Critical attractors and q-statistics

Abstract

An account is given of the features, of the kind pertaining to q-statistics, of the dynamics at the one-dimensional critical attractors associated to the three familiar routes to chaos, intermittency, period doubling and quasiperiodicity. Connections between the properties of these attractors and those of systems with many degrees of freedom at extremal or transitional states are briefly described.

published in "Nonextensive Statistical Mechanics: New Trends, New Perspectives", eds. JP Boon and C. Tsallis, Europhysics News, Vol. 36 (2005)

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