Unfolding a codimension-two, discontinuous, Andronov–Hopf bifurcation

DOI10.1063/1.2976165zbMath1309.37047arXiv0804.3101OpenAlexW2037318283WikidataQ46221454 ScholiaQ46221454MaRDI QIDQ5246303

James D. Meiss, David J. W. Simpson

Publication date: 21 April 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3101

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence ⋮ On double boundary equilibrium bifurcations in piecewise smooth planar systems ⋮ The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems ⋮ Discontinuity induced bifurcations in a model of Saccharomyces cerevisiae ⋮ Bifurcations from families of periodic solutions in piecewise differential systems

Cites Work

• Direct transition from a stable equilibrium to quasiperiodicity in non-smooth systems
• Andronov-Hopf bifurcations in planar, piecewise-smooth, continuous flows
• Equilibrium-torus bifurcation in nonsmooth systems
• Mathematical physiology
• Hopf-like bifurcations in planar piecewise linear systems
• On the origin and bifurcations of stick-slip oscillations
• Piecewise-smooth dynamical systems. Theory and applications
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• On simplifying and classifying piecewise-linear systems
• BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS
• Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems

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