Daniel Berns | Universidad Nacional de la Patagonia (original) (raw)

Papers by Daniel Berns

Research paper thumbnail of Chaos prediction and bifurcation analysis in control engineering

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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Research paper thumbnail of On cyclic fold bifurcations in nonlinear systems

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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Research paper thumbnail of Bifurcation Control in Feedback Systems

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Research paper thumbnail of A quasi-analytical method for period-doubling bifurcation

ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196)

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Research paper thumbnail of Controlling Oscillation Amplitudes via Feedback

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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Research paper thumbnail of Feedback Control of Limit Cycle Amplitudes from A Frequency Domain Approach

Automatica, 1998

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Research paper thumbnail of Detecting period-doubling bifurcation: an approximate monodromy matrix approach

Automatica, 2001

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Research paper thumbnail of Comunicaciones en Sistema de Localización Relativo empleando Señales Acústicas Codificadas

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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Research paper thumbnail of Predicting period-doubling bifurcations and multiple oscillations in nonlinear time-delayed feedback systems

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1998

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Research paper thumbnail of Multiple oscillations in a chemical reactor

Latin American Applied Research, 1998

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Research paper thumbnail of Controlling degenerate Hopf bifurcations

Latin American Applied Research, 1999

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Research paper thumbnail of A quasi-analytical approach to period-doubling bifurcation computation and prediction

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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Research paper thumbnail of On the detection of period doubling bifurcations in nonlinear feedback systems

1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329), 1997

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Research paper thumbnail of Predicting period-doubling bifurcations in nonlinear time-delayed feedback systems

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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Research paper thumbnail of Controlling the amplitudes of oscillations in nonlinear systems

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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Research paper thumbnail of Detecting oscillations in neural networks via frequency domain analysis

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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Research paper thumbnail of Feedback control of limit cycle amplitudes

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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Research paper thumbnail of Artificial Intelligence, Machine Learning y otras exageraciones

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Research paper thumbnail of Chaos prediction and bifurcation analysis in control engineering

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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Research paper thumbnail of On cyclic fold bifurcations in nonlinear systems

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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Research paper thumbnail of Bifurcation Control in Feedback Systems

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Research paper thumbnail of A quasi-analytical method for period-doubling bifurcation

ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196)

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Research paper thumbnail of Controlling Oscillation Amplitudes via Feedback

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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Research paper thumbnail of Feedback Control of Limit Cycle Amplitudes from A Frequency Domain Approach

Automatica, 1998

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Research paper thumbnail of Detecting period-doubling bifurcation: an approximate monodromy matrix approach

Automatica, 2001

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Research paper thumbnail of Comunicaciones en Sistema de Localización Relativo empleando Señales Acústicas Codificadas

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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Research paper thumbnail of Predicting period-doubling bifurcations and multiple oscillations in nonlinear time-delayed feedback systems

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1998

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Research paper thumbnail of Multiple oscillations in a chemical reactor

Latin American Applied Research, 1998

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Research paper thumbnail of Controlling degenerate Hopf bifurcations

Latin American Applied Research, 1999

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Research paper thumbnail of A quasi-analytical approach to period-doubling bifurcation computation and prediction

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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Research paper thumbnail of On the detection of period doubling bifurcations in nonlinear feedback systems

1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329), 1997

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Research paper thumbnail of Predicting period-doubling bifurcations in nonlinear time-delayed feedback systems

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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Research paper thumbnail of Controlling the amplitudes of oscillations in nonlinear systems

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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Research paper thumbnail of Detecting oscillations in neural networks via frequency domain analysis

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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Research paper thumbnail of Feedback control of limit cycle amplitudes

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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Research paper thumbnail of Artificial Intelligence, Machine Learning y otras exageraciones

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