Bifurcation analysis of noise-induced synchronization

International Journal of Innovative Computing, Information and Control

Volumn 5, Issue 9, 2009, Pages 2809-2818

  Yoshida, Katsutoshi ^a   Nishizawa, Yusuke ^b  

^a UTSUNOMIYA UNIVERSITY   (Japan)

^b ShinMaywa Industries Ltd   (Japan)

Author keywords

Bifurcation; Noise; Statistical equivalent approach; Synchronization

Indexed keywords

BIFURCATION; BIFURCATION ANALYSIS; BIFURCATION PHENOMENA; FAST CONVERGENCE; NOISE; NOISE-INDUCED SYNCHRONIZATION; NUMERICAL CONTINUATION; PRIMARY RESONANCE; SADDLE NODE BIFURCATION; STATISTICAL EQUIVALENT APPROACH; SYNCHRONIZATION ERROR; SYNCHRONIZATION SYSTEMS;

CONVERGENCE OF NUMERICAL METHODS; DYNAMICAL SYSTEMS; ERRORS; NONLINEAR DYNAMICAL SYSTEMS; SYNCHRONIZATION;

BIFURCATION (MATHEMATICS);

EID: 69949144702     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. R. Toral, C. R. Mirasso, E. Hernández-García, and O. Piro, Analytical and numerical studies of noise-induced synchronization of chaotic systems, Chaos, vol. 11, no. 3, pp. 665-673, 2001.
2. H. Suetani, T. Horita, and S. Mizutani, Noise-induced enhancement of fluctuation and spurious synchronization in uncoupled type-I intermittent chaotic systems, Phys. Rev. E, vol. 69, pp. 016219, 2004.
3. A. Stefański and T. Kapitaniak, Synchronization of mechanical systems driven by chaotic or random excitation, J. Sound and Vibration, vol. 260, pp. 565-576, 2003.
4. C. S. Zhou, J. Kurths, E. Allaria, S. Boccaletti, R. Meucci, and F. T. Arecchi, Constructive effects of noise in homoclinic chaotic systems, Phys. Rev. E, vol. 67, pp. 066220, 2003.
5. A. B. Neiman and D. F. Russell, Synchronization of noise-induced bursts in noncoupled sensory neurons, Phys. Rev. Lett., vol. 88, no. 13, pp. 138103, 2002.
6. K. Yoshida and K. Sato, Noise-induced synchronization without coupling, Trans. JSME, Series C, vol. 70, no. 696, pp. 2228-2234, 2004 (in Japanese).
7. K. Yoshida, K. Sato, and A. Sugamaga, Noise-induced synchronization of uncoupled nonlinear systems, J. Sound and Vibration, vol. 290, pp. 34-47, 2006.
8. K. Yoshida and Y. Nishizawa, Convergence property of noise-induced synchronization, Proc. of the 38rd ISCIE International Symposium on Stochastic Systems Theory and Its Applications, Suwa, Japan, pp. 7-12, 2007.
9. K. Yoshida and Y. Nishizawa, Convergence property of noise-induced synchronization, Int. J. Innovative Computing, Information and Control, vol. 4, no. 1, pp. 79-89, 2008.
10. Y. K. Lin and G. Q. Cai, Probabilistic Structural Dynamics, McGraw-Hill, pp. 281-304, 1979.
11. S. Keijin, K. Osamu, Y. Sumio, and T. Nobuo, Jump phenomena in gear system to random excitation, Trans. JSME, Series C, vol. 50, no. 458, pp. 1849-1856, 1984 (in Japanese).
12. B. Øksendal, Stochastic Differential Equation, Springer-Verlag, Berlin, 1998.
13. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York, pp. 22-32, 1983.
14. H. Kawakami, Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters, Trans. IEEE CAS, vol. 31, no. 3, pp. 248-260, 1984.