Add to ORKGWe use group-theoretic methods to analyze phase-locking in a ring of identical integrate-and-fire oscillators with distributed delays. It is shown how certain phase-locked solutions emerge through symmetry breaking bifurcations as some characteristic delay of the system is varied. The reduction to a phase-coupled model in the weak coupling regime is discussed
Networks of coupled oscillators arise in a variety of areas. Clustering is a type of oscillatory net...
We analyze the physical mechanisms leading either to synchronization or to the formation of spatiote...
We use geometric dynamical systems methods to derive phase equations for networks of weakly connecte...
In this paper, a general approach for studying rings of coupled biological oscillators is presented....
Abstract. In this paper, a general approach for studying rings of coupled biological oscillators is ...
We describe the appearance and stability of spatiotemporal periodic patterns (rotating waves) in uni...
For an ensemble of globally coupled oscillators with time-delayed interactions, an explicit relation...
We present a framework for analysing arbitrary networks of identical dissipative oscillators assumin...
We investigate the effect of coupling delays on the synchronization properties of several network mo...
We investigate the relation between the dynamics of a single oscillator with delayed self-feedback a...
The final publication is available at Elsevier via http://dx.doi.org/10.1016/j.physd.2017.09.004 © 2...
A dynamical theory of spike train transitions in networks of pulse-coupled integrateand- fire (IF) n...
A complete classification of dynamics of a population of a inhibitory pulse-coupled oscillators is p...
In recent years there has been an increasing interest in studying time-delayed coupled networks of o...
We investigate the effect of coupling delays on the synchronization properties of several network mo...
Networks of coupled oscillators arise in a variety of areas. Clustering is a type of oscillatory net...
We analyze the physical mechanisms leading either to synchronization or to the formation of spatiote...
We use geometric dynamical systems methods to derive phase equations for networks of weakly connecte...
In this paper, a general approach for studying rings of coupled biological oscillators is presented....
Abstract. In this paper, a general approach for studying rings of coupled biological oscillators is ...
We describe the appearance and stability of spatiotemporal periodic patterns (rotating waves) in uni...
For an ensemble of globally coupled oscillators with time-delayed interactions, an explicit relation...
We present a framework for analysing arbitrary networks of identical dissipative oscillators assumin...
We investigate the effect of coupling delays on the synchronization properties of several network mo...
We investigate the relation between the dynamics of a single oscillator with delayed self-feedback a...
The final publication is available at Elsevier via http://dx.doi.org/10.1016/j.physd.2017.09.004 © 2...
A dynamical theory of spike train transitions in networks of pulse-coupled integrateand- fire (IF) n...
A complete classification of dynamics of a population of a inhibitory pulse-coupled oscillators is p...
In recent years there has been an increasing interest in studying time-delayed coupled networks of o...
We investigate the effect of coupling delays on the synchronization properties of several network mo...
Networks of coupled oscillators arise in a variety of areas. Clustering is a type of oscillatory net...
We analyze the physical mechanisms leading either to synchronization or to the formation of spatiote...
We use geometric dynamical systems methods to derive phase equations for networks of weakly connecte...