Bifurcations from families of periodic solutions in piecewise differential systems

DOI10.1016/j.physd.2020.132342zbMath1500.34031arXiv1804.08175OpenAlexW2999471114WikidataQ126335004 ScholiaQ126335004MaRDI QIDQ2116253

Jaume Llibre, Camila Ap. B. Rodrigues, Douglas Duarte Novaes

Publication date: 16 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08175

zbMATH Keywords

periodic solutionLyapunov-Schmidt reductionaveraging methodnon-smooth differential systempiecewise smooth differential system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonautonomous smooth dynamical systems (37C60)

Related Items (5)

An algorithmic approach to small limit cycles of nonlinear differential systems: the averaging method revisited ⋮ Study of Periodic Orbits in Periodic Perturbations of Planar Reversible Filippov Systems Having a Twofold Cycle ⋮ Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications ⋮ Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries ⋮ Limit Cycle Bifurcations in a Class of Piecewise Smooth Polynomial Systems

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