منابع مشابه
On Circle Map Coupled Map Lattice
The circle map in one and two dimensions is studied. Both its stability and synchronization , using a bounded control and persistence, are discussed. This work is expected to be applicable in ecology where spatial effects are known to be important. Also, it will be relevant to systems where delay effects are not negligible.
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متن کاملLocalization in a Coupled Standard Map Lattice
We study spatially localized excitations in a lattice of coupled standard maps. Time-periodic solutions (breathers) exist in a range of coupling that is shown to shrink as the period grows to innnity, thus excluding the possibility of time-quasiperiodic breathers. The evolution of initially localized chaotic and quasiperiodic states in a lattice is studied numerically. Chaos is demonstrated to ...
متن کاملProbabilistic signatures of spatiotemporal intermittency in the coupled sine circle map lattice
The phase diagram of the coupled sine circle map lattice exhibits a variety of interesting phenomena including spreading regions with spatiotemporal intermittency, non-spreading regions with spatial intermittency, and coherent structures termed solitons. A cellular automaton mapping of the coupled map lattice maps the spreading to non-spreading transition to a transition from a probabilistic to...
متن کاملOn the Stabilization of Internally Coupled Map Lattice Systems
The adaptive adjustment mechanism is applied to the stabilization of an internally coupled map lattice system defined by xi,t+1 = G((1 − αi − βi)xi,t + αixi+1,t + βixi−1,t), where f : R → R is a nonlinear map, and α and β are nonnegative coupling constants that satisfy the constraint αi +βi < 1, for all x ∈ R, i= 1,2, . . . ,n. Sufficient conditions and ranges of adjustment parameters that guar...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2003
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171203111234