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

Ali Oksasoglu, Serdar Ozoguz, Ahmet S. Demirkol, Tayfun Akgul, Qiu-Dong Wang

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number013116
JournalChaos
Volume19
Issue number1
DOIs
StatePublished - 2009

Fingerprint

Chua's Circuit
Chaos theory
Limit Cycle
chaos
Switch
Chaos
switches
Switches
cycles
Networks (circuits)
Concordance
Experimental Investigation
Piecewise Linear
nonlinearity
Nonlinearity
Experimental Results

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Experimental verification of rank 1 chaos in switch-controlled Chua circuit. / Oksasoglu, Ali; Ozoguz, Serdar; Demirkol, Ahmet S.; Akgul, Tayfun; Wang, Qiu-Dong.

In: Chaos, Vol. 19, No. 1, 013116, 2009.

Research output: Contribution to journalArticle

Oksasoglu, A, Ozoguz, S, Demirkol, AS, Akgul, T & Wang, Q-D 2009, 'Experimental verification of rank 1 chaos in switch-controlled Chua circuit', Chaos, vol. 19, no. 1, 013116. https://doi.org/10.1063/1.3073967
Oksasoglu, Ali ; Ozoguz, Serdar ; Demirkol, Ahmet S. ; Akgul, Tayfun ; Wang, Qiu-Dong. / Experimental verification of rank 1 chaos in switch-controlled Chua circuit. In: Chaos. 2009 ; Vol. 19, No. 1.
@article{1fd96318283445f9833f20380de76498,
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 Qiu-Dong Wang",
year = "2009",
doi = "10.1063/1.3073967",
language = "English (US)",
volume = "19",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics Publising LLC",
number = "1",

}

TY - JOUR

T1 - Experimental verification of rank 1 chaos in switch-controlled Chua circuit

AU - Oksasoglu, Ali

AU - Ozoguz, Serdar

AU - Demirkol, Ahmet S.

AU - Akgul, Tayfun

AU - Wang, Qiu-Dong

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.

UR - http://www.scopus.com/inward/record.url?scp=63849223064&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=63849223064&partnerID=8YFLogxK

U2 - 10.1063/1.3073967

DO - 10.1063/1.3073967

M3 - Article

C2 - 19334980

AN - SCOPUS:63849223064

VL - 19

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 1

M1 - 013116

ER -