Perturbed asymptotically stable sets
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- by Roger C. McCann PDF
- Proc. Amer. Math. Soc. 35 (1972), 107-111 Request permission
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
- Roger C. McCann, Local sections of perturbed local dynamical systems, J. Differential Equations 10 (1971), 336–344. MR 288746, DOI 10.1016/0022-0396(71)90056-8
- Otomar Hájek, Dynamical systems in the plane, Academic Press, London-New York, 1968. MR 0240418
- J. Auslander and P. Seibert, Prolongations and stability in dynamical systems, Ann. Inst. Fourier (Grenoble) 14 (1964), no. fasc. 2, 237–267. MR 176180
- Nam P. Bhatia, Dynamical systems, Mathematical systems theory and economics, I, II (Proc. Internat. Summer School, Varenna, 1967) Lecture Notes in Operations Research and Mathematical Economics, Vols. 11, vol. 12, Springer, Berlin, 1969, pp. 1–9. MR 0324143
Additional Information
- © Copyright 1972 American Mathematical Society
- 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