Limit cycles bifurcated from piecewise Hamiltonian systems by Melnikov functions of any order

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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) Discontinuous ordinary differential equations (34A36)

Cites Work

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Elliptic integrals and their nonoscillation
Limit cycles via higher order perturbations for some piecewise differential systems
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BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
The Curious History of Faa di Bruno's Formula
Successive derivatives of a first return map, application to the study of quadratic vector fields
An Equivalent Formulation of the Averaged Functions via Bell Polynomials
Second Order Melnikov Functions of Piecewise Hamiltonian Systems

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