Lattice dynamical systems (LDSs) form the class of extended systems that is the
intermediate one between partial differential equations (PDEs) and cellular automata. The …

We investigate pattern formation and evolution in coupled map lattices when advection is
incorporated, in addition to the usual diffusive term. All patterns may be suitably grouped into …

Interface dynamics separating homogeneous phases is shown to be the main mechanism
underlying irregular evolution in 2D linearly stable, coupled map lattices. In a fully …

We investigate quasiperiodic travelling waves (QTWs) in lattices of diffusively coupled
logistic maps. Starting from the assumption that any spatial structure can be broken down …

Lattice Dynamical Systems (LDS) form a class of extended systems that is intermediate
between partial differential equations and cellular automata. Although introduced rather …

The stability and formation of structures in lattices of diffusively coupled logistic maps are
investigated for high nonlinearity and medium and large coupling. Two stability statements …

3. But your question does lead to something that Matt Gudorf never explored in his thesis:
Perhaps the most important insight of the spatiotemporal reformulation of 'chaos' is that the …

Some significant nonchaotic behaviors of the lattices of coupled logistic maps are analyzed.
În particular, the review concerns the organization of cy-cles for small coupling and the …

The stability of non-chaotic structures in lattices of coupled logistic maps is analyzed in
parameter space. We state the existence of a few elementary structures the stability of which …