad Nacional de la Patagonia "San Juan Bosco"; ArgentinaFil: Paolini, Eduardo Emilio. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; ArgentinaFil: Moiola, Jorge Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentin
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2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353), 2000
ABSTRACT Approximations to recover the branch of multiple periodic solutions starting from a Hopf... more ABSTRACT Approximations to recover the branch of multiple periodic solutions starting from a Hopf bifurcation under the variation of the main bifurcation parameter are proposed. This task is accomplished with a normal form method and, simultaneously, by using a frequency domain approach. The classical Sibirskii's example and Chua's circuit are shown for illustration of the main results
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ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196)
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International Journal of Bifurcation and Chaos, 2000
This paper studies feedback control of limit cycle amplitudes in nonlinear systems. A graphical a... more This paper studies feedback control of limit cycle amplitudes in nonlinear systems. A graphical approach to bifurcation control is first briefly introduced, followed by the derivation of a nonlinear control law. Then, a suitable implementation of the design is developed via an approximation of the time-derivative term in the nonlinear state feedback controller. A classical model is finally simulated for illustration of the proposed control method.
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Automatica, 1998
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Automatica, 2001
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lcr.uns.edu.ar
... Adicionalmente, si se realiza la suma de las funciones de auto-correlación de cada una de las... more ... Adicionalmente, si se realiza la suma de las funciones de auto-correlación de cada una de las secuencias del conjunto (ΣAC) esta presenta valores nulos en los lóbulos laterales de dicha función. ... 53-56. [6] V. Raykar, I. Kozintsev, and R. Lienhart, "Position calibration of ...
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IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1998
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Latin American Applied Research, 1998
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Latin American Applied Research, 1999
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1999 European Control Conference (ECC), 1999
A quasi-analytical approach is developed in this paper for detecting the period-doubling bifurcat... more A quasi-analytical approach is developed in this paper for detecting the period-doubling bifurcation emerging near a Hopf bifurcation point. The new algorithm employs higher-order harmonic balance approximations (HBAs) to compute the monodromy matrix, which is useful for the study of bifurcations. Prediction of the period-doubling bifurcation is accomplished very accurately by using this computational procedure. An example is given to illustrate the main results, with an application to the delay control of the period-doubling bifurcation.
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1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329), 1997
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ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187), 1998
ABSTRACT A graphical approach is developed in this paper for detecting the period-doubling bifurc... more ABSTRACT A graphical approach is developed in this paper for detecting the period-doubling bifurcation emerging near the Hopf bifurcation point of a time-delayed feedback system. The new algorithm employs higher-order harmonic balance approximations (HBAs) for estimating the predicted periodic solutions of the system. Prediction of the period-doubling bifurcation is accomplished using a type of distortion index based on some information about the higher-order harmonics. The time-delayed Chua's circuit is used as an example for illustration
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2000 2nd International Conference. Control of Oscillations and Chaos. Proceedings (Cat. No.00TH8521), 2000
ABSTRACT This paper studies feedback control of limit cycle amplitudes in nonlinear systems. A su... more ABSTRACT This paper studies feedback control of limit cycle amplitudes in nonlinear systems. A suitable implementation of the design is developed via an approximation of the time-derivative term in the nonlinear state feedback controller. A classical model is finally simulated for illustration of the proposed control method
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Proceedings of International Conference on Neural Networks (ICNN'97), 1997
ABSTRACT We offer a graphical analysis for detecting orbital oscillations in a neural network mod... more ABSTRACT We offer a graphical analysis for detecting orbital oscillations in a neural network model. The approach taken is based on a frequency domain methodology, in which graphical techniques are used to capture some of the intrinsic dynamical features of periodic solutions in a nonlinear neural network system with time delays. The graphical analysis provides a correct detection of large-amplitude and multiple limit cycles existing in the network model
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Proceedings of the 36th IEEE Conference on Decision and Control, 1997
A bifurcation control problem of modifying the amplitudes of limit cycles via feedback is studied... more A bifurcation control problem of modifying the amplitudes of limit cycles via feedback is studied. A graphical approach reminiscent to the familiar describing function method is developed for validating the harmonic balance approximations of both the amplitude and the frequency of the system oscillatory outputs, starting from the Hopf bifurcation mechanism. The second, fourth, and sixth-order harmonic balance approximations provide
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Planta Piloto de Ingeniería Química, Dec 1, 2001
In this paper, two different methods to compute the period-doubling route to chaos (or Feigenbaum... more In this paper, two different methods to compute the period-doubling route to chaos (or Feigenbaum chaos) in nonlinear systems are presented. The first one is a semi-analytical procedure, based on a symbolic calculation of an approximate monodromy matrix. The second one takes advantage of software packages for continuation of periodic solutions. Both procedures are used to analyze Chua´s circuit. The second method is also applied to the Rössler system and one of the chaotic systems of Sprott. In all three cases, several period-doubling bifurcation points in the parameter space are detected, allowing to compute a sequence of values supposedly converging to Feigenbaum´s constant. This "experimental´´ computer verification agrees with experiments performed by other researchers in real systems. This material has been used in final projects in a graduate course in dynamical systems.Fil: Alonso, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; ArgentinaFil: Calandrini, Guillermo Luis. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; ArgentinaFil: Berns, Daniel Walther. Universidad Nacional de la Patagonia "San Juan Bosco"; ArgentinaFil: Paolini, Eduardo Emilio. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; ArgentinaFil: Moiola, Jorge Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentin
Bookmarks Related papers MentionsView impact
2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353), 2000
ABSTRACT Approximations to recover the branch of multiple periodic solutions starting from a Hopf... more ABSTRACT Approximations to recover the branch of multiple periodic solutions starting from a Hopf bifurcation under the variation of the main bifurcation parameter are proposed. This task is accomplished with a normal form method and, simultaneously, by using a frequency domain approach. The classical Sibirskii's example and Chua's circuit are shown for illustration of the main results
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196)
Bookmarks Related papers MentionsView impact
International Journal of Bifurcation and Chaos, 2000
This paper studies feedback control of limit cycle amplitudes in nonlinear systems. A graphical a... more This paper studies feedback control of limit cycle amplitudes in nonlinear systems. A graphical approach to bifurcation control is first briefly introduced, followed by the derivation of a nonlinear control law. Then, a suitable implementation of the design is developed via an approximation of the time-derivative term in the nonlinear state feedback controller. A classical model is finally simulated for illustration of the proposed control method.
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Automatica, 1998
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Automatica, 2001
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lcr.uns.edu.ar
... Adicionalmente, si se realiza la suma de las funciones de auto-correlación de cada una de las... more ... Adicionalmente, si se realiza la suma de las funciones de auto-correlación de cada una de las secuencias del conjunto (ΣAC) esta presenta valores nulos en los lóbulos laterales de dicha función. ... 53-56. [6] V. Raykar, I. Kozintsev, and R. Lienhart, "Position calibration of ...
Bookmarks Related papers MentionsView impact
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1998
Bookmarks Related papers MentionsView impact
Latin American Applied Research, 1998
Bookmarks Related papers MentionsView impact
Latin American Applied Research, 1999
Bookmarks Related papers MentionsView impact
1999 European Control Conference (ECC), 1999
A quasi-analytical approach is developed in this paper for detecting the period-doubling bifurcat... more A quasi-analytical approach is developed in this paper for detecting the period-doubling bifurcation emerging near a Hopf bifurcation point. The new algorithm employs higher-order harmonic balance approximations (HBAs) to compute the monodromy matrix, which is useful for the study of bifurcations. Prediction of the period-doubling bifurcation is accomplished very accurately by using this computational procedure. An example is given to illustrate the main results, with an application to the delay control of the period-doubling bifurcation.
Bookmarks Related papers MentionsView impact
1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329), 1997
Bookmarks Related papers MentionsView impact
ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187), 1998
ABSTRACT A graphical approach is developed in this paper for detecting the period-doubling bifurc... more ABSTRACT A graphical approach is developed in this paper for detecting the period-doubling bifurcation emerging near the Hopf bifurcation point of a time-delayed feedback system. The new algorithm employs higher-order harmonic balance approximations (HBAs) for estimating the predicted periodic solutions of the system. Prediction of the period-doubling bifurcation is accomplished using a type of distortion index based on some information about the higher-order harmonics. The time-delayed Chua's circuit is used as an example for illustration
Bookmarks Related papers MentionsView impact
2000 2nd International Conference. Control of Oscillations and Chaos. Proceedings (Cat. No.00TH8521), 2000
ABSTRACT This paper studies feedback control of limit cycle amplitudes in nonlinear systems. A su... more ABSTRACT This paper studies feedback control of limit cycle amplitudes in nonlinear systems. A suitable implementation of the design is developed via an approximation of the time-derivative term in the nonlinear state feedback controller. A classical model is finally simulated for illustration of the proposed control method
Bookmarks Related papers MentionsView impact
Proceedings of International Conference on Neural Networks (ICNN'97), 1997
ABSTRACT We offer a graphical analysis for detecting orbital oscillations in a neural network mod... more ABSTRACT We offer a graphical analysis for detecting orbital oscillations in a neural network model. The approach taken is based on a frequency domain methodology, in which graphical techniques are used to capture some of the intrinsic dynamical features of periodic solutions in a nonlinear neural network system with time delays. The graphical analysis provides a correct detection of large-amplitude and multiple limit cycles existing in the network model
Bookmarks Related papers MentionsView impact
Proceedings of the 36th IEEE Conference on Decision and Control, 1997
A bifurcation control problem of modifying the amplitudes of limit cycles via feedback is studied... more A bifurcation control problem of modifying the amplitudes of limit cycles via feedback is studied. A graphical approach reminiscent to the familiar describing function method is developed for validating the harmonic balance approximations of both the amplitude and the frequency of the system oscillatory outputs, starting from the Hopf bifurcation mechanism. The second, fourth, and sixth-order harmonic balance approximations provide
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact