Multiscroll in coupled double scroll type oscillators

Syamal Kumar Dana, Brajendra K. Singh, Satyabrata Chakraborty, Ram Chandra Yadav, Juergen Kurths, Gregory V. Osipov, Prodyot Kumar Roy, Chin-Kun Hu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A unidirectional coupling scheme is investigated in double scroll type chaotic oscillators that reveal interesting multiscroll dynamics. Instead of using self-oscillatory systems, in this scheme, double scroll chaos from one oscillator is forced into another similar oscillator in a resting state. This coupling scheme is explored in the Chua oscillator, a modified Chua oscillator and the Lorenz oscillator. We have modified the Chua oscillator by simply changing its piecewise linear function slightly, thereby deriving a new 3-scroll attractor. We have observed 4-scroll, 6-scroll attractors in the driven Chua oscillator and the modified Chua oscillator respectively in an intermittency regime of weaker coupling. We have extended the coupling scheme to the Lorenz system when even more interesting multiscroll dynamics (3-, 4-, 5-, 6-scroll) is observed with decreasing coupling strength. It appears as if a hidden multiscroll structure unfolds with weakening coupling interactions. One after another, additional scrolls appear in the driven Lorenz system when the coupling strength is gradually decreased in the weaker coupling regime. The origin of such multiscroll dynamics is explained using eigenvalue analysis and a bifurcation diagram. A schematic diagram of the multiscroll trajectories is presented to further elucidate the evolution of the scrolls. Experimental evidence is also presented using the Chua circuit and an electronic analog of the Lorenz system.

Original languageEnglish
Pages (from-to)2965-2980
Number of pages16
JournalInternational Journal of Bifurcation and Chaos
Volume18
Issue number10
DOIs
Publication statusPublished - Oct 2008

Keywords

  • Multiscroll dynamics
  • Chua oscillator
  • electronic circuits

Cite this

Dana, S. K., Singh, B. K., Chakraborty, S., Yadav, R. C., Kurths, J., Osipov, G. V., ... Hu, C-K. (2008). Multiscroll in coupled double scroll type oscillators. International Journal of Bifurcation and Chaos, 18(10), 2965-2980. https://doi.org/10.1142/S0218127408022196

Multiscroll in coupled double scroll type oscillators. / Dana, Syamal Kumar; Singh, Brajendra K.; Chakraborty, Satyabrata; Yadav, Ram Chandra; Kurths, Juergen; Osipov, Gregory V.; Roy, Prodyot Kumar; Hu, Chin-Kun.

In: International Journal of Bifurcation and Chaos, Vol. 18, No. 10, 10.2008, p. 2965-2980.

Research output: Contribution to journalArticle

Dana, SK, Singh, BK, Chakraborty, S, Yadav, RC, Kurths, J, Osipov, GV, Roy, PK & Hu, C-K 2008, 'Multiscroll in coupled double scroll type oscillators', International Journal of Bifurcation and Chaos, vol. 18, no. 10, pp. 2965-2980. https://doi.org/10.1142/S0218127408022196
Dana SK, Singh BK, Chakraborty S, Yadav RC, Kurths J, Osipov GV et al. Multiscroll in coupled double scroll type oscillators. International Journal of Bifurcation and Chaos. 2008 Oct;18(10):2965-2980. https://doi.org/10.1142/S0218127408022196
Dana, Syamal Kumar ; Singh, Brajendra K. ; Chakraborty, Satyabrata ; Yadav, Ram Chandra ; Kurths, Juergen ; Osipov, Gregory V. ; Roy, Prodyot Kumar ; Hu, Chin-Kun. / Multiscroll in coupled double scroll type oscillators. In: International Journal of Bifurcation and Chaos. 2008 ; Vol. 18, No. 10. pp. 2965-2980.
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