Bounding the number of limit cycles for a polynomial Liénard system by using regular chains
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Publication:507129
DOI10.1016/j.jsc.2016.02.004zbMath1365.34063OpenAlexW2306799711MaRDI QIDQ507129
Publication date: 3 February 2017
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsc.2016.02.004
Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
Related Items (15)
Bounding the number of limit cycles for parametric Liénard systems using symbolic computation methods ⋮ Poincaré Bifurcation of Some Nonlinear Oscillator of Generalized Liénard Type Using Symbolic Computation Method ⋮ Using Symbolic Computation to Analyze Zero-Hopf Bifurcations of Polynomial Differential Systems ⋮ Limit cycle bifurcations by perturbing non-smooth Hamiltonian systems with 4 switching lines via multiple parameters ⋮ Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system with a degenerate heteroclinic loop ⋮ Limit cycles near a homoclinic loop connecting a tangent saddle in a perturbed quadratic Hamiltonian system ⋮ Nine limit cycles in a 5-degree polynomials Liénard system ⋮ Center Conditions and Bifurcation of Limit Cycles Created from a Class of Second-Order ODEs ⋮ Limit Cycle Bifurcations by Perturbing a Hamiltonian System with a 3-Polycycle Having a Cusp of Order One or Two ⋮ Maximum Number of Small Limit Cycles in Some Rational Liénard Systems with Cubic Restoring Terms ⋮ On the number of limit cycles bifurcated from some Hamiltonian systems with a non-elementary heteroclinic loop ⋮ Exact bound on the number of zeros of abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4 ⋮ Poincaré bifurcation of limit cycles from a Liénard system with a homoclinic loop passing through a nilpotent saddle ⋮ Perturbation of a period annulus bounded by a saddle-saddle cycle in a hyperelliptic Hamiltonian systems of degree seven ⋮ Symbolic computation for the qualitative theory of differential equations
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