Chain Recurrences on Conservative Dynamics

• Journal title : Kyungpook mathematical journal
• Volume 54, Issue 2,  2014, pp.165-171
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2014.54.2.165
Title & Authors
Chain Recurrences on Conservative Dynamics
Choy, Jaeyoo; Chu, Hahng-Yun;

Abstract
Let M be a manifold with a volume form $\small{{\omega}}$ and $\small{f:M{\rightarrow}M}$ be a diffeomorphism of class 𝒞$\small{^1}$ that preserves $\small{{\omega}}$. We prove that if M is almost bounded for the diffeomorphism f, then M is chain recurrent. Moreover, we get that Lagrange stable volume-preserving manifolds are also chain recurrent.
Keywords
volume-preserving;chain recurrence;almost unbounded;Lagrange-stable;attractors;
Language
English
Cited by
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