Scaling Structures and Statistical Mechanics of Type I Intermittent Chaos
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Le chaos intermittent presente des mouvements laminaires reguliers and des explosions turbulentes irregulieres alternativement, indiquant que son attracteur chaotique possede deux types differents de structures locales.Abstract:
Le chaos intermittent presente des mouvements laminaires reguliers et des explosions turbulentes irregulieres alternativement, indiquant que son attracteur chaotique possede deux types differents de structures locales. Pour l'intermittence de type I juste avant la bifurcation de nœud-selle, les deux types de structures locales peuvent etre captures par le spectre de fluctuation λ(Λ) des vitesses de developpement locales semi-fixes Λ des orbites toutes proches et leur moyenne q-ponderee Λ(q), (−∞<q<∞)read more
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Statistical properties of chaos demonstrated in a class of one-dimensional maps.
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Bivariate thermodynamics of multifractals as an eigenvalue problem.
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Gibbs measures and power spectra for type I intermittent maps
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Equilibrium phase transitions in coupled map lattices: a pedestrian approach
TL;DR: In this article, a class of piecewise linear coupled map lattices with simple symbolic dynamics is constructed, which can be solved analytically in terms of the statistical mechanics of spin lattices.
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Analytical Approach for Piecewise Linear Coupled Map Lattices
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References
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