Boundary-equilibrium bifurcations in piecewise-smooth slow-fast systems

DOI10.1063/1.3596708zbMath1317.93179OpenAlexW1978248513WikidataQ39989438 ScholiaQ39989438MaRDI QIDQ5264535

Paul Glendinning, Piotr Kowalczyk

Publication date: 27 July 2015

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

Full work available at URL: http://eprints.maths.manchester.ac.uk/1590/1/main_Rev.pdf

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

Related Items (9)

Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ Dimension reduction for slow-fast, piecewise-linear ODEs and obstacles to a general theory ⋮ Estimating the dynamics of systems with noisy boundaries ⋮ A Predator--2 Prey Fast--Slow Dynamical System for Rapid Predator Evolution ⋮ On Filippov solutions of discontinuous DAEs of index 1 ⋮ Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model ⋮ Canard-like phenomena in piecewise-smooth Van der Pol systems ⋮ Hopf-like boundary equilibrium bifurcations involving two foci in Filippov systems ⋮ Discontinuity mappings for stochastic nonsmooth systems

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