1303.1040 (Roberto Venegeroles)

Universality in weak chaos    [PDF]

Roberto Venegeroles

We consider a general class of intermittent maps designed to be weakly chaotic, i.e., for which the separation of trajectories of nearby initial conditions is weaker than exponential. We show that all its spatio-temporal properties, hitherto regarded independently in the literature, can be represented by a single characteristic function $\phi$. A universal criterion for the choice of $\phi$ to be fulfilled by weakly chaotic systems is obtained via the Feigenbaum's renormalization-group approach. We find a general expression for the dispersion rate of initially nearby trajectories and we show that the instability scenario for weakly chaotic systems is more general than that originally proposed by Gaspard and Wang [Proc. Natl. Acad. Sci. USA 85, 4591 (1988)].

View original: http://arxiv.org/abs/1303.1040