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Titlebook: Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems; Jean-René Chazottes,Bastien Fernandez Book 2005 Springer-Verla

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Xianlin Liu,Jianming Wang,Yukuan Sunance in alloy solidification, in population dynamics and in solid-state physics. Special emphasis is made on the existence of travelling waves, on the uniqueness of their velocity and on their relevance for the description of propagation phenomena in such systems.
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Xianlin Liu,Jianming Wang,Yukuan SunBroadly speaking, monotone dynamics means that some partial order is preserved under the dynamics, that is, if two solutions of some differential equation are ordered at an initial time, they remain in the same order at later times; we also speak of order-preserving dynamics. This monotonicity property makes the dynamics comparatively simple.
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The CML2004 Project,Coupled map lattices (CML) are basic models for the time evolution of nonlinear systems which, above all, are extended in space or involve many individual units. The characteristic features of CML are
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Spatially Extended Monotone Mappings,ance in alloy solidification, in population dynamics and in solid-state physics. Special emphasis is made on the existence of travelling waves, on the uniqueness of their velocity and on their relevance for the description of propagation phenomena in such systems.
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Linlin Ding,Yiming Han,Mo Li,Dong Licarries a unique probability measure describing the long-time statistics of the forward orbits of almost all initial conditions in its basin. This was proved [28] by converting the orbits of the dynamical system into symbol sequences from a finite alphabet (indexed by time) and considering them as s
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