Noise-induced intermittent cellular patterns on circular domains.

We study the effects of thermal noise in a stochastic Langevin formulation of a typical example of a pattern-forming system with two-dimensional circular domain. A greater tendency towards dynamic cellular states is observed when the pattern-forming system is subjected to noise, which seems to explain the prevailing behavior of related laboratory experiments. We also report on two-dimensional numerical observations of certain dynamic states, homoclinic intermittent states, which until now, had only been observed in laboratory experiments.