Desynchronization of pulse-coupled oscillators in cycle networks: A hybrid systems approach

2017 ◽  
Author(s):  
Claudia Caro-Ruiz ◽  
Andres Pavas ◽  
Eduardo Mojica-Nava
Keyword(s):  
Hybrid Systems ◽  
Coupled Oscillators ◽  
Systems Approach ◽  
Pulse Coupled Oscillators

Asynchronous states in networks of pulse-coupled oscillators

1993 ◽  
Vol 48 (2) ◽  
pp. 1483-1490 ◽  
Author(s):  
L. F. Abbott ◽  
Carl van Vreeswijk
Keyword(s):  
Coupled Oscillators ◽  
Pulse Coupled Oscillators

FREQUENCY SYNCHRONIZATION IN NETWORKS OF COUPLED OSCILLATORS, A MONOTONE DYNAMICAL SYSTEMS APPROACH

2009 ◽  
Vol 19 (12) ◽  
pp. 4107-4116 ◽  
Author(s):  
WEN-XIN QIN
Keyword(s):  
Dynamical Systems ◽  
Coupling Strength ◽  
Coupled Oscillators ◽  
Systems Approach ◽  
System Size ◽  
Coupling Scheme ◽  
Frequency Synchronization ◽  
Nonlinear Coupling ◽  
New Approach ◽  
Monotone Dynamical Systems

We propose a new approach to investigate the frequency synchronization in networks of coupled oscillators. By making use of the theory of monotone dynamical systems, we show that frequency synchronization occurs in networks of coupled oscillators, provided the coupling scheme is symmetric, connected, and strongly cooperative. Our criterion is independent of the system size, the coupling strength and the details of the connections, and applies also to nonlinear coupling schemes.

Desynchronization by phase slip patterns in networks of pulse-coupled oscillators with delays

2018 ◽  
Vol 227 (10-11) ◽  
pp. 1117-1128 ◽  
Author(s):  
Vladimir Klinshov ◽  
Leonhard Lücken ◽  
Serhiy Yanchuk
Keyword(s):  
Coupled Oscillators ◽  
Phase Slip ◽  
Pulse Coupled Oscillators
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