Nonlinearity with disorder: Spatio-temporal complex behavior arising from length scales competition.

摘要

One of the many mechanisms underlying complex behavior in physical systems is competition between different length or time scales, which may arise naturally in the considered system or may be imposed by external influences. The purpose of this paper is the following. By means of three examples the authors will illustrate how identification of relevant length scales can lead to a separation of the system behavior in two regimes. Far from the competition region, it can be described in very simple ways, usually involving a few degrees of freedom. On the contrary, when relevant scales are in conflict, the behavior of the system turns out to be complex, typically chaotic. Therefore, the success of this approach is that it goes straightforwardly to the deep reasons for complex behavior, making amenable to analytical studies all other regimes. (ERA citation 19:002347)