Strange attractors in periodically kicked Chua's circuit

Qiudong Wang; Ali Oksasoglu

doi:10.1142/S0218127405012028

Strange attractors in periodically kicked Chua's circuit

Qiudong Wang, Ali Oksasoglu

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

In this paper, we discuss a new mechanism for chaos in light of some new developments in the theory of dynamical systems. It was shown in [Wang & Young, 2002b] that strange attractors occur when an autonomous system undergoing a generic Hopf bifurcation is subjected to a weak external forcing that is periodically turned on and off. For illustration purposes, we apply these results to the Chua's system. Derivation of conditions for chaos along with the results of numerical simulations are presented.

Original language	English (US)
Pages (from-to)	83-98
Number of pages	16
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	15
Issue number	1
DOIs	https://doi.org/10.1142/S0218127405012028
State	Published - 2005

Keywords

Chua's circuit
Periodic kick
Strange attractors

ASJC Scopus subject areas

Modeling and Simulation
Engineering (miscellaneous)
General
Applied Mathematics

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10.1142/S0218127405012028

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title = "Strange attractors in periodically kicked Chua's circuit",

abstract = "In this paper, we discuss a new mechanism for chaos in light of some new developments in the theory of dynamical systems. It was shown in [Wang & Young, 2002b] that strange attractors occur when an autonomous system undergoing a generic Hopf bifurcation is subjected to a weak external forcing that is periodically turned on and off. For illustration purposes, we apply these results to the Chua's system. Derivation of conditions for chaos along with the results of numerical simulations are presented.",

keywords = "Chua's circuit, Periodic kick, Strange attractors",

author = "Qiudong Wang and Ali Oksasoglu",

note = "Funding Information: ∗This research is partially supported by a grant from NSF. 1In an effort to make this discussion accessible to a broader audience, some of the results discussed in this paper are intentionally formulated in somewhat weaker forms. We would also like to point out that this brief overview is not intended as a survey, and many important mathematical research on this subject is neither mentioned nor referenced here.",

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AU - Wang, Qiudong

AU - Oksasoglu, Ali

N1 - Funding Information: ∗This research is partially supported by a grant from NSF. 1In an effort to make this discussion accessible to a broader audience, some of the results discussed in this paper are intentionally formulated in somewhat weaker forms. We would also like to point out that this brief overview is not intended as a survey, and many important mathematical research on this subject is neither mentioned nor referenced here.

PY - 2005

Y1 - 2005

N2 - In this paper, we discuss a new mechanism for chaos in light of some new developments in the theory of dynamical systems. It was shown in [Wang & Young, 2002b] that strange attractors occur when an autonomous system undergoing a generic Hopf bifurcation is subjected to a weak external forcing that is periodically turned on and off. For illustration purposes, we apply these results to the Chua's system. Derivation of conditions for chaos along with the results of numerical simulations are presented.

AB - In this paper, we discuss a new mechanism for chaos in light of some new developments in the theory of dynamical systems. It was shown in [Wang & Young, 2002b] that strange attractors occur when an autonomous system undergoing a generic Hopf bifurcation is subjected to a weak external forcing that is periodically turned on and off. For illustration purposes, we apply these results to the Chua's system. Derivation of conditions for chaos along with the results of numerical simulations are presented.

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KW - Strange attractors

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Strange attractors in periodically kicked Chua's circuit

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Keywords

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