Chaotic solutions in differential inclusions: chaos in dry friction problems

Fečkan, Michal

doi:10.1090/S0002-9947-99-02181-9

Chaotic solutions in differential inclusions: chaos in dry friction problems
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by Michal Fečkan

Trans. Amer. Math. Soc. 351 (1999), 2861-2873

DOI: https://doi.org/10.1090/S0002-9947-99-02181-9

Published electronically: March 1, 1999

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Abstract:

The existence of a continuum of many chaotic solutions is shown for certain differential inclusions which are small periodic multivalued perturbations of ordinary differential equations possessing homoclinic solutions to hyperbolic fixed points. Applications are given to dry friction problems. Singularly perturbed differential inclusions are investigated as well.

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