scholarly journals Synchronization of oscillators with hyperbolic chaotic phases

2021 ◽  
Vol 29 (1) ◽  
Keyword(s):  
Synchronization Of Oscillators

Synchronization of Oscillators

1947 ◽  
Vol 35 (12) ◽  
pp. 1415-1423 ◽  
Author(s):  
R.D. Huntoon ◽  
A. Weiss
Keyword(s):  
Synchronization Of Oscillators

Synchronization of Oscillators

2011 ◽  
pp. 247-260
Author(s):  
Jean B. Chabi Orou
Keyword(s):  
Chaotic Synchronization ◽  
Simple Approach ◽  
Short Introduction ◽  
Synchronization Process ◽  
The Stability ◽  
In The Beginning ◽  
Influence Of Noise ◽  
Synchronization Of Oscillators

A simple approach is proposed in this chapter to get started on the synchronization of oscillators study. The basics are given in the beginning such that the reader can get quickly familiar with the main concepts which lead to many kinds of synchronization configurations. Chaotic synchronization is next addressed and is followed by the stability of the synchronization issue. Finally, a short introduction of the influence of noise on the synchronization process is mentioned.

Synchronization of oscillators in complex networks

Pramana ◽  
2008 ◽  
Vol 70 (6) ◽  
pp. 1175-1198 ◽  
Author(s):  
Louis M. Pecora
Keyword(s):  
Complex Networks ◽  
Synchronization Of Oscillators

PHASE SYNCHRONIZATION AND COHERENCE ANALYSIS: SENSITIVITY AND SPECIFICITY

2007 ◽  
Vol 17 (10) ◽  
pp. 3551-3556 ◽  
Author(s):  
BJÖRN SCHELTER ◽  
MATTHIAS WINTERHALDER ◽  
JENS TIMMER ◽  
JÜRGEN KURTHS
Keyword(s):  
Nonlinear Dynamics ◽  
Transfer Function ◽  
Sensitivity And Specificity ◽  
Stochastic Systems ◽  
Phase Synchronization ◽  
Coherence Analysis ◽  
Analysis Techniques ◽  
Linear Stochastic Systems ◽  
Synchronization Of Oscillators

In Nonlinear Dynamics synchronization of oscillators is examined. Alternatively for linear stochastic systems, coherence analysis is utilized to detect interdependencies in transfer function systems. In contrast to the latter, oscillators continue oscillating in the absence of interaction between the processes. For transfer function systems the output ceases to exist without an input. Analysis techniques able to differentiate these considerably different classes of dynamics are desired in various applications. We show that conclusions from analysis techniques to the underlying dynamics have to be taken with care due to missing specificity. Moreover, we present an approach towards higher specificity.

Diffusive Interaction Leading to Dephasing of Coupled Neural Oscillators

1997 ◽  
Vol 07 (04) ◽  
pp. 869-876 ◽  
Author(s):  
Seung Kee Han ◽  
Christian Kurrer ◽  
Yoshiki Kuramoto
Keyword(s):  
Asymptotic Behavior ◽  
Phase Velocity ◽  
Limit Cycle ◽  
Coupled Oscillators ◽  
Control Parameter ◽  
Critical Value ◽  
Homoclinic Bifurcation ◽  
Neural Oscillators ◽  
Diffusive Coupling ◽  
Synchronization Of Oscillators

It is usually believed that strong diffusive coupling in one of the dynamical variables is well-suited for imposing synchronization of oscillators. But it was recently shown that weak diffusive coupling, counter-intuitively, can lead to dephasing of coupled neural oscillators. In this paper, we investigate how diffusively coupled oscillators become dephasing. For this we study a system of coupled neural oscillators on a limit cycle generated through a homoclinic bifurcation. We examine the asymptotic behavior of diffusive coupling as the control parameter approaches the critical value for which the homoclinic bifurcation occurs. In this study, we show that the gradient of phase velocity near the limit cycle is essential in generating dephasing through diffusive interaction.

scholarly journals Synchronization of oscillators via active media

2019 ◽  
Vol 99 (5) ◽  
Author(s):  
Derek Orr ◽  
Bard Ermentrout
Keyword(s):  
Active Media ◽  
Synchronization Of Oscillators
Sign in / Sign up

Export Citation Format

Share Document