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Your search keyword '"*SHADOWING theorem (Mathematics)"' showing total 2 results
Start Over Descriptor "*SHADOWING theorem (Mathematics)" Topic 37c50 Topic dynamical systems
2 results on '"*SHADOWING theorem (Mathematics)"'

1. Continuous semi-flows with the almost average shadowing property.

Author

Garg, Mukta and Das, Ruchi

Subjects
*SHADOWING theorem (Mathematics), *CHAOS theory, *SOLITONS, *DYNAMICAL systems, *FRACTALS, *MATHEMATICAL models
Abstract

In this article, we introduce the notion of almost average shadowing property (ALASP) for continuous semi-flows and study its properties. We give a class of continuous semi-flows possessing the ALASP. We also investigate the relationship of the ALASP with various known dynamical properties for continuous semi-flows, for instance, topological transitivity, weak mixing, strong ergodicity, equicontinuity, sensitivity, Li-Yorke chaos and Takens and Ruelle chaos. [ABSTRACT FROM AUTHOR]

Published
2017
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2. Robustly chain transitive sets with orbital shadowing diffeomorphisms.

Author

Lee, Manseob

Subjects
*DIFFEOMORPHISMS, *SET theory, *SHADOWING theorem (Mathematics), *DYNAMICAL systems, *HYPERBOLIC differential equations, *MANIFOLDS (Mathematics)
Abstract

Let f be a diffeomorphism of a closed C ∞ manifold M, and let Λ ⊂ M be a closed f-invariant set. We show that if f |Λ is robustly chain transitive with orbital shadowing property, then Λ is a basic set. [ABSTRACT FROM PUBLISHER]

Published
2012
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