Transition to Chaos for Random Dynamical Systems

Phys. Rev. Lett.65, 2935 (1990)https://ireap.umd.edu/10.1103/PhysRevLett.65.29351990Journal ArticleComplex and Emergent Systems

%'e study the transition to chaos for random dynamical systems. Near the transition, on the chaotic side, the long-time particle distribution (which is fractal) that evolves from an initial smooth distribution exhibits an extreme form of temporally intermittent bursting whose scaling we investigate. As a physical example, the problem of the distribution of particles