Control of chaotic behavior in the dynamics of generalized Bonhoeffer-van der Pol system: effect of asymmetric parameter
DOI10.1016/J.CNSNS.2021.106017zbMath1482.34086OpenAlexW3196454193MaRDI QIDQ2247016
Armel Viquit Sonna, David Yemélé
Publication date: 16 November 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106017
chaosbifurcationsheteroclinic orbitshomoclinic orbitsMelnikov theoryasymmetric parametertransverse intersectionADVP systemGBVP system
Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Complex behavior and chaotic systems of ordinary differential equations (34C28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Chaos control for problems involving ordinary differential equations (34H10)
Cites Work
- Mixed-mode oscillations and chaos from a simple second-order oscillator under weak periodic perturbation
- Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer-van der Pol oscillator
- Prediction of horseshoe chaos in BVP and DVP oscillators
- Algorithms for controlling chaotic motion: Application for the BVP oscillator
- Resonant oscillation and homoclinic bifurcation in a \(\Phi^{6}\)-van der Pol oscillator
- Active control of extended Van der Pol equation
- Symmetry-breaking analysis for the general Helmholtz-Duffing oscillator
- Symmetry-breaking in the response of the parametrically excited pendulum model
- CHARACTERISTICS OF STOCHASTIC RESONANCE IN ASYMMETRIC DUFFING OSCILLATOR
- Feedback control and adaptive synchronization of chaotic forced Bonhoeffer–van der Pol oscillators
- Chaos suppression through asymmetric coupling
- Numerical Studies of the Periodically Forced Bonhoeffer van der Pol System
- CONTROLLING OF CHAOS IN BONHOEFFER- VAN DER POL OSCILLATOR
- Analytical and numerical studies of the Bonhoeffer van der Pol system
This page was built for publication: Control of chaotic behavior in the dynamics of generalized Bonhoeffer-van der Pol system: effect of asymmetric parameter