Experimental verification of rank 1 chaos in switch-controlled Chua circuit

Ali Oksasoglu; Serdar Ozoguz; Ahmet S. Demirkol; Tayfun Akgul; Qiudong Wang

doi:10.1063/1.3073967

Experimental verification of rank 1 chaos in switch-controlled Chua circuit

Ali Oksasoglu, Serdar Ozoguz, Ahmet S. Demirkol, Tayfun Akgul, Qiudong Wang

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

1 Scopus citations

Abstract

In this paper, we provide the first experimental proof for the existence of rank 1 chaos in the switch-controlled Chua circuit by following a step-by-step procedure given by the theory of rank 1 maps. At the center of this procedure is a periodically kicked limit cycle obtained from the unforced system. Then, this limit cycle is subjected to periodic kicks by adding externally controlled switches to the original circuit. Both the smooth nonlinearity and the piecewise linear cases are considered in this experimental investigation. Experimental results are found to be in concordance with the conclusions of the theory.

Original language	English (US)
Article number	013116
Journal	Chaos
Volume	19
Issue number	1
DOIs	https://doi.org/10.1063/1.3073967
State	Published - 2009

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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title = "Experimental verification of rank 1 chaos in switch-controlled Chua circuit",

abstract = "In this paper, we provide the first experimental proof for the existence of rank 1 chaos in the switch-controlled Chua circuit by following a step-by-step procedure given by the theory of rank 1 maps. At the center of this procedure is a periodically kicked limit cycle obtained from the unforced system. Then, this limit cycle is subjected to periodic kicks by adding externally controlled switches to the original circuit. Both the smooth nonlinearity and the piecewise linear cases are considered in this experimental investigation. Experimental results are found to be in concordance with the conclusions of the theory.",

author = "Ali Oksasoglu and Serdar Ozoguz and Demirkol, {Ahmet S.} and Tayfun Akgul and Qiudong Wang",

note = "Funding Information: This project was partially supported by The Scientific and Technological Research Council of Turkey (TUBITAK) under Grant No. 106E093.",

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AU - Oksasoglu, Ali

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AU - Demirkol, Ahmet S.

AU - Akgul, Tayfun

AU - Wang, Qiudong

N1 - Funding Information: This project was partially supported by The Scientific and Technological Research Council of Turkey (TUBITAK) under Grant No. 106E093.

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AB - In this paper, we provide the first experimental proof for the existence of rank 1 chaos in the switch-controlled Chua circuit by following a step-by-step procedure given by the theory of rank 1 maps. At the center of this procedure is a periodically kicked limit cycle obtained from the unforced system. Then, this limit cycle is subjected to periodic kicks by adding externally controlled switches to the original circuit. Both the smooth nonlinearity and the piecewise linear cases are considered in this experimental investigation. Experimental results are found to be in concordance with the conclusions of the theory.

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Experimental verification of rank 1 chaos in switch-controlled Chua circuit

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