Piecewise Linear Analogue of Hopf-Zero Bifurcation in an Extended BVP Oscillator

DOI10.1007/978-3-319-06953-1_12zbMATH Open1328.34033OpenAlexW162033077MaRDI QIDQ3448877

J. Ros, Enrique Ponce, Elísabet Vela

Publication date: 27 October 2015

Published in: Advances in Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06953-1_12

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) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discontinuous ordinary differential equations (34A36)

Cites Work

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• Stable torus and its bifurcation phenomena in a simple three-dimensional autonomous circuit
• Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry
• A Hopf-Zero Degenerated Case in Symmetric Piecewise Linear Systems
• On simplifying and classifying piecewise-linear systems

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