Dynamic Properties of Coupled Maps

Dynamic Properties of Coupled Maps

Dynamic properties are investigated in the coupled system of three maps with symmetric nearest neighbor coupling and periodic boundary conditions. The dynamics of the system is controlled by certain coupling parameters. We show that, for some values of the parameters, the system exhibits nontrivial collective behavior, such as multiple bifurcations, and chaos. We give computer simulations to su...

Dynamic plasticity in coupled avian midbrain maps.

Internal mapping of the external environment is carried out using the receptive fields of topographic neurons in the brain, and in a normal barn owl the aural and visual subcortical maps are aligned from early experiences. However, instantaneous misalignment of the aural and visual stimuli has been observed to result in adaptive behavior, manifested by functional and anatomical changes of the a...

Scaling properties of invariant densities of coupled Chebyshev maps

We study 1-dimensional coupled map lattices consisting of diffusively coupled Chebyshev maps of N -th order. For small coupling constants a we determine the invariant 1-point and 2-point densities of these nonhyperbolic systems in a perturbative way. For arbitrarily small couplings a > 0 the densities exhibit a selfsimilar cascade of patterns, which we analyse in detail. We prove that there are...

Scaling properties of invariant densities of coupled Tchebyscheff maps

We study 1-dimensional coupled map lattices consisting of diffusively coupled Tchebyscheff maps of N -th order. For small coupling constants a we determine the invariant 1-point and 2-point densities of these nonhyperbolic systems in a perturbative way. For arbitrarily small couplings a > 0 the densities exhibit a selfsimilar cascade of patterns, which we analyse in detail. We prove that there ...

Topological Properties of Linearly Coupled Expanding Maps Lattices