Bifurcations of Finite-Time Stable Limit Cycles from Focus Boundary Equilibria in Impacting Systems, Filippov Systems, and Sweeping Processes

DOI10.1142/S0218127418501262zbMath1401.34047arXiv1806.10715OpenAlexW3099231536MaRDI QIDQ4691127

Lakmi Niwanthi Wadippuli Achchige, O. Yu. Makarenkov

Publication date: 18 October 2018

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

Full work available at URL: https://arxiv.org/abs/1806.10715

zbMATH Keywords

limit cycleFilippov systemsweeping processimpacting systemboundary focus bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

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Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ A Continuation Principle for Periodic BV-Continuous State-Dependent Sweeping Processes

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