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Proceedings of the American Mathematical Society

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

 

 

Attractors with positively Lyapunov stable trajectories


Author: Tadeusz Nadzieja
Journal: Proc. Amer. Math. Soc. 86 (1982), 87-90
MSC: Primary 58F12; Secondary 34D20, 54H20, 70K15
DOI: https://doi.org/10.1090/S0002-9939-1982-0663873-2
MathSciNet review: 663873
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Abstract: We show that a finite dimensional attractor in locally connected metric space consisting of positively Lyapunov stable trajectories is a torus.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0663873-2
Keywords: Attractor, turbulence, positively Lyapunov stable trajectory, almost periodic orbit
Article copyright: © Copyright 1982 American Mathematical Society