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Register a new userMechanisms of synchronization and pattern formation in a lattice of pulse-coupled oscillators
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Added by
Albert Diaz-Guilera
Publication date
1997
fields
Physics
and research's language is
English
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We analyze the physical mechanisms leading either to synchronization or to the formation of spatio-temporal patterns in a lattice model of pulse-coupled oscillators. In order to make the system tractable from a mathematical point of view we study a one-dimensional ring with unidirectional coupling. In such a situation, exact results concerning the stability of the fixed of the dynamic evolution of the lattice can be obtained. Furthermore, we show that this stability is the responsible for the different behaviors.
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