Excitable Structures in Stochastic Bistable Media

作者: J García-Ojalvo , L Schimansky-Geier

DOI: 10.1023/A:1026493517549

关键词: TurbulenceExternal noiseNoise (radio)BistabilityPulse propagationStatistical physicsParametric statisticsFront propagationControl theoryPhysics

摘要: We examine the influence of parametric noise on spatiotemporal behavior a bistable medium with activator–inhibitor dynamics. Deterministic front propagation in one dimension is seen to be destabilized by external noise, resulting solitary pulses through system. For large enough levels, this state becomes unstable via backfiring mechanism, which eventually leads turbulent state.

参考文章(22)
Ilya Prigogine, G. Nicolis, Self-Organization in nonequilibrium systems John Wiley & Sons. ,(1977)
Sándor Kádár, Jichang Wang, Kenneth Showalter, Noise-supported travelling waves in sub-excitable media Nature. ,vol. 391, pp. 770- 772 ,(1998) , 10.1038/35814
C. NICOLIS, G. NICOLIS, Stochastic aspects of climatic transitions–Additive fluctuations Tellus A. ,vol. 33, pp. 225- 234 ,(1981) , 10.1111/J.2153-3490.1981.TB01746.X
Martín G. Zimmermann, Sascha O. Firle, Mario A. Natiello, Michael Hildebrand, Markus Eiswirth, Markus Bär, Anil K. Bangia, Ioannis G. Kevrekidis, Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model Physica D: Nonlinear Phenomena. ,vol. 110, pp. 92- 104 ,(1997) , 10.1016/S0167-2789(97)00112-7
J. García-Ojalvo, J. M. Sancho, J. M. Sancho, R. Toral, A. M. Lacasta, Phase separation driven by external fluctuations EPL. ,vol. 42, pp. 125- 130 ,(1998) , 10.1209/EPL/I1998-00217-9
Peter Jung, Gottfried Mayer-Kress, Spatiotemporal stochastic resonance in excitable media. Physical Review Letters. ,vol. 74, pp. 2130- 2133 ,(1995) , 10.1103/PHYSREVLETT.74.2130
Ying Zhang, Gang Hu, Luca Gammaitoni, Signal transmission in one-way coupled bistable systems: Noise effect Physical Review E. ,vol. 58, pp. 2952- 2956 ,(1998) , 10.1103/PHYSREVE.58.2952
Alexander Neiman, Alexander Silchenko, Vadim Anishchenko, Lutz Schimansky-Geier, STOCHASTIC RESONANCE : NOISE-ENHANCED PHASE COHERENCE Physical Review E. ,vol. 58, pp. 7118- 7125 ,(1998) , 10.1103/PHYSREVE.58.7118
M. Misono, T. Kohmoto, Y. Fukuda, M. Kunitomo, Noise-enhanced transmission of information in a bistable system Physical Review E. ,vol. 58, pp. 5602- 5607 ,(1998) , 10.1103/PHYSREVE.58.5602
John F. Lindner, Sridhar Chandramouli, Adi R. Bulsara, Markus Löcher, William L. Ditto, Noise Enhanced Propagation Physical Review Letters. ,vol. 81, pp. 5048- 5051 ,(1998) , 10.1103/PHYSREVLETT.81.5048