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- W2002846857 abstract "By simulating a nonequilibrium coupled map lattice that undergoes an Ising-like phase transition, we show that the Lyapunov spectrum and related dynamical quantities such as the dimension correlation length~$xi_delta$ are insensitive to the onset of long-range ferromagnetic order. As a function of lattice coupling constant~$g$ and for certain lattice maps, the Lyapunov dimension density and other dynamical order parameters go through a minimum. The occurrence of this minimum as a function of~$g$ depends on the number of nearest neighbors of a lattice point but not on the lattice symmetry, on the lattice dimensionality or on the position of the Ising-like transition. In one-space dimension, the spatial correlation length associated with magnitude fluctuations and the length~$xi_delta$ are approximately equal, with both varying linearly with the radius of the lattice coupling." @default.
- W2002846857 created "2016-06-24" @default.
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- W2002846857 date "1996-04-01" @default.
- W2002846857 modified "2023-09-25" @default.
- W2002846857 title "Lyapunov spectral analysis of a nonequilibrium Ising-like transition" @default.
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- W2002846857 doi "https://doi.org/10.1103/physreve.53.3374" @default.
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