Research PapersNo Access

SYNCHRONIZATION OF CROSS-WELL CHAOS IN COUPLED DUFFING OSCILLATORS

U. E. VINCENT

Department of Physics, University of Agriculture, Abeokuta, Nigeria

Corresponding author. Present address: Department of Physics and Solar Energy, Bowen University, Iwo, Nigeria.

Search for more papers by this author

A. N. NJAH

Department of Physics, University of Agriculture, Abeokuta, Nigeria

Search for more papers by this author

O. AKINLADE

Department of Physics, University of Agriculture, Abeokuta, Nigeria

Search for more papers by this author

, and

A. R. T. SOLARIN

Department of Mathematical Sciences, University of Agriculture, Abeokuta, Nigeria

Search for more papers by this author

https://doi.org/10.1142/S0217979205032085Cited by:15 (Source: Crossref)

Abstract

Numerical simulations have been used to investigate the synchronization behavior of a unidirectionally coupled pair of double-well duffing oscillators (DDOs). The DDOs were simulated in their structurally stable chaotic zone and their state variables were found to completely synchronized. The essential feature of the transition to the synchronous state is shown to correspond to a boundary crisis in which the cross-well chaotic attractor is destroyed.

Keywords:

PACS: 05.45.Pq, 05.45.Xt, 05.45.+b

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

A. Pikovsky , M. Rosenblum and J. Kurths , Synchronization: A Universal Concept in Nonlinear Science ( Cambridge University Press , New York , 2001 ) . Crossref, Google Scholar
L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990). Crossref, Web of Science, ADS, Google Scholar
H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983). Crossref, Web of Science, ADS, Google Scholar
M. Zhanet al., Phys. Rev. E68, 036208 (2003). Google Scholar
N. F. Rulkovet al., Phys. Rev. E51, 98 (1995). Google Scholar
M. G. Rosenblum, A. S. Pikovsky and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996). Crossref, Web of Science, Google Scholar
M. G. Rosenblum, A. S. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997). Crossref, Web of Science, ADS, Google Scholar
H. U. Voss, Phys. Rev. E61, 5115 (2000). ADS, Google Scholar
H. U. Voss, Phys. Rev. Lett. 87, 014102 (2001). Crossref, Web of Science, Google Scholar
A. Hampton and H. D. Zanette, Phys. Rev. Lett. 83, 2179 (1999). Crossref, Web of Science, ADS, Google Scholar
X. Wanget al., Int. J. Bifurcation and Chaos 12, 1143 (2002). Google Scholar
X. Wang and M. Zhan, Phys. Rev. E67, 066215 (2003). Google Scholar
S. Taherion and Y. C. Lai, Int. J. Bifurcation and Chaos Appl. Sci. Eng. 11, 2587 (2000). Link, Web of Science, Google Scholar
E. Allariaet al., Phys. Rev. Lett. 86, 787 (2001). Web of Science, Google Scholar
C. M. Ticoset al., Phys. Rev. Lett. 85, 2929 (2000). Crossref, Web of Science, Google Scholar
A. A Stefanovskaet al., Phys. Rev. Lett. 85, 4831 (2000). Crossref, Web of Science, ADS, Google Scholar
V. S. Anishchenkoet al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 2339 (2001). Link, Web of Science, Google Scholar
P. Tasset al., Phys. Rev. Lett. 81, 3291 (1998). Crossref, Web of Science, ADS, Google Scholar
A. B. Neimanet al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 2499 (2000). Link, Web of Science, Google Scholar
M. Paluset al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 2519 (2000). Link, Web of Science, Google Scholar
H.-W. Yin, Y.-H. Dai and H.-J. Zhang, Phys. Rev. E58, 5683 (1998). ADS, Google Scholar
S. P. Raj, S. Rajaseker and K. Murali, Phys. Lett. A264, 283 (1999). ADS, Google Scholar
M. Lakshmana and K. Murali , Chaos in Nonlinear Oscillators ( World Scientific , Singapore , 1996 ) . Crossref, Google Scholar
J. J. Stoker , Nonlinear Vibrations in Mechanical and Electrical Systems ( Interscience Publishers , New York , 1950 ) . Google Scholar
J. Guckenheimer and P. J. Holmes , Nonlinear Oscillations, Dynamical systems, and Bifurcation of Vector Fields ( Springer-Verlag , New York , 1983 ) . Crossref, Google Scholar
B. K. Jones and G. Trefan, Am. J. Phys. 69, 464 (2001). Crossref, Web of Science, ADS, Google Scholar
W. Szemplinska-Stupnicka and E. Tyrkiel, Nonlinear Dynamics 27, 271 (2002). Crossref, Web of Science, Google Scholar
D. J. Gauthier and J. C. Bienfang, Phys. Rev. Lett. 77, 1751 (1996). Crossref, Web of Science, ADS, Google Scholar
G. L. Baker, J. A. Blackburn and H. J. T. Smith, Phys. Rev. Lett. 81, 554 (1998). Crossref, Web of Science, ADS, Google Scholar
G. L. Baker, J. A. Blackburn and H. J. T. Smith, Phys. Lett. A252, 191 (1999). ADS, Google Scholar
H. E. Nusse and J. A. Yorke , Dynamics: Numerical Exploration ( Springer-Verlag , 1998 ) . Crossref, Google Scholar
E. Ott , Chaos in Dynamical Systems ( Cambridge University Press , Cambridge , 2002 ) . Crossref, Google Scholar