Exit from sliding in piecewise-smooth flows: Deterministic vs. determinacy-breaking

DOI10.1063/1.4943386zbMath1361.37069OpenAlexW2293824171WikidataQ50676299 ScholiaQ50676299MaRDI QIDQ5347060

Mike R. Jeffrey

Publication date: 19 May 2017

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

Full work available at URL: https://research-information.bris.ac.uk/en/publications/c41d8fb0-6002-4f91-abd7-253ccbf57c22

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (max. 100)

Solutions leaving a codimension-\(2\) sliding ⋮ Nonlinear sliding and nonlinear regularization of piecewise smooth system ⋮ Two-fold singularities in nonsmooth dynamics—Higher dimensional analogs ⋮ Micro-Slip as a Loss of Determinacy in Dry-Friction Oscillators ⋮ Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two ⋮ The Ghosts of Departed Quantities in Switches and Transitions

Cites Work

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• Piecewise smooth dynamical systems theory: the case of the missing boundary equilibrium bifurcations
• Strong realcompactness and strong Dieudonné completeness in topological groups
• Sliding modes in control and optimization. Transl. from the Russian
• Foundations of a theory of discontinuous systems. I
• Generic bifurcation of sliding vector fields
• Analysis and generic properties of gene regulatory networks with graded response functions
• A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis
• Sliding motion on the intersection of two manifolds: spirally attractive case
• Piecewise-smooth dynamical systems. Theory and applications
• The two-fold singularity of nonsmooth flows: leading order dynamics in \(n\)-dimensions
• Estimation of chaotic and regular (stick-slip and slip-slip) oscillations exhibited by coupled oscillators with dry friction
• Regularization of hidden dynamics in piecewise smooth flows
• Hidden dynamics in models of discontinuity and switching
• Prey Switching with a Linear Preference Trade-Off
• Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form
• Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding
• Hidden Degeneracies in Piecewise Smooth Dynamical Systems
• Numerical continuation of canard orbits in slow–fast dynamical systems
• Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
• One-Parameter Bifurcations in Planar Filippov Systems
• SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
• Grazing-sliding bifurcations, border collision maps and the curse of dimensionality for piecewise smooth bifurcation theory
• Invariant manifolds

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