Nontrivial limit cycles in a kind of piecewise smooth generalized Abel equation

DOI10.1142/s0218127422502169zbMath1544.34045MaRDI QIDQ6537545

Jiang Yu, Qianqian Zhao, Cheng Wang

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

bifurcationMelnikov functionpiecewise smooth functiongeneralized Abel functionnontrivial limit cycle

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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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