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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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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