On the purposeful coarsening of smooth vector fields

DOI10.1007/s11071-006-9173-2zbMath1193.70033OpenAlexW2022930209WikidataQ114308554 ScholiaQ114308554MaRDI QIDQ842249

Harry J. Dankowicz

Publication date: 22 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9173-2

zbMATH Keywords

coarseningbifurcation analysisgrazing bifurcationspiecewise-smooth dynamical systems

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50)

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Cites Work

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• Analysis of grazing bifurcations of quasiperiodic system attractors
• Nonlinear dynamics of atomic–force–microscope probes driven in Lennard–Jones potentials
• Dynamics of a piecewise-linear resonant circuit
• EFFECTS DUE TO LOW VELOCITY IMPACT IN MECHANICAL OSCILLATORS
• Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators
• Discontinuity mappings for vector fields with higher order continuity
• Unfolding degenerate grazing dynamics in impact actuators
• Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems

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