Mutual Synchronization

Abstract

Biological organisms do not only actively move themselves in physical coordinate space. Any such organism has a complex internal dynamics. In some cases this dynamics is cyclic, so that an organism persistently goes through a closed sequence of states and operates as a clock. This form of internal dynamics can be viewed as an active motion along a certain cyclic coordinate. Interaction between individual elements in large ensembles of such oscillators may lead to mutual entrainment of their cycles and thus to the emergence of coherent internal dynamics. The onset of mutual synchronization in oscillator ensembles resembles a phase transition.KeywordsLyapunov ExponentNoise IntensitySynchronization TransitionSynchronous StateSynchronous MotionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.