Back to search

Intrinsic fluctuations and a phase transition in a class of large populations of interacting oscillators

Data up to Jan 2025

Published1990
Citations145
References33

Total Citations Per Year

Abstract

References (33)

Self-Organization in Nonequilibrium Systems

1977 • 5,342 citations

Introduction to Phase Transitions and Critical Phenomena

1972 • 4,053 citations

Introduction to Phase Transitions and Critical Phenomena

1973 • 3,785 citations

The Geometry of Biological Time

1980 • 3,627 citations

Synergetics, Introduction to

2009 • 2,418 citations

Biological rhythms and the behavior of populations of coupled oscillators

1967 • 1,935 citations

Scaling Theory for Finite-Size Effects in the Critical Region

1972 • 1,401 citations

Synergetics

1978 • 1,133 citations

Introduction to Phase Transitions and Critical Phenomena

1987 • 663 citations

International Symposium on Mathematical Problems in Theoretical Physics

1975 • 655 citations

The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical model

1982 • 547 citations

A Soluble Active Rotater Model Showing Phase Transitions via Mutual Entertainment

1986 • 501 citations

A POWER SERIES EXPANSION OF THE MASTER EQUATION

1961 • 486 citations

Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.

1984 • 456 citations

Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities

1987 • 361 citations

Symmetry and phaselocking in chains of weakly coupled oscillators

1986 • 312 citations

Cooperative Dynamics of Oscillator Community

1984 • 287 citations

Local and Grobal Self-Entrainments in Oscillator Lattices

1987 • 213 citations

Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies

1988 • 207 citations

Large-size critical behavior of infinitely coordinated systems

1983 • 172 citations

A. T. Winfree, The Geometry of Biological Time (Biomathematics, Vol.8). 530 S., 290 Abb. Berlin‐Heidelberg‐New‐York 1980. Springer‐Verlag. DM 59,50

1981 • 163 citations

Lower Critical Dimension for Populations of Oscillators with Randomly Distributed Frequencies: A Renormalization-Group Analysis

1988 • 124 citations

Population Dynamics of Randomly Interacting Self-Oscillators. I: Tractable Models without Frustration

1987 • 116 citations

Cooperative Dynamics in Complex Physical Systems

1989 • 85 citations

Synchronization of infinitely many coupled limit-cycle type oscillators

1989 • 72 citations

Synergetic Approach to the Phenomena of Mode-Locking in Nonlinear Systems

1976 • 53 citations

Scaling behaviour at the onset of mutual entrainment in a population of interacting oscillators

1987 • 52 citations

Discrete-Time Population Dynamics of Interacting Self-Oscillators

1986 • 49 citations

Self-synchronization of nonlinear oscillations in the presence of fluctuations

1981 • 41 citations

Cooperative Phenomena in Two-Dimensional Active Rotator Systems

1986 • 33 citations

Intrinsic Fluctuation and Its Critical Scaling in a Class of Populations of Oscillators with Distributed Frequencies

1989 • 27 citations

Computer Experiment on the Cooperative Behavior of a Network of Interacting Nonlinear Oscillators

1989 • 24 citations

Cooperative dynamics of a coupled-oscillator system and the forced free shear layer

1988 • 1 citations

Cited By (0)

Loading...