Amplitude control of a limit cycle in a coupled van der Pol system

DOI10.1016/j.na.2009.01.130zbMath1175.34038OpenAlexW4231989625MaRDI QIDQ923903

Han Xiao, Xiao Wu, Feng Han, Jia-Shi Tang

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.130

zbMATH Keywords

limit cyclefeedback controlleramplitudecoupled van der Pol system

Mathematics Subject Classification ID

Feedback control (93B52) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Control problems involving ordinary differential equations (34H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (7)

Anti-controlling Hopf bifurcation in a type of centrifugal governor system ⋮ Controlling Hopf bifurcation of a new modified hyperchaotic Lü system ⋮ Boundedness for network of stochastic coupled Van der Pol oscillators with time-varying delayed coupling ⋮ Travelling wave solutions for the \((2+1)\) dimensional Nizhnik-Novikov-Veselov equation ⋮ 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 ⋮ A refined asymptotic perturbation method for nonlinear dynamical systems

Cites Work

• Vibration control for the primary resonance of the van der Pol oscillator by a time delay state feedback
• Symmetry induced oscillations in four-dimensional models deriving from the van der Pol equation
• Asymptotic solution for a kind of boundary layer problem
• The asymptotic solution of the strongly non-linear Klein–Gordon equation
• FRACTIONAL VAN DER POL EQUATIONS
• NUMERICAL STUDY OF A NON-STANDARD FINITE-DIFFERENCE SCHEME FOR THE VAN DER POL EQUATION
• BIFURCATIONS IN A POWER SYSTEM MODEL
• BIFURCATION CONTROL: THEORIES, METHODS, AND APPLICATIONS
• AMPLITUDE CONTROL OF LIMIT CYCLE IN VAN DER POL SYSTEM

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