WebWe consider analytic expanding circle maps on N-dimensional torus with a small n-body mean-field coupling. We construct an interaction ΦN, whose unique Gibbs state gives us the SRB-measure of our system. We prove that the high-temperature polymer expansion converges for a class of interactions to which ΦN belongs. Using the expansion, we give … WebOct 21, 2013 · To identify and to explain coupling-induced phase transitions in Coupled Map Lattices (CML) has been a lingering enigma for about two decades. In numerical …
Breaking of Ergodicity in Expanding Systems of Globally Coupled ...
WebDespite their simplicity, coupled maps show a wide range of behavior, both with global coupling „in which each map is affected by the dynamics of all other maps; a mean field interaction… and local coupling „where each map interacts only with its nearest neighbors…. Download Free PDF View PDF WebAug 23, 2024 · We study a network of finitely many interacting clusters where each cluster is a collection of globally coupled circle maps in the thermodynamic (or mean field) limit. The state of each cluster is described by a probability measure, and its evolution is given by a self-consistent transfer operator. know your horses plugin
Turbulence in Globally Coupled Maps – arXiv Vanity
WebThe de nition of discrete maps has recently been extended to fractional maps to model such situations. We extend this de nition to a spatiotemporal system. We de ne a coupled map lattice on di erent topologies, namely, one-dimensional coupled map lattice, globally coupled system and small-world network. WebNov 5, 2024 · Choose between several maps and pick the best labeled world map for your needs. ... The UN expect the global population to grow to 9.7 billion by 2050 and over 10 … WebMay 2, 2012 · Through the analogy between globally coupled maps and a single driven map, the clustering behavior of the former systems can be characterized. By using this … redbery books cable wi