Collective dynamics induced by diversity taken from two-point distribution in globally coupled chaotic oscillators

Nonlinear Dynamics

Volumn 75, Issue 1-2, 2014, Pages 17-26

  Yao, Chenggui ^a   Zhao, Qi ^b   Liu, Weiqing ^c   Yu, Jun ^a  

^a SHAOXING UNIVERSITY   (China)

^b LIAONING UNIVERSITY   (China)

^c JIANGXI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Chaotic oscillator; Diversity; Parameter mismatch; Two point distribution

Indexed keywords

CHAOTIC OSCILLATORS; COLLECTIVE DYNAMICS; COUPLED CHAOTIC OSCILLATORS; DIVERSITY; DYNAMICAL PHENOMENA; EFFECT OF PARAMETERS; PARAMETER MISMATCHES; TWO-POINT;

CHAOTIC SYSTEMS; CIRCUIT OSCILLATIONS;

PROBABILITY DISTRIBUTIONS;

EID: 84891555680     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-013-1045-y     Document Type: Article

References (30)

1. Winfree, A.T.: The Geometry of Biological Time. Springer, New York (1980)
2. Kuramoto, Y.: Chemical Oscillations, Waves, and Turbulence. Springer, Berlin (1984)
3. Pikovsky, A.; Rosenblum, M.; Kurths, J.: Synchronization: A Universal Concept in Nonlinear Dynamics. Cambridge University Press, Cambridge (2001)
4. Murray, J.D.: Mathematical Biology. Springer, Berlin (2003)
5. Niu, B.; Wang, H.B.: Multiple bifurcation analysis in a ring of delay coupled oscillators with neutral feedback. Nonlinear Dyn. 73, 1475-1492 (2013)
6. Guo, Y.X.; Jiang, W.H.; Niu, B.: Multiple scales and normal forms in a ring of delay coupled oscillators with application to chaotic Hindmarsh-Rose neurons. Nonlinear Dyn. 71, 515-529 (2013)
7. Edelman, N.K.; Gendelman, O.V.: Dynamics of self-excited oscillators with neutral delay coupling. Nonlinear Dyn. 72, 683-694 (2013)
8. Braimain, Y.; Lindner, J.F.; Ditto, W.L.: Taming spatiotemporal chaos with disorder. Nature 378, 465-467 (1995)
9. Lindner, J.F.; Prusha, B.S.; Clay, K.E.: Optimal disorders for taming spatiotemporal chaos. Phys. Lett. A 231, 164-172 (1997)
10. Qi, F.; Hou, Z.H.; Xin, H.W.: New characterization of disorder taming spatiotemporal chaos. Phys. Lett. A 308, 405-410 (2003)
11. Brandt, S.F.; Dellen, B.K.; Wessel, R.: Synchronization from disordered driving forces in arrays of coupled oscillators. Phys. Rev. Lett. 96, 034104 (2006)
12. Yao, C.G.; Zhao, Q.; Yu, J.: Complete synchronization induced by disorder in coupled chaotic lattices. Phys. Lett. A 377, 370-377 (2013)
13. Tessone, C.J.; Mirasso, C.R.; Toral, R.; Gunton, J.D.: Diversity-induced resonance. Phys. Rev. Lett. 97, 194101 (2006)
14. Yao, C.G.; Zhan, M.: Simple electronic circuit model for diversity-induced resonance. Phys. Lett. A 374, 2446-2451 (2010)
15. Toral, R.; Tessone, C.J.; Lopes, J.V.: Collective effects induced by diversity in extended systems. Eur. Phys. J. Spec. Top. 143, 59-67 (2007)
16. Mirollo, R.E.; Stogatz, S.H.: Amplitude death in an array of limit-cycle oscillators. J. Stat. Phys. 60, 245-262 (1990)
17. Aronson, D.G.; Ermentrout, G.B.; Kopell, N.: Amplitude response of coupled oscillators. Physica D 41, 403-449 (1990)
18. Rubchinsky, L.; Sushchik, M.: Disorder can eliminate oscillator death. Phys. Rev. E 62, 6440 (2000)
19. Hou, Z.H.; Xin, H.W.: Oscillator death on small-world networks. Phys. Rev. E 68, 055103 (2003)
20. Yao, C.G.; Zou, W.; Zhao, Q.: The study of amplitude death in globally delay-coupled nonidentical systems based on order parameter expansion. Chaos 22, 023149 (2012)
21. Liu, W.; Xiao, J.; Li, L.; Wu, Y.; Lu, M.: Effects of gradient coupling on amplitude death in nonidentical oscillators. Nonlinear Dyn. 69, 1041-1050 (2012)
22. Huang, J.; Li, C.; Huang, T.; Han, Q.: Lag quasisynchronization of coupled delayed systems with parameter mismatch by periodically intermittent control. Nonlinear Dyn. 71, 469-478 (2013)
23. Wu, Y.; Liu, W.; Xiao, J.; Zou, W.; Kurths, J.: Effects of spatial frequency distributions on amplitude death in an array of coupled Landau-Stuart oscillators. Phys. Rev. E 85, 056211 (2012)
24. Liu, W.; Volkov, E.; Xiao, J.; Zou, W.; Zhan, M.; Yang, J.: Inhomogeneous stationary and oscillatory regimes in coupled chaotic oscillators. Chaos 22, 033144 (2012)
25. Liu, W.; Wang, X.; Guan, S.; Lai, C.: Transition to amplitude death in scale-free networks. New J. Phys. 11, 093016 (2009)
26. Li, B.; Fu, C.; Zhang, H.; Wang, X.: Synchronization and quorum sensing in an ensemble of indirectly coupled chaotic oscillators. Phys. Rev. E 86, 046207 (2012)
27. Daido, H.; Nakanishi, K.: Aging Transition and universal scaling in oscillator networks. Phys. Rev. Lett. 93, 104101 (2004)
28. Pazó, D.; Montbrió, E.: Universal behavior in populations composed of excitable and self-oscillatory elements. Phys. Rev. E 73, 055202 (2006)
29. Bernard, S.; Gonze, D.; Cjavec, B.; Herzel, H.; Kramer, A.: Synchronization-induced rhythmicity of circadian oscillators in the suprachiasmatic nucleus. PLoS Comput. Biol. 3, e68 (2007)
30. Tanaka, G.; Okada, Y.; Aihara, K.: Phase transitions in mixed populations composed of two types of self-oscillatory elements with different periods. Phys. Rev. E 82, 035202 (2010)