On the hyperelliptic limit cycles of Liénard systems

DOI10.1088/0951-7715/25/6/1601zbMath1366.34045OpenAlexW2022767700MaRDI QIDQ2895578

Changjian Liu, Jiazhong Yang, Guoting Chen

Publication date: 3 July 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/960014fd9a9867debf372d154dbabbac55b7743b

Mathematics Subject Classification ID

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

Related Items (14)

Liouvillian integrability versus Darboux polynomials ⋮ Invariant algebraic curves for Liénard dynamical systems revisited ⋮ The method of Puiseux series and invariant algebraic curves ⋮ Poincaré Bifurcation of Some Nonlinear Oscillator of Generalized Liénard Type Using Symbolic Computation Method ⋮ Double homoclinic bifurcations by perturbing a class of cubic \(\mathrm{Z}_2\)-equivariant polynomial systems with nilpotent singular points ⋮ Global dynamics of a Wilson polynomial Liénard equation ⋮ Perturbations of a class of hyper-elliptic Hamiltonian systems of degree seven with nilpotent singular points ⋮ Multiple limit cycles of some strongly nonlinear Liénard-van der Pol oscillator ⋮ Fixed and moving limit cycles for Liénard equations ⋮ Invariant algebraic curves and hyperelliptic limit cycles of Liénard systems ⋮ Phase portraits of the quadratic polynomial Liénard differential systems ⋮ On the number of hyperelliptic limit cycles of Liénard systems ⋮ On the number of zeros of Abelian integral for a class of cubic Hamiltonian systems ⋮ A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves

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