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Titlebook: Cellular Automata and Complex Systems; Eric Goles,Servet Martínez Book 1999 Springer Science+Business Media Dordrecht 1999 Turing machine.

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Time Averages for Some Classes of Expansive One-Dimensional Cellular Automata,In this paper we present new results and also we review some recent results about the convergence of the Cesàro means associated to some classes of both positive-expansive and expansive one-dimensional cellular automata of algebraic origin, starting from Bernoulli and Markov measures on the one-dimensional lattice.
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Nonlinear Phenomena and Complex Systemshttp://image.papertrans.cn/c/image/222983.jpg
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Phenomenology of Cellular Automata Simulations of Natural Processes,structures in biological and chemical morphogenesis, the pigmentation of mollusc shells, chemical turbulence, biological nets (e. g. leaf veins, insect trachea and blood capillaries), and tectonic processes (earthquakes). The dynamics are not only described by classes (1 through 4) using Wolfram’s n
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Interfaces, view of thermodynamics. In section 2, the statistical mechanical theory is introduced. We consider, in particular, the description of the microscopic interface at low temperatures and the existence of a free energy per unit area (surface tension). In section 3, a proof is given of the microscopic v
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Lyapunov Spectra in Spatially Extended Systems,s, namely chains of coupled oscillators and coupled map lattices (CML). After introducing the main definitions and theorems and presenting the most widely used computational algorithm (due to Benettin et al.) in Section 1, I give an account, in Section 2, of the existence of a Lyapunov spectral dens
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