Proceedings of the American Mathematical Society

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

 

 

On the iterations of diffeomorphisms without $ C\sp{0}-\Omega $-explosions: an example


Author: Ken Sawada
Journal: Proc. Amer. Math. Soc. 79 (1980), 110-112
MSC: Primary 58F30; Secondary 28D10
MathSciNet review: 560595
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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 [Enhancements On Off] (What's this?)

  • [1] C. Conley, The gradient structure of flow. I, IBM research, RC 3932 (#17806), Yorktown Heights, New York, July 17, 1972.
  • [2] 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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0560595-1
Keywords: Diffeomorphisms, no $ {C^0}{\text{-}}\Omega $-explosion
Article copyright: © Copyright 1980 American Mathematical Society