Chaotic solutions in differential inclusions: chaos in dry friction problems

DOI10.1090/S0002-9947-99-02181-9zbMath0921.34016MaRDI QIDQ4243629

Michal Fečkan

Publication date: 19 May 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

differential inclusionsmultivalued mappingschaotic solutionssingularly perturbed differential inclusions

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (6)

Chaos for multivalued maps and induced hyperspace maps ⋮ Melnikov method and detection of chaos for non-smooth systems ⋮ GENERALIZED SEMIFLOWS AND CHAOS IN MULTIVALUED DYNAMICAL SYSTEMS ⋮ Chaos in the beam equation ⋮ Numerical computation of connecting orbits in planar piecewise smooth dynamical system ⋮ CHAOS IN NONAUTONOMOUS DIFFERENTIAL INCLUSIONS

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Exponential dichotomies and transversal homoclinic points
• Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
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