منابع مشابه
Cellular automata and Lyapunov exponents
The first definition of Lyapunov exponents (depending on a probability measure) for a one-dimensional cellular automaton were introduced by Shereshevsky in 1991. The existence of an almost everywhere constant value for each of the two exponents (left and right), requires particular conditions for the measure. Shereshevsky establishes an inequality involving these two constants and the metric en...
متن کاملSynchronization and Maximum Lyapunov Exponents of Cellular Automata
We study the synchronization of totalistic one dimensional cellular automata (CA). The CA with a non zero synchronization threshold exhibit complex non periodic space time patterns and conversely. This synchronization transition is related to directed percolation. We study also the maximum Lyapunov exponent for CA, defined in analogy with continuous dynamical systems as the exponential rate of ...
متن کامل6 Space - time directional Lyapunov exponents for cellular automata
Space-time directional Lyapunov exponents are introduced. They describe the maximal velocity of propagation to the right or to the left of fronts of perturbations in a frame moving with a given velocity. The continuity of these exponents as function of the velocity and an inequality relating them to the directional entropy is proved.
متن کاملSpace-time directional Lyapunov exponents for cellular automata
Space-time directional Lyapunov exponents are introduced. They describe the maximal velocity of propagation to the right or to the left of fronts of perturbations in a frame moving with a given velocity. The continuity of these exponents as function of the velocity and an inequality relating them to the directional entropy is proved.
متن کاملAlways finite entropy and Lyapunov exponents of two-dimensional cellular automata
Given a new definition for the entropy of a cellular automata acting on a two-dimensional space, we propose an inequality between the entropy of the shift on a two-dimensional lattice and some angular analog of Lyapunov exponents.
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2000
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/13/5/308