Hidden Degeneracies in Piecewise Smooth Dynamical Systems

DOI10.1142/S0218127416500875zbMath1343.34042OpenAlexW2416376717MaRDI QIDQ3187931

Mike R. Jeffrey

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1142/s0218127416500875

zbMATH Keywords

structural stabilitydegeneracydiscontinuityslidinglayerFilippovhidden

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)

Related Items (10)

A survey on the blow-up method for fast-slow systems ⋮ Exit from sliding in piecewise-smooth flows: Deterministic vs. determinacy-breaking ⋮ Nonlinear sliding and nonlinear regularization of piecewise smooth system ⋮ Inferring parameters of prey switching in a 1 predator-2 prey plankton system with a linear preference tradeoff ⋮ Two-fold singularities in nonsmooth dynamics—Higher dimensional analogs ⋮ Hidden Bifurcations and Attractors in Nonsmooth Dynamical Systems ⋮ Micro-Slip as a Loss of Determinacy in Dry-Friction Oscillators ⋮ Hidden dynamics for piecewise smooth maps ⋮ Loss of Determinacy at Small Scales, with Application to Multiple Timescale and Nonsmooth Dynamics ⋮ The Ghosts of Departed Quantities in Switches and Transitions

Cites Work

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• Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
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• Compensator based output feedback sliding mode controller design
• On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$

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