
{\bf Chaos in non-autonomous differential inclusions}

{\it Michal Fe{\v c}kan}


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ABSTRACT:

The existence of a continuum many chaotic solutions are
shown for certain differential inclusions which are small
non-autonomous multivalued perturbations of ordinary
differential equations possessing homoclinic solutions to
hyperbolic fixed points. Applications are given to dry
friction problems.


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{\it AMS classification (1991): }
34A60, 34C37, 37D45

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{\it Keywords: }
multivalued mappings, differential inclusions, chaotic solutions

