Chaos in ordinary differential equations with multivalued perturbations: Applications to dry friction problems

DOI10.1016/S0362-546X(96)00141-1zbMath0894.34010MaRDI QIDQ4377200

Michal Fečkan

Publication date: 7 September 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

differential inclusionsmultivalued mappingsLyapunov-Schmidt decompositionchaotic solutionsgeneralized Leray-Schauder degree

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Generalized Hukuhara differentiability of interval-valued functions and interval differential equations

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Periodic solutions of dry friction problems
• Bifurcation from homoclinic to periodic solutions in ordinary differential equations with multivalued perturbations
• Exponential dichotomies and transversal homoclinic points
• Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
• Almost periodicity enforced by Coulomb friction
• Über die Stabilität gedämpfter erzwungener Bewegungen mit linearer Rückstellkraft
• Stick-slip vibrations and chaos
• Bifurcation from homoclinic to periodic solutions in singularly perturbed differential inclusions
• Erzwungene Schwingungen mit zäher Dämpfung und starker Gleitreibung
• Dynamical behaviour of a friction oscillator with simultaneous self and external excitation.

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