Stability and bifurcation analysis in the delay-coupled van der Pol oscillators

DOI10.1016/J.APM.2009.10.037zbMath1195.34109OpenAlexW2015113655MaRDI QIDQ1957307

Jianming Zhang, Xinsheng Gu

Publication date: 25 September 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.10.037

zbMATH Keywords

Hopf bifurcationnormal formstability switchescoupled van der Pol equations

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18)

Related Items (10)

Stability and bifurcation analysis in the delay-coupled nonlinear oscillators ⋮ Boundedness for network of stochastic coupled Van der Pol oscillators with time-varying delayed coupling ⋮ Triple-zero bifurcation in van der Pol's oscillator with delayed feedback ⋮ Stability and bifurcation analysis of delay coupled Van der Pol-Duffing oscillators ⋮ A graph‐theoretic approach to stability of neutral stochastic coupled oscillators network with time‐varying delayed coupling ⋮ De-synchronization and chaos in two inductively coupled Van der Pol auto-generators ⋮ Graph-Theoretic Approach to Exponential Stability of Delayed Coupled Systems on Networks under Periodically Intermittent Control ⋮ Multistability and fast-slow analysis for van der Pol-Duffing oscillator with varying exponential delay feedback factor ⋮ Hopf-pitchfork bifurcation of coupled van der Pol oscillator with delay ⋮ Exponential synchronization of stochastic coupled oscillators networks with delays

Cites Work

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• Bifurcation analysis in van der Pol's oscillator with delayed feedback
• Stability and bifurcation analysis in Van der Pol's oscillator with delayed feedback
• VAN DER POL'S OSCILLATOR UNDER DELAYED FEEDBACK

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