Supertransients, spatiotemporal intermittency and stability of fully developed spatiotemporal chaos

Abstract

Structural stability of fully developed spatiotemporal chaos (FDSTC) is confirmed. The stability is sustained by the destruction of all windows through spatiotemporal intermittency and supertransients. Transition to intermittency is found to occur successsively, via type-I and then type-II transients. In type-I transients, the transient time increases algebraically with system size, while it increases exponentially in type-II. Decay of positive Lyapunov exponents is gradual in the former and abrupt in the latter. In FDSTC, spatial and temporal correlations are found to decay exponentially, as measured by mutual information. The existence of a finite correlation length assures the density of thermodynamic quantifiers. © 1990.