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Nonlinear dynamics and strange attractors in the biological system
This paper deals with the nonlinear dynamics of the biological system modeled by the multi-
limit cycles Van der Pol oscillator. Both the autonomous and non-autonomous cases are …
limit cycles Van der Pol oscillator. Both the autonomous and non-autonomous cases are …
Experimental observation of bursting patterns in Van der Pol oscillators
This paper presents an experimental demonstration of the generation of bursting patterns in
Van der Pol oscillator driven by two types of excitation. It is first shown numerically and …
Van der Pol oscillator driven by two types of excitation. It is first shown numerically and …
[کتاب][B] Noisy Oscillator, The: Random Mass, Frequency, Dam**
M Gitterman - 2012 - books.google.com
The properties of the harmonic oscillator with random frequency or/and random dam**
formed the content of the first edition. The second edition includes hundreds of publications …
formed the content of the first edition. The second edition includes hundreds of publications …
Dynamical behavior analysis of the Van der Pol oscillator with sine nonlinearity subjected to non-sinusoidal periodic excitations by the bifurcation structures
The present work studies the dynamical behavior of the Van der Pol oscillator with sine
nonlinearity subjected to the effects of non-sinusoidal excitations through the analysis of …
nonlinearity subjected to the effects of non-sinusoidal excitations through the analysis of …
[HTML][HTML] Design of a new chaotic system based on Van der Pol oscillator and its encryption application
J He, J Cai - Mathematics, 2019 - mdpi.com
The Van der Pol oscillator is investigated by the parameter control method. This method only
needs to control one parameter of the Van der Pol oscillator by a simple periodic function; …
needs to control one parameter of the Van der Pol oscillator by a simple periodic function; …
Analysis of the dynamics of new models of nonlinear systems with state variable dam** and elastic coefficients
This paper, is an analysis of the dynamics of new models of nonlinear systems in which the
state dam** variables with elastic coefficients, given by functions c cos\(px\), c sin\(px\) …
state dam** variables with elastic coefficients, given by functions c cos\(px\), c sin\(px\) …
Synchronization of two coupled self-excited systems with multi-limit cycles
HG Enjieu Kadji, R Yamapi… - Chaos: An Interdisciplinary …, 2007 - pubs.aip.org
We analyze the stability and optimization of the synchronization process between two
coupled self-excited systems modeled by the multi-limit cycles van der Pol oscillators …
coupled self-excited systems modeled by the multi-limit cycles van der Pol oscillators …
Nonlinear oscillators with state variable dam** and elastic coefficients
In the present work, we investigate the chaotic and limit-cycle behaviour of the new models
of damped nonlinear oscillators with elastic coefficients. The study concerning the stability of …
of damped nonlinear oscillators with elastic coefficients. The study concerning the stability of …
Bifurcation structure of a Van der Pol oscillator subjected to nonsinusoidal periodic excitation
Bifurcation structures of a Van der Pol oscillator subjected to the effects of nonsinusoidal
excitations are obtained both numerically and experimentally. It is found that the bifurcation …
excitations are obtained both numerically and experimentally. It is found that the bifurcation …
Dynamic behavior of pacemaker models subjected to a arterial pressure excitation simulator: theoretical and experimental study by microcontroller
The dynamical behaviors of three oscillators (the classical linear oscillator, the Van der Pol
oscillator and the Grudzinsky-Zebrowsky oscillator) subjected to periodic pulse excitation …
oscillator and the Grudzinsky-Zebrowsky oscillator) subjected to periodic pulse excitation …