Noise-sustained propagation of unstable pulses due to exponential interaction between pulse fronts in bistable systems with flows.

摘要: We study effects of noise on pulse propagation in two bistable systems with flows: a chain unidirectionally coupled neurons and reaction-diffusion-convection equation cubic nonlinearity. Pulse the is described by common kinematical equation, which has exponential interaction between adjacent fronts. The length pulses then dealt as first passage time problem it. show that additive spatiotemporal increases unstable sustains propagation. mean single infinitely presence infinitesimal strength. distributed power-law form exponent -3/2 strength increases. A resonance-like behavior also shown bounding width, maximal at intermediate Further, proportion survival some fixed takes maximum value optimal