The Hopf cyclicity of Lienard systems

DOI10.1016/S0893-9659(00)00133-6zbMath0997.34026OpenAlexW2072123773MaRDI QIDQ5938900

Mao'an Han

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00133-6

zbMATH Keywords

Hopf cyclicityLiénard systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (13)

Global bifurcation of limit cycles in a family of polynomial systems ⋮ General study on limit cycle bifurcation near a double homoclinic loop ⋮ Limit cycle bifurcations from a nilpotent focus or center of planar systems ⋮ ON THE NUMBER OF LIMIT CYCLES IN NEAR-HAMILTONIAN POLYNOMIAL SYSTEMS ⋮ The global bifurcation of a cubic system ⋮ Lag, anticipated, and complete synchronization and cascade control in the dynamical systems ⋮ Perturbations of a class of hyper-elliptic Hamiltonian systems of degree seven with nilpotent singular points ⋮ GLOBAL BIFURCATION OF LIMIT CYCLES IN A FAMILY OF MULTIPARAMETER SYSTEM ⋮ BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS ⋮ Symbolic computation of limit cycles associated with Hilbert's 16th problem ⋮ Limit cycles of a class of generalized Liénard polynomial equations ⋮ Hopf cyclicity of a family of generic reversible quadratic systems with one center ⋮ The number of limit cycles for a family of polynomial systems

Cites Work

• Unnamed Item
• Cyclicity of a family of vector fields
• Small-amplitude limit cycles in polynomial Liénard systems
• The number of small-amplitude limit cycles of Liénard equations

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