Birth of Isolated Nested Cylinders and Limit Cycles in 3D Piecewise Smooth Vector Fields with Symmetry

DOI10.1142/S0218127420500984zbMath1448.37025arXiv1702.01306OpenAlexW3038557274MaRDI QIDQ5116620

Tiago de Carvalho, Bruno Rodrigues de Freitas

Publication date: 18 August 2020

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

Full work available at URL: https://arxiv.org/abs/1702.01306

zbMATH Keywords

periodic solutionslimit cyclesbifurcationpiecewise smooth vector fieldsinvariant cylinders

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Symmetries and invariants of dynamical systems (37C79)

Related Items (3)

Dynamics of a two-dimensional map on nested circles and rings ⋮ Bifurcation of piecewise smooth manifolds from 3D center-type vector fields ⋮ Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications

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