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Some properties of chain recurrent sets in a nonautonomous discrete dynamical system
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Dhaval Thakkar
Published/Copyright:
June 20, 2015
Abstract
In this paper, we define chain recurrence and study properties of chain recurrent sets in a nonautonomous discrete dynamical system induced by a sequence of homeomorphisms on a compact metric space. We also study chain recurrent sets in a nonautonomous discrete system having shadowing property.
Keywords: Nonwandering set; chain recurrent sets; nonautonomous discrete dynamical systems; expansiveness; shadowing property (P.O.T.P.)
Funding source: UGC
Award Identifier / Grant number: F.N. 42–25/2013(SR)
The authors are grateful to the referee for carefully reading the paper and for providing valuable suggestions.
Received: 2014-7-2
Revised: 2015-5-20
Accepted: 2015-6-6
Published Online: 2015-6-20
Published in Print: 2015-7-1
© 2015 by De Gruyter
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- Frontmatter
- Variations on a theorem of Beurling
- Dunkl harmonic analysis and fundamental sets of continuous functions on the unit sphere
- Boundary behavior of Green function for a parabolic equation in bounded domain
- On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
- Some properties of chain recurrent sets in a nonautonomous discrete dynamical system
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Keywords for this article
Nonwandering set;
chain recurrent sets;
nonautonomous discrete dynamical systems;
expansiveness;
shadowing property (P.O.T.P.)
Articles in the same Issue
- Frontmatter
- Variations on a theorem of Beurling
- Dunkl harmonic analysis and fundamental sets of continuous functions on the unit sphere
- Boundary behavior of Green function for a parabolic equation in bounded domain
- On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
- Some properties of chain recurrent sets in a nonautonomous discrete dynamical system
- A joint generalization of Van Vleck's and Kannappan's equations on groups
