Chaotic solutions in differential inclusions: chaos in dry friction problems-Reference-Cited by-同舟云学术

Chaotic solutions in differential inclusions: chaos in dry friction problems

Published:1999-03-01 Issue:7 Volume:351 Page:2861-2873
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Fečkan Michal

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-07/S0002-9947-99-02181-9/S0002-9947-99-02181-9.pdf

Reference12 articles.

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2. J.P. Den Hartog, “Mechanische Schwingungen”, 2nd ed., Springer–Verlag, Berlin, 1952.

3. M. Fečkan, Bifurcation from homoclinic to periodic solutions in ordinary differential equations with multivalued perturbations, J. Differential Equations 130 (1996), 415-450.

4. M. Fečkan, Bifurcation from homoclinic to periodic solutions in singularly perturbed differential inclusions, Proc. Royal Soc. Edinburgh 127A (1997), 727-753.

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