BIFURCATION STRUCTURE OF A DRIVEN MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR (II): SYMMETRY-BREAKING CRISIS AND INTERMITTENCY

DOI10.1142/S021812749100052XzbMath0878.34030OpenAlexW1986967255MaRDI QIDQ4348425

No author found.

Publication date: 15 January 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812749100052x

zbMATH Keywords

bifurcations chaotic attractors chaotic solutions van der Pol oscillator symmetry-breaking type III intermittency transition

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (15)

Noise-induced shifts in dynamics of multi-rhythmic population SIP-model ⋮ Active control of extended Van der Pol equation ⋮ Stochastic sensitivity analysis of noise-induced transitions in a biochemical model with birhythmicity ⋮ Bifurcations in a Time-Delayed Birhythmic Biological System with Fractional Derivative and Lévy Noise ⋮ Delay-induced transitions in the birhythmic biological model under joint noise sources ⋮ Effective Fokker-Planck equation for birhythmic modified van der Pol oscillator ⋮ DYNAMICS AND ACTIVE CONTROL OF MOTION OF A DRIVEN MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR ⋮ Stability of the synchronization manifold in nearest neighbor nonidentical van der Pol-like oscillators ⋮ Lévy noise induced transitions and enhanced stability in a birhythmic Van der Pol system ⋮ Bifurcations in a fractional birhythmic biological system with time delay ⋮ Effects of noise correlation on the coherence of a forced van der Pol type birhythmic system ⋮ Stochastic Bifurcations in a Birhythmic Biological Model with Time-Delayed Feedbacks ⋮ Nonlinear dynamics and strange attractors in the biological system ⋮ Bifurcation Analysis of a Self-Sustained Birhythmic Oscillator Under Two Delays and Colored Noises ⋮ On stochastic response of fractional-order generalized birhythmic van der Pol oscillator subjected to delayed feedback displacement and Gaussian white noise excitation

This page was built for publication: BIFURCATION STRUCTURE OF A DRIVEN MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR (II): SYMMETRY-BREAKING CRISIS AND INTERMITTENCY