Noise-supported travelling waves in sub-excitable media

The detection of weak signals of nonlinear dynamical systems in noisy environments may improve with increasing noise, reaching an optimal level before the signal is overwhelmed by the noise. This phenomenon, known as stochastic resonance,, has been characterized in electronic, laser, magnetoelastic, physical and chemical systems. Studies of stochastic resonance and noise effects in biological, and excitable dynamical systems have attracted particular interest, because of the possibility of noise-supported signal transmission in neuronal tissue and other excitable biological media. Here we report the positive influence of noise on wave propagation in a photosensitive Belousov–Zhabotinsky reaction. The chemical medium, which is sub-excitable and unable to support sustained wave propagation, is illuminated with light that is spatially partitioned into an array of cells in which the intensity is randomly varied. Wave propagation is enhanced with increasing noise amplitude, and sustained propagation is achieved at an optimal level. Above this level, only fragmented waves are observed.

[1]  D. Bohm,et al.  Significance of Electromagnetic Potentials in the Quantum Theory , 1959 .

[2]  R. Chambers Shift of an electron interference pattern by enclosed magnetic flux , 1960 .

[3]  医療政策委員会 Concentration wave propagation in two-dimensional liquid-phase self-oscillating system , 1970 .

[4]  A. Winfree Spiral Waves of Chemical Activity , 1972, Science.

[5]  R. M. Noyes,et al.  Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction , 1974 .

[6]  J. Tyson,et al.  Target patterns in a realistic model of the Belousov–Zhabotinskii reaction , 1980 .

[7]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[8]  S. Fauve,et al.  Stochastic resonance in a bistable system , 1983 .

[9]  Chandrasekhar,et al.  Observation of Aharonov-Bohm electron interference effects with periods h/e and h/2e in individual micron-size, normal-metal rings. , 1985, Physical review letters.

[10]  Webb,et al.  Observation of h/e Aharonov-Bohm oscillations in normal-metal rings. , 1985, Physical review letters.

[11]  R. L. Pitliya,et al.  Oscillations in Chemical Systems , 1986 .

[12]  Kern,et al.  Normal-metal Aharonov-Bohm effect in the presence of a transverse electric field. , 1987, Physical review letters.

[13]  H. Swinney,et al.  Sustained chemical waves in an annular gel reactor: a chemical pinwheel , 1987, Nature.

[14]  Roy,et al.  Observation of stochastic resonance in a ring laser. , 1988, Physical review letters.

[15]  V. I. Krinsky,et al.  Image processing using light-sensitive chemical waves , 1989, Nature.

[16]  R. Kapral,et al.  Noise‐induced transitions in an excitable system , 1989 .

[17]  L. Kuhnert,et al.  Analysis of the modified complete Oregonator accounting for oxygen sensitivity and photosensitivity of Belousov-Zhabotinskii systems , 1990 .

[18]  B. Hess,et al.  Gel systems for the Belousov-Zhabotinskii reaction , 1991 .

[19]  A. Winfree Varieties of spiral wave behavior: An experimentalist's approach to the theory of excitable media. , 1991, Chaos.

[20]  S. Washburn,et al.  Quantum transport in small disordered samples from the diffusive to the ballistic regime , 1992 .

[21]  Ditto,et al.  Experimental observation of stochastic resonance in a magnetoelastic ribbon. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[22]  Nazarov Aharonov-Bohm effect in the system of two tunnel junctions. , 1993, Physical review. B, Condensed matter.

[23]  Adi R. Bulsara,et al.  Preface , 1993 .

[24]  S. Muller,et al.  Complexity in spiral wave dynamics(a)). , 1993, Chaos.

[25]  Wiesenfeld,et al.  Stochastic resonance on a circle. , 1994, Physical review letters.

[26]  Frank Moss,et al.  STOCHASTIC RESONANCE: TUTORIAL AND UPDATE , 1994 .

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

[28]  Kurt Wiesenfeld,et al.  Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs , 1995, Nature.

[29]  Gottfried Mayer-Kress,et al.  Noise controlled spiral growth in excitable media. , 1995, Chaos.

[30]  Carson C. Chow,et al.  Stochastic resonance without tuning , 1995, Nature.

[31]  Amemiya,et al.  Spiral Wave Formation in Three-Dimensional Excitable Media. , 1996, Physical review letters.

[32]  J. Muller,et al.  Stochastic Resonance in Chemistry. 3. The Minimal-Bromate Reaction , 1996 .

[33]  F. W. Schneider,et al.  Stochastic Resonance in Chemistry. 1. The Belousov−Zhabotinsky Reaction , 1996 .

[34]  A. Oudenaarden,et al.  CONDUCTANCE FLUCTUATIONS IN A METALLIC WIRE INTERRUPTED BY A TUNNEL JUNCTION , 1997, cond-mat/9704113.

[35]  Kenneth Showalter,et al.  Reaction Mechanism for Light Sensitivity of the Ru(bpy)32+-Catalyzed Belousov−Zhabotinsky Reaction , 1997 .

[36]  V. Umansky,et al.  Phase measurement in a quantum dot via a double-slit interference experiment , 1997, Nature.

[37]  Valery Petrov,et al.  Resonant pattern formation in achemical system , 1997, Nature.

[38]  F Moss,et al.  Noise-induced spiral waves in astrocyte syncytia show evidence of self-organized criticality. , 1998, Journal of neurophysiology.

[39]  Yutaka Sugita,et al.  Observation of Aharonov-Bohm effect by electron holography , 1982 .