Van der Pol and chaos

M Kennedy, L Chua - IEEE Transactions on Circuits and …, 1986 - ieeexplore.ieee.org
Van der Pol noted that “often an irregular noise is heard in the telephone receiver before the
… -adding route to chaos, first verifying and elaborating on the work of Van der Pol, and then …

Controlling chaos—Forced van der pol equation

M Cooper, P Heidlauf, T Sands - Mathematics, 2017 - mdpi.com
… the van der Pol equation of oscillatory circuits. This study investigates the control design for
the forced van der Pol … is unable to control the nonlinear van der Pol equation, but idealized …

[PDF][PDF] Global chaos synchronization of the forced Van der Pol chaotic oscillators via adaptive control method

S Vaidyanathan - International Journal of PharmTech Research, 2015 - researchgate.net
… for the global chaos synchronization of the identical forced Van der Pol chaotic oscillators
via … Van der Pol chaotic oscillator and the adaptive synchronization of the forced Van der Pol

Controlling Chaos in Van Der Pol Dynamics Using Signal-Encoded Deep Learning

H Zhai, T Sands - Mathematics, 2022 - mdpi.com
van der Pol in 1920 when he was an engineer working for the Philips Company (in the
Netherlands) while studying oscillating circuits [38,39,40]. The van der Pol … the van der Pol system …

Chaos in a generalized van der Pol system and in its fractional order system

ZM Ge, MY Hsu - Chaos, Solitons & Fractals, 2007 - Elsevier
… In this paper, chaos of a generalized van der Pol system with … Chaos in the nonautonomous
generalized van der Pol … In this paper, chaos of a generalized van der Pol system both with …

Chaos, feedback control and synchronization of a fractional-order modified Autonomous Van der Pol–Duffing circuit

AE Matouk - Communications in Nonlinear Science and Numerical …, 2011 - Elsevier
… -order modified Autonomous Van der Pol–Duffing (… that chaos exists in this system with
order less than 3. Furthermore, the fractional Routh–Hurwitz conditions are used to control chaos

Chaos control of chaotic limit cycles of real and complex van der Pol oscillators

GM Mahmoud, AAM Farghaly - Chaos, Solitons & Fractals, 2004 - Elsevier
Chaos control and nonlinear dynamics of both real and complex nonlinear … The chaos
control of chaotic unstable limit cycles of real and complex (or coupled) nonlinear van der Pol

Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept

JM Ginoux, C Letellier - Chaos: An Interdisciplinary Journal of …, 2012 - pubs.aip.org
… […] In his paper, 3 on ‘Relaxation-Oscillations’ van der Pol was the first … van der Pol equation,
4 probably triggered the historiography in this domain to be mainly focused on van der Pol’…

Bifurcations and chaos of the Bonhoeffer-van der Pol model

W Wang - Journal of Physics A: Mathematical and General, 1989 - iopscience.iop.org
… Periodic and chaotic behaviour of the Bonhoeffer-van der Pol model of … A prominent example
of such a system is the van der Pol … The Bonhoeffer-van der Pol (BVP) model for an excited …

Chaos control of new Mathieu–van der Pol systems by fuzzy logic constant controllers

SY Li - Applied Soft Computing, 2011 - Elsevier
… This section introduces new Mathieu–van der Pol system. Mathieu equation and van der Pol
… (3-2) with x 1 , we obtain the autonomous new Mathieu–van der Pol system:(3-3) x 1 = x 2 x …