Critical Properties of Phase Transitions in Lattices of Coupled Logistic Maps

M ay 2 00 6 1 Critical properties of phase transitions in lattices of coupled logistic maps

We numerically demonstrate that collective bifurcations in two-dimensional lattices of locally coupled logistic maps share most of the defining features of equilibrium second-order phase transitions. Our simulations suggest that these transitions between distinct collective dynamical regimes belong to the universality class of Miller and Huse model with synchronous update [Marcq et al., Phys. R...

Globally Coupled Maps: Phase Transitions and Synchronization

Bifurcations in a system of coupled maps are investigated. Using symbolic dynamics it is shown that for coupled shift maps the well known space{time{ mixing attractor becomes unstable at a critical coupling strength in favour of a synchronized state. For coupled non{hyperbolic maps analytical and numerical evidence is given that arbitrary small coupling changes the dynamical behaviour. The anom...

Generalized phase transitions in finite coupled map lattices

We investigate generalized phase transitions of type localization delocalization from one to several Sinai-Bowen-Ruelle invariant measures in finite networks of chaotic elements (coupled map lattices) with general graphs of connections in the limit of weak coupling.

Topological Properties of Linearly Coupled Expanding Maps Lattices

synthesis of platinum nanostructures in two phase system

چکیده پلاتین، فلزی نجیب، پایدار و گران قیمت با خاصیت کاتالیزوری زیاد است که کاربرد های صنعتی فراوانی دارد. کمپلکس های پلاتین(ii) به عنوان دارو های ضد سرطان شناخته شدند و در شیمی درمانی بیماران سرطانی کاربرد دارند. خاصیت کاتالیزوری و عملکرد گزینشی پلاتین مستقیماً به اندازه و- شکل ماده ی پلاتینی بستگی دارد. بعضی از نانو ذرات فلزی در سطح مشترک مایع- مایع سنتز شده اند، اما نانو ساختار های پلاتین ب...