منابع مشابه
Coupled maps on trees.
Abstract We study coupled maps on a Cayley tree, with local (nearest-neighbor) interactions, and with a variety of boundary conditions. The homogeneous state (where every lattice site has the same value) and the node-synchronized state (where sites of a given generation have the same value) are both shown to occur for particular values of the parameters and coupling constants. We study the stab...
متن کاملUniversal maps on trees
A map f : R ! S of continua R and S is called a universal map from R to S if for any map g : R ! S, f(x) = g(x) for some point x 2 R. When R and S are trees, we characterize universal maps by reducing to the case of light minimal universal maps. The characterization uses the notions of combinatorial map and folded subedge of R. MOS Subject Classi cation Primary: 54H25 Secondary: 54F20
متن کاملLipschitz Maps on Trees
We introduce and study a metric notion for trees and relate it to a conjecture of Shelah [10] about the existence of a finite basis for a class of linear orderings.
متن کاملDynamical Regularization in Scalefree-Trees of Coupled 2D Chaotic Maps
The dynamics of coupled 2D chaotic maps with time-delay on a scalefree-tree is studied, with different types of the collective behaviors already been reported for various values of coupling strength [1]. In this work we focus on the dynamics’ time-evolution at the coupling strength of the stability threshold and examine the properties of the regularization process. The time-scales involved in t...
متن کاملCoupled Analytic Maps
We consider a lattice of weakly coupled expanding circle maps. We construct, via a cluster expansion of the Perron-Frobenius operator, an invariant measure for these innnite dimensional dynamical systems which exhibits space-time-chaos.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1995
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.52.2478