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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Perturbed asymptotically stable sets


Author: Roger C. McCann
Journal: Proc. Amer. Math. Soc. 35 (1972), 107-111
MSC: Primary 34C40
DOI: https://doi.org/10.1090/S0002-9939-1972-0296447-X
MathSciNet review: 0296447
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Abstract: Perturbations of a dynamical system are defined and the behavior of compact asymptotically stable sets under these perturbations is determined. The occurrence of critical points in a perturbed planar dynamical system is also investigated.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0296447-X
Keywords: Dynamical systems, perturbation asymptotic stability, stable critical point
Article copyright: © Copyright 1972 American Mathematical Society