Li-Yorke chaos in a spatiotemporal chaotic system

Ping Li; Zhong Li; Wolfgang A. Halang; Guanrong Chen

doi:10.1142/9789812774118_0022

Li-Yorke chaos in a spatiotemporal chaotic system

Ping Li
, Zhong Li
, Wolfgang A. Halang
, Guanrong Chen

Department of Electrical Engineering

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

This paper presents a rigorous proof to the existence of chaos in the sense of Li-Yorke in a spatiotemporal chaotic system, i.e., a coupled map lattice. An explicit formula for choosing parameters of the coupled map lattice to guarantee its chaos is derived. It therefore lays a theoretical foundation for further study and exploitation of this spatiotemporal chaotic system. Simulation shows the correctness of the theoretical investigation.

Original language	English
Title of host publication	Applied Artificial Intelligence - Proceedings of the 7th International FLINS Conference, FLINS 2006
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	130-137
ISBN (Electronic)	978-981-4478-47-2
ISBN (Print)	978-981-256-690-4
DOIs	https://doi.org/10.1142/9789812774118_0022
Publication status	Published - Aug 2006
Event	Applied Artificial Intelligence - 7th International Fuzzy Logic and Intelligent Technologies in Nuclear Science Conference, FLINS 2006 - Genova, Italy Duration: 29 Aug 2006 → 31 Aug 2006

Conference

Conference	Applied Artificial Intelligence - 7th International Fuzzy Logic and Intelligent Technologies in Nuclear Science Conference, FLINS 2006
Place	Italy
City	Genova
Period	29/08/06 → 31/08/06

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@inproceedings{879a10db1c2a4ba0a970b27526ae2ffb,

title = "Li-Yorke chaos in a spatiotemporal chaotic system",

abstract = "This paper presents a rigorous proof to the existence of chaos in the sense of Li-Yorke in a spatiotemporal chaotic system, i.e., a coupled map lattice. An explicit formula for choosing parameters of the coupled map lattice to guarantee its chaos is derived. It therefore lays a theoretical foundation for further study and exploitation of this spatiotemporal chaotic system. Simulation shows the correctness of the theoretical investigation.",

author = "Ping Li and Zhong Li and Halang, \{Wolfgang A.\} and Guanrong Chen",

year = "2006",

month = aug,

doi = "10.1142/9789812774118\_0022",

language = "English",

isbn = "978-981-256-690-4 ",

pages = "130--137",

booktitle = "Applied Artificial Intelligence - Proceedings of the 7th International FLINS Conference, FLINS 2006",

publisher = "World Scientific Publishing Co. Pte Ltd",

address = "Singapore",

note = "Applied Artificial Intelligence - 7th International Fuzzy Logic and Intelligent Technologies in Nuclear Science Conference, FLINS 2006 ; Conference date: 29-08-2006 Through 31-08-2006",

}

Li, P, Li, Z, Halang, WA & Chen, G 2006, Li-Yorke chaos in a spatiotemporal chaotic system. in Applied Artificial Intelligence - Proceedings of the 7th International FLINS Conference, FLINS 2006. World Scientific Publishing Co. Pte Ltd, pp. 130-137, Applied Artificial Intelligence - 7th International Fuzzy Logic and Intelligent Technologies in Nuclear Science Conference, FLINS 2006, Genova, Italy, 29/08/06. https://doi.org/10.1142/9789812774118_0022

Li-Yorke chaos in a spatiotemporal chaotic system. / Li, Ping; Li, Zhong; Halang, Wolfgang A. et al.
Applied Artificial Intelligence - Proceedings of the 7th International FLINS Conference, FLINS 2006. World Scientific Publishing Co. Pte Ltd, 2006. p. 130-137.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Li-Yorke chaos in a spatiotemporal chaotic system

AU - Li, Ping

AU - Li, Zhong

AU - Halang, Wolfgang A.

AU - Chen, Guanrong

PY - 2006/8

Y1 - 2006/8

N2 - This paper presents a rigorous proof to the existence of chaos in the sense of Li-Yorke in a spatiotemporal chaotic system, i.e., a coupled map lattice. An explicit formula for choosing parameters of the coupled map lattice to guarantee its chaos is derived. It therefore lays a theoretical foundation for further study and exploitation of this spatiotemporal chaotic system. Simulation shows the correctness of the theoretical investigation.

AB - This paper presents a rigorous proof to the existence of chaos in the sense of Li-Yorke in a spatiotemporal chaotic system, i.e., a coupled map lattice. An explicit formula for choosing parameters of the coupled map lattice to guarantee its chaos is derived. It therefore lays a theoretical foundation for further study and exploitation of this spatiotemporal chaotic system. Simulation shows the correctness of the theoretical investigation.

UR - https://www.scopus.com/pages/publications/85036468846

UR - https://www.scopus.com/pages/publications/85036468846#tab=impact

U2 - 10.1142/9789812774118_0022

DO - 10.1142/9789812774118_0022

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 978-981-256-690-4

SP - 130

EP - 137

BT - Applied Artificial Intelligence - Proceedings of the 7th International FLINS Conference, FLINS 2006

PB - World Scientific Publishing Co. Pte Ltd

T2 - Applied Artificial Intelligence - 7th International Fuzzy Logic and Intelligent Technologies in Nuclear Science Conference, FLINS 2006

Y2 - 29 August 2006 through 31 August 2006

ER -

Li-Yorke chaos in a spatiotemporal chaotic system

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