Globally coupled maps with asynchronous updating
نویسندگان
چکیده
We analyze a system of globally coupled logistic maps with asynchronous updating. We show that its dynamics differs considerably from that of the synchronous case. For growing values of the coupling intensity, an inverse bifurcation cascade replaces the structure of clusters and ordering in the phase diagram. We present numerical simulations and an analytical description based on an effective single-element dynamics affected by internal fluctuations. Both of them show how global coupling is able to suppress the complexity of the single-element evolution. We find that, in contrast to systems with synchronous update, internal fluctuations satisfy the law of large numbers. @S1063-651X~98!15110-3#
منابع مشابه
Stabilization of Causally and Non–Causally Coupled Map Lattices
Two-dimensional coupled map lattices have global stability properties that depend on the coupling between individual maps and their neighborhood. The action of the neighborhood on individual maps can be implemented in terms of “causal” coupling (to spatially distant past states) or “non-causal” coupling (to spatially distant simultaneous states). In this contribution we show that globally stabl...
متن کاملCollective motions in globally coupled tent maps with stochastic updating.
We study a generalization of globally coupled maps, where the elements are updated with probability p. When p is below a threshold p(c), the collective motion vanishes and the system is the stationary state in the large size limit. We present the linear stability analysis.
متن کاملDirected Percolation Universality in Asynchronous Evolution of Spatio-Temporal Intermittency
We present strong evidence that a coupled-map-lattice model for spatiotemporal intermittency belongs to the universality class of directed percolation when the updating rules are asynchronous, i.e. when only one randomly chosen site is evolved at each time step. In contrast, when the system is subjected to parallel updating, available numerical evidence suggest that it does not belong to this u...
متن کاملUniversality Class of Probabilistic Cellular Automata
The Ising-like phase transition is considered in probabilistic cellular automata (CA). The nonequilibrium CA with Toom rule are compared to standard equilibrium lattice systems to verify influence of synchronous vs asynchronous updating. It was observed by Marcq et al. [Phys.Rev.E 55(1997) 2606] that the mode of updating separates systems of coupled map lattices into two distinct universality c...
متن کاملDeveloping a New Method in Object Based Classification to Updating Large Scale Maps with Emphasis on Building Feature
According to the cities expansion, updating urban maps for urban planning is important and its effectiveness is depend on the information extraction / change detection accuracy. Information extraction methods are divided into two groups, including Pixel-Based (PB) and Object-Based (OB). OB analysis has overcome the limitations of PB analysis (producing salt-pepper results and features with hole...
متن کامل