Hopf bifurcation and stability of periodic solutions for van der Pol equation with distributed delay

DOI10.1023/A:1012927603832zbMath1004.70019OpenAlexW3010826959MaRDI QIDQ5959337

Zhongfu Wu, Kwok-Wo Wong, Xiaofeng Liao

Publication date: 26 March 2002

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012927603832

zbMATH Keywords

periodic solutionslinear stabilitycenter manifold theoremHopf bifurcationsvan der Pol equationRouth-Hurwitz criterionasymptotic stability conditionsbifurcation parameterdistributed time delaynormal form theory

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50)

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Global robust stability of neural networks with time varying delays ⋮ Some new results for the generalized Lorenz system ⋮ Local stability and Hopf bifurcation of two-dimensional nonlinear descriptor system ⋮ Hopf bifurcation in delayed van der Pol oscillators ⋮ Dynamics of unidirectionally-coupled ring neural network with discrete and distributed delays ⋮ STABILITY AND HOPF BIFURCATION ON A TWO-NEURON SYSTEM WITH TIME DELAY IN THE FREQUENCY DOMAIN ⋮ Stability and Hopf bifurcation in van der Pol oscillators with state-dependent delayed feedback ⋮ Hopf bifurcation analysis for the van der Pol equation with discrete and distributed delays ⋮ Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with time delays ⋮ Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay

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