AMPLITUDE CONTROL OF LIMIT CYCLE IN VAN DER POL SYSTEM

DOI10.1142/S0218127406014952zbMath1105.34323MaRDI QIDQ5484875

Zi-Li Chen, Jia-Shi Tang

Publication date: 21 August 2006

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

zbMATH Keywords

controllimit cycleHopf bifurcationamplitudevan der Pol oscillator

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Control problems involving ordinary differential equations (34H05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (7)

Controlling Hopf bifurcation of a new modified hyperchaotic Lü system ⋮ Amplitude control of limit cycles in Langford system ⋮ Amplitude control of a limit cycle in a coupled van der Pol system ⋮ Control of the nonlinear oscillator bifurcation under a superharmonic resonance ⋮ Hopf bifurcation control of calcium oscillations in hepatocytes ⋮ SADDLE-NODE BIFURCATION AND ITS CONTROL OF BURGERS–KdV EQUATION ⋮ ANTISYNCHRONIZATION OF IDENTICAL AND NONIDENTICAL Φ⁶ VAN DER POL AND Φ⁶ DUFFING OSCILLATORS WITH BOTH PARAMETRIC AND EXTERNAL EXCITATIONS VIA BACKSTEPPING APPROACH

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
• 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

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