منابع مشابه
Chimera states for coupled oscillators.
Arrays of identical oscillators can display a remarkable spatiotemporal pattern in which phase-locked oscillators coexist with drifting ones. Discovered two years ago, such "chimera states" are believed to be impossible for locally or globally coupled systems; they are peculiar to the intermediate case of nonlocal coupling. Here we present an exact solution for this state, for a ring of phase o...
متن کاملCascades of Multiheaded Chimera States for Coupled Phase Oscillators
YURI L. MAISTRENKO?†, ANNA VASYLENKO†‡, OLEKSANDR SUDAKOV†q, ROMAN LEVCHENKO† and VOLODYMYR L. MAISTRENKO† ?Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska st. 3, 01030, Kyiv, Ukraine, [email protected] †National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukrai...
متن کاملSolvable model for chimera states of coupled oscillators.
Networks of identical, symmetrically coupled oscillators can spontaneously split into synchronized and desynchronized subpopulations. Such chimera states were discovered in 2002, but are not well understood theoretically. Here we obtain the first exact results about the stability, dynamics, and bifurcations of chimera states by analyzing a minimal model consisting of two interacting populations...
متن کاملChimera States in populations of nonlocally coupled chemical oscillators.
Chimera states occur spontaneously in populations of coupled photosensitive chemical oscillators. Experiments and simulations are carried out on nonlocally coupled oscillators, with the coupling strength decreasing exponentially with distance. Chimera states with synchronized oscillators, phase waves, and phase clusters coexisting with unsynchronized oscillators are analyzed. Irregular motion o...
متن کاملMulticluster and traveling chimera states in nonlocal phase-coupled oscillators.
Chimera states consisting of domains of coherently and incoherently oscillating identical oscillators with nonlocal coupling are studied. These states usually coexist with the fully synchronized state and have a small basin of attraction. We propose a nonlocal phase-coupled model in which chimera states develop from random initial conditions. Several classes of chimera states have been found: (...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2004
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.93.174102