Noise induced order in the Matsumoto-Tsuda model
Isaia Nisoli (UFRJ)
In 1980, studying experimental data obtained from the Belosouv-Zabotinsky chemical reaction, Matsumoto and Tsuda introduced a model: a random dynamical system consisting of a one-dimensional unimodal map with uniform additive noise. Through numerical simulations, varying the amplitude of the noise, Matsumoto and Tsuda conjectured that this mapspresentsaphenomenontheycalledNoiseInducedOrder, i.e., forsmallnoiseamplitudestheLyapunovexponent of the stationary measure is positive and for big noise sizes the Lyapunov exponent is positive. In this talk I will present a joint work with Galatolo and Monge, which proves this conjecture.