Directing orbits of chaotic dynamical systems based on simplex-annealing strategy

Ling Lai Li; Fang Tang; Ling Wang

doi:10.1109/ICNNSP.2003.1279383

Directing orbits of chaotic dynamical systems based on simplex-annealing strategy

Ling Lai Li^*
, Fang Tang
, Ling Wang

^*Corresponding author for this work

School of Physics

Tsinghua University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

Control of chaotic systems has attracted increased interests recently. This paper proposes a new simplex-annealing strategy, which is highly effective on the optimization of high dimensional functions, to direct the orbits of discrete chaotic dynamical systems towards desired target region within a short time by applying only small bounded perturbations. The synchronization of chaotic systems is also considered, which can be dealt with as a problem of directing orbits. The numerical-simulations on Hénon Map demonstrate the effectiveness of the proposed strategy.

Original language	English
Title of host publication	Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03
Pages	748-750
Number of pages	3
DOIs	https://doi.org/10.1109/ICNNSP.2003.1279383
State	Published - 2003
Event	2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03 - Nanjing, China Duration: 14 Dec 2003 → 17 Dec 2003

Publication series

Name	Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03
Volume	1

Conference

Conference	2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03
Country/Territory	China
City	Nanjing
Period	14/12/03 → 17/12/03

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10.1109/ICNNSP.2003.1279383

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Li, L. L., Tang, F., & Wang, L. (2003). Directing orbits of chaotic dynamical systems based on simplex-annealing strategy. In Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03 (pp. 748-750). Article 1279383 (Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03; Vol. 1). https://doi.org/10.1109/ICNNSP.2003.1279383

@inproceedings{ff73bed4e3bd4b46a7c28cc41432d61b,

title = "Directing orbits of chaotic dynamical systems based on simplex-annealing strategy",

abstract = "Control of chaotic systems has attracted increased interests recently. This paper proposes a new simplex-annealing strategy, which is highly effective on the optimization of high dimensional functions, to direct the orbits of discrete chaotic dynamical systems towards desired target region within a short time by applying only small bounded perturbations. The synchronization of chaotic systems is also considered, which can be dealt with as a problem of directing orbits. The numerical-simulations on H{\'e}non Map demonstrate the effectiveness of the proposed strategy.",

author = "Li, \{Ling Lai\} and Fang Tang and Ling Wang",

year = "2003",

doi = "10.1109/ICNNSP.2003.1279383",

language = "英语",

isbn = "0780377028",

series = "Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03",

pages = "748--750",

booktitle = "Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03",

note = "2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03 ; Conference date: 14-12-2003 Through 17-12-2003",

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Li, LL, Tang, F & Wang, L 2003, Directing orbits of chaotic dynamical systems based on simplex-annealing strategy. in Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03., 1279383, Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03, vol. 1, pp. 748-750, 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03, Nanjing, China, 14/12/03. https://doi.org/10.1109/ICNNSP.2003.1279383

Directing orbits of chaotic dynamical systems based on simplex-annealing strategy. / Li, Ling Lai; Tang, Fang; Wang, Ling.
Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03. 2003. p. 748-750 1279383 (Proceedings of 2003 International Conference on Neural Networks and Signal Processing, ICNNSP'03; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Li, Ling Lai

AU - Tang, Fang

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AB - Control of chaotic systems has attracted increased interests recently. This paper proposes a new simplex-annealing strategy, which is highly effective on the optimization of high dimensional functions, to direct the orbits of discrete chaotic dynamical systems towards desired target region within a short time by applying only small bounded perturbations. The synchronization of chaotic systems is also considered, which can be dealt with as a problem of directing orbits. The numerical-simulations on Hénon Map demonstrate the effectiveness of the proposed strategy.

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Y2 - 14 December 2003 through 17 December 2003

ER -

Directing orbits of chaotic dynamical systems based on simplex-annealing strategy

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