De-synchronization and chaos in two inductively coupled Van der Pol auto-generators

DOI10.1016/j.chaos.2014.12.017zbMath1352.34058OpenAlexW2064349161MaRDI QIDQ728358

R. Y. Beregov, Alexey V. Melkikh

Publication date: 20 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2014.12.017

zbMATH Keywords

desynchronizationcoupled Van der Pol oscillatorsmetastable chaos

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Simulation of dynamical systems (37M05) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (1)

TUNING OF IMC CONTROLLER FOR SYSTEMS WITH TIME-DELAY USING AN IMPROVED STRANGE NONCHAOTIC OPTIMIZATION APPROACH

Cites Work

• Unnamed Item
• Analytical solution for van der Pol-Duffing oscillators
• Coupled Van der Pol-Duffing oscillators: phase dynamics and structure of synchronization tongues
• Properties of synchronization in the systems of non-identical coupled van der Pol and van der Pol-Duffing oscillators. Broadband synchronization
• Amplitude control of a limit cycle in a coupled van der Pol system
• Determining Lyapunov exponents from a time series
• Strange attractors that are not chaotic
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Existence of limit cycles for coupled van der Pol equations.
• Synchronization dynamics of coupled van der Pol systems
• Stability and bifurcation analysis in the delay-coupled van der Pol oscillators
• Bifurcation analysis in van der Pol's oscillator with delayed feedback
• On the periodic solutions of a generalized non-linear Van der Pol oscillator
• Synchronization for two coupled oscillators with inhibitory connection
• Ergodic theory of chaos and strange attractors
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments

This page was built for publication: De-synchronization and chaos in two inductively coupled Van der Pol auto-generators