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

^*Corresponding author for this work

Department of Electronics and Communication Engineering

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

1 Citation (Scopus)

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
Article number	013116
Journal	Chaos
Volume	19
Issue number	1
DOIs	https://doi.org/10.1063/1.3073967
Publication status	Published - 2009

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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",

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AU - Oksasoglu, Ali

AU - Ozoguz, Serdar

AU - Demirkol, Ahmet S.

AU - Akgul, Tayfun

AU - Wang, Qiudong

PY - 2009

Y1 - 2009

N2 - 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.

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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