Synchronization of two coupled self-excited systems with multi-limit cycles

DOI10.1063/1.2759437zbMath1163.37343OpenAlexW1997173203WikidataQ46554005 ScholiaQ46554005MaRDI QIDQ3636599

J. B. Chabi Orou, H. G. Enjieu Kadji, Rene Yamapi

Publication date: 1 July 2009

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2759437

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (13)

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 ⋮ 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 ⋮ Stochastic bifurcations induced by correlated noise in a birhythmic van der Pol system ⋮ Systematic designing of bi-rhythmic and tri-rhythmic models in families of Van der Pol and Rayleigh oscillators ⋮ Bifurcations in a fractional birhythmic biological system with time delay ⋮ Reduction of kinetic equations to Liénard-Levinson-Smith form: counting limit cycles ⋮ Stochastic Bifurcations in a Birhythmic Biological Model with Time-Delayed Feedbacks ⋮ Recurrence analysis and synchronization of oscillators with coexisting attractors ⋮ Bifurcation Analysis of a Self-Sustained Birhythmic Oscillator Under Two Delays and Colored Noises ⋮ Suppressing birhythmicity by parametrically modulating nonlinearity in limit cycle oscillators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Synchronization dynamics in a ring of four mutually coupled biological systems
• Stability and optimization of chaos synchronization through feedback coupling with delay
• Nonlinear dynamics and strange attractors in the biological system
• Synchronization of Pulse-Coupled Biological Oscillators
• Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system.
• EXPERIMENTAL DEMONSTRATION OF SECURE COMMUNICATIONS VIA CHAOTIC SYNCHRONIZATION
• Nonlinear dynamics of physiological function and control
• Delayed Coupling Between Two Neural Network Loops
• Synchronization in chaotic systems

This page was built for publication: Synchronization of two coupled self-excited systems with multi-limit cycles