Nonstandard analysis of dynamical systems. I. Limit motions, stability.
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- by A. E. Hurd PDF
- Trans. Amer. Math. Soc. 160 (1971), 1-26 Request permission
Abstract:
The methods of nonstandard analysis are applied to the study of the qualitative theory of dynamical systems. The nonstandard notions connected with limiting behavior of motions (limit sets, etc.) are developed, and then applied to the study of stability theory, including stability of sets, attracting properties, first prolongations and stability of motions.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 160 (1971), 1-26
- MSC: Primary 34.65
- DOI: https://doi.org/10.1090/S0002-9947-1971-0280827-6
- MathSciNet review: 0280827