Study of Periodic Orbits in Periodic Perturbations of Planar Reversible Filippov Systems Having a Twofold Cycle

DOI10.1137/19M1289959zbMath1459.34059arXiv1910.01954OpenAlexW3101859700MaRDI QIDQ5120015

Iris O. Zeli, Marco Antonio Teixeira, Douglas Duarte Novaes, Teresa M. Seara

Publication date: 9 September 2020

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01954

zbMATH Keywords

periodic solutionsFilippov systemspiecewise smooth differential systemssliding dynamicstwofold singularity

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) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonautonomous smooth dynamical systems (37C60)

Related Items

On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities ⋮ Bifurcations of a generalized heteroclinic loop in a planar piecewise smooth system with periodic perturbations

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