Bifurcation of limit cycles by perturbing piecewise linear Hamiltonian systems with piecewise polynomials

DOI10.1142/s0218127423500591zbMath1544.37046MaRDI QIDQ6537686

Mao'an Han, Jiangbin Chen

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

bifurcationlimit cycleMelnikov functionpiecewise smooth system

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) 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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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