Proof of two conjectures for perturbed piecewise linear Hamiltonian systems

DOI10.1016/J.NONRWA.2024.104195MaRDI QIDQ6641236

Shiyou Sui, Yongkang Zhang, Baoyi Li

Publication date: 20 November 2024

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

limit cycleMelnikov functionpiecewise smooth systemChebyshev property

Mathematics Subject Classification ID

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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