A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-14
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We first study how to make use of the Marotto theory to prove rigorously the existence of the Li-Yorke chaos in diffusively coupled map lattices with open boundary conditions (i.e., a high-dimensional discrete dynamical system).
Then, the recent 0-1 test for chaos is applied to confirm our theoretical claim.
In addition, we control the chaotic motions to a fixed point with delay feedback method.
Numerical results support the theoretical analysis.
American Psychological Association (APA)
Yuan, Li-Guo& Yang, Qi-Gui. 2011. A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-451843
Modern Language Association (MLA)
Yuan, Li-Guo& Yang, Qi-Gui. A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-451843
American Medical Association (AMA)
Yuan, Li-Guo& Yang, Qi-Gui. A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-451843
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451843
