SPIRAL WAVE MAINTAINED BY NOISE

The effect of Gaussian white noise on a chemical wavefront is studied in a modified FitzHugn–Nagumo model by applying numerical simulations. A rotating spiral waves can be formed if the medium is excitable enough and the fronts has a free end, when the reaction diffusion system is disturbed by a certain non-zero level noise. It is counterintuitive that noise plays a constructive role in the product and propagation of single spiral waves in this letter. Weak or strong noise will make against the product and propagation of spiral waves. In a certain noise level, spiral wave can be maintained in a medium, where such spiral waves cannot be observed in the absence of the noise.

[1]  W. Ditto,et al.  Noise Enhanced Propagation , 1998 .

[2]  D. Barkley,et al.  Euclidean symmetry and the dynamics of rotating spiral waves. , 1994, Physical review letters.

[3]  Markus Bär,et al.  Bifurcation and stability analysis of rotating chemical spirals in circular domains: boundary-induced meandering and stabilization. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  K. Showalter,et al.  Noise-supported travelling waves in sub-excitable media , 1998, Nature.

[5]  Gerhard Ertl,et al.  Oscillatory Kinetics in Heterogeneous Catalysis , 1995 .

[6]  W. Baxter,et al.  Stationary and drifting spiral waves of excitation in isolated cardiac muscle , 1992, Nature.

[7]  Spatiotemporal stochastic resonance in the Swift-Hohenberg equation , 1997, cond-mat/9702205.

[8]  Xin Houwen,et al.  NOISE INDUCED PATTERN TRANSITION AND SPATIOTEMPORAL STOCHASTIC RESONANCE , 1998 .

[9]  Edgar Knobloch,et al.  Breakup of Spiral Waves into Chemical Turbulence , 1998 .

[10]  Tuckerman,et al.  Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotation. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[11]  Lutz Schimansky-Geier,et al.  Noise-Sustained Pulsating Patterns and Global Oscillations in Subexcitable Media , 1999 .

[12]  M. Cross,et al.  Pattern formation outside of equilibrium , 1993 .

[13]  Kenneth Showalter,et al.  Noise Driven Avalanche Behavior in Subexcitable Media , 1999 .

[14]  P. Jung,et al.  Thermal Waves, Criticality, and Self-Organization in Excitable Media , 1997 .

[15]  Jung,et al.  Spatiotemporal stochastic resonance in excitable media. , 1995, Physical review letters.

[16]  Jung,et al.  Coherent structure analysis of spatiotemporal chaos , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  Kenneth Showalter,et al.  Chemical waves and patterns , 1995 .

[18]  D. Barkley A model for fast computer simulation of waves in excitable media , 1991 .