BIOMAT Database Logo BIOMAT Database Logo

Controlling synchronization in an ensemble of globally coupled oscillators. 2004

Michael G Rosenblum, and Arkady S Pikovsky
Department of Physics, University of Potsdam, Am Neuen Palais 10, PF 601553, D-14415, Potsdam, Germany.

We propose a technique to control coherent collective oscillations in ensembles of globally coupled units (self-sustained oscillators or maps). We demonstrate numerically and theoretically that a time delayed feedback in the mean field can, depending on the parameters, enhance or suppress the self-synchronization in the population. We discuss possible applications of the technique.

UI MeSH Term Description Entries
D008959 Models, Neurological Theoretical representations that simulate the behavior or activity of the neurological system, processes or phenomena; includes the use of mathematical equations, computers, and other electronic equipment. Neurologic Models,Model, Neurological,Neurologic Model,Neurological Model,Neurological Models,Model, Neurologic,Models, Neurologic
D008962 Models, Theoretical Theoretical representations that simulate the behavior or activity of systems, processes, or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Experimental Model,Experimental Models,Mathematical Model,Model, Experimental,Models (Theoretical),Models, Experimental,Models, Theoretic,Theoretical Study,Mathematical Models,Model (Theoretical),Model, Mathematical,Model, Theoretical,Models, Mathematical,Studies, Theoretical,Study, Theoretical,Theoretical Model,Theoretical Models,Theoretical Studies
D009474 Neurons The basic cellular units of nervous tissue. Each neuron consists of a body, an axon, and dendrites. Their purpose is to receive, conduct, and transmit impulses in the NERVOUS SYSTEM. Nerve Cells,Cell, Nerve,Cells, Nerve,Nerve Cell,Neuron
D005246 Feedback A mechanism of communication within a system in that the input signal generates an output response which returns to influence the continued activity or productivity of that system. Feedbacks
D001683 Biological Clocks The physiological mechanisms that govern the rhythmic occurrence of certain biochemical, physiological, and behavioral phenomena. Biological Oscillators,Oscillators, Endogenous,Pacemakers, Biological,Biologic Clock,Biologic Oscillator,Biological Pacemakers,Clock, Biologic,Clocks, Biological,Oscillator, Biologic,Oscillators, Biological,Pacemaker, Biologic,Pacemakers, Biologic,Biologic Clocks,Biologic Oscillators,Biologic Pacemaker,Biologic Pacemakers,Biological Clock,Biological Oscillator,Biological Pacemaker,Clock, Biological,Clocks, Biologic,Endogenous Oscillator,Endogenous Oscillators,Oscillator, Biological,Oscillator, Endogenous,Oscillators, Biologic,Pacemaker, Biological

Related Publications

Michael G Rosenblum, and Arkady S Pikovsky
Stochastic synchronization in globally coupled phase oscillators.
November 2002, Physical review. E, Statistical, nonlinear, and soft matter physics,
Michael G Rosenblum, and Arkady S Pikovsky
Cluster synchronization modes in an ensemble of coupled chaotic oscillators.
March 2001, Physical review. E, Statistical, nonlinear, and soft matter physics,
Michael G Rosenblum, and Arkady S Pikovsky
Phase synchronization and polarization ordering of globally coupled oscillators.
September 2004, Physical review. E, Statistical, nonlinear, and soft matter physics,
Michael G Rosenblum, and Arkady S Pikovsky
Chapman-enskog method and synchronization of globally coupled oscillators
October 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
Michael G Rosenblum, and Arkady S Pikovsky
Synchronization in populations of globally coupled oscillators with inertial effects
September 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
Michael G Rosenblum, and Arkady S Pikovsky
Synchronization and quorum sensing in an ensemble of indirectly coupled chaotic oscillators.
October 2012, Physical review. E, Statistical, nonlinear, and soft matter physics,
Michael G Rosenblum, and Arkady S Pikovsky
Rhythmic synchronization and hybrid collective states of globally coupled oscillators.
August 2018, Scientific reports,
Michael G Rosenblum, and Arkady S Pikovsky
Synchronization in a system of globally coupled oscillators with time delay
January 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
Michael G Rosenblum, and Arkady S Pikovsky
Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators.
July 2013, Physical review. E, Statistical, nonlinear, and soft matter physics,
Michael G Rosenblum, and Arkady S Pikovsky
Self-synchronization in an ensemble of nonlinear oscillators.
June 2016, Chaos (Woodbury, N.Y.),
Copied contents to your clipboard!