Symbolic dynamics of fully developed chaos III. Infinite-memory sequences and phase transitions

R. Kluiving, H.W. Capel and R.A. Pasmanter

Physica A: Statistical Mechanics and its Applications, 1992, vol. 186, issue 3, 405-440

Abstract: A special type of dynamical phase transitions which arises in a particular one-dimensional fully developed chaotic iterated map is studied by means of a symbolic dynamics. Exact analytical expressions for the probabilities of words are found on both sides of the critical value, making it possible to give a statistical description of the critical behaviour at the phase transition in terms of Boltzmann entropies, correlation functions and generalized dimensions.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:186:y:1992:i:3:p:405-440

DOI: 10.1016/0378-4371(92)90209-9

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