Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
MathSciNet review: 0296447
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)

  • [1] Roger C. McCann, Local sections of perturbed local dynamical systems, J. Differential Equations 10 (1971), 336–344. MR 0288746
  • [2] Otomar Hájek, Dynamical systems in the plane, Academic Press, London-New York, 1968. MR 0240418
  • [3] J. Auslander and P. Seibert, Prolongations and stability in dynamical systems, Ann. Inst. Fourier (Grenoble) 14 (1964), no. fasc. 2, 237–267. MR 0176180
  • [4] Nam P. Bhatia, Dynamical systems, Mathematical systems theory and economics, I, II (Proc. Internat. Summer School, Varenna, 1967) Springer, Berlin, 1969, pp. 1–9. Lecture Notes in Operations Research and Mathematical Economics, Vols. 11, 12. MR 0324143

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34C40

Retrieve articles in all journals with MSC: 34C40


Additional Information

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