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Approaching the Discrete Dynamical Systems by means of Skew-Evolution Semiflows
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The aim of this paper is to highlight current developments and new trends in the stability theory.
Due to the outstanding role played in the study of stable, instable, and, respectively, central manifolds, the properties of exponential dichotomy and trichotomy for evolution equations represent two domains of the stability theory with an impressive development.
Hence, we intend to construct a framework for an asymptotic approach of these properties for discrete dynamical systems using the associated skew-evolution semiflows.
To this aim, we give definitions and characterizations for the properties of exponential stability and instability, and we extend these techniques to obtain a unified study of the properties of exponential dichotomy and trichotomy.
The results are underlined by several examples.
American Psychological Association (APA)
Stoica, Codruţa. 2016. Approaching the Discrete Dynamical Systems by means of Skew-Evolution Semiflows. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103445
Modern Language Association (MLA)
Stoica, Codruţa. Approaching the Discrete Dynamical Systems by means of Skew-Evolution Semiflows. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1103445
American Medical Association (AMA)
Stoica, Codruţa. Approaching the Discrete Dynamical Systems by means of Skew-Evolution Semiflows. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103445
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103445