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- W2034921716 abstract "A simple construction is presented which generalizes piecewise linear one-dimensional Markov maps to an arbitrary number of dimensions. The corresponding coupled map lattice, known as a simplicial mapping in the mathematical literature, allows for an analytical investigation. In particular, the spin Hamiltonian which is generated by the symbolic dynamics is accessible. As an example, a formal relation between a globally coupled system and an Ising mean-field model is established. The phase transition in the limit of infinite system size is analyzed and analytical results are compared with numerical simulations." @default.
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- W2034921716 date "1998-02-01" @default.
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- W2034921716 title "Analytical Approach for Piecewise Linear Coupled Map Lattices" @default.
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- W2034921716 doi "https://doi.org/10.1023/a:1023272819435" @default.
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