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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the iterations of diffeomorphisms without $C^{0}-\Omega$-explosions: an example
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by Ken Sawada
Proc. Amer. Math. Soc. 79 (1980), 110-112
DOI: https://doi.org/10.1090/S0002-9939-1980-0560595-1
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Abstract:

In this note we construct a diffeomorphism f such that f has no ${C^0}{\text {-}}\Omega$-explosion but ${f^2}$ has $\Omega$-explosion.
References
    C. Conley, The gradient structure of flow. I, IBM research, RC 3932 (#17806), Yorktown Heights, New York, July 17, 1972.
  • Michael Shub, Stabilité globale des systèmes dynamiques, Astérisque, vol. 56, Société Mathématique de France, Paris, 1978 (French). With an English preface and summary. MR 513592
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Bibliographic Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 110-112
  • MSC: Primary 58F30; Secondary 28D10
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0560595-1
  • MathSciNet review: 560595