Title :
On Practical Stability of a Network of Coupled Nonlinear Limit-Cycle Oscillators
Author :
Panteley, Elena ; El-Ati, Ali
Author_Institution :
Lab. of Signals & Syst, Gif-sur-Yvette, France
Abstract :
We employ stability theory to analyse the synchronization behavior of a network of symmetrically couples Stuart-Landau oscillators and we show that if the coupling strength is sufficiently large, the networked system practically synchronizes to a common limit cycle. We give an analytical expression for the approximate synchronization frequency and we establish stability properties of the limit cycle.
Keywords :
graph theory; oscillators; stability; synchronisation; approximate synchronization frequency; coupled nonlinear limit-cycle oscillators; coupling strength; network stability theory; networked system; symmetric interconnection graph; symmetrically couples Stuart-Landau oscillators; synchronization behavior; Asymptotic stability; Couplings; Equations; Limit-cycles; Oscillators; Stability analysis; Synchronization; Nonlinear oscillators networks; Stuart-Landau model; practical stability; synchronization;
Conference_Titel :
Systems, Man, and Cybernetics (SMC), 2013 IEEE International Conference on
Conference_Location :
Manchester
DOI :
10.1109/SMC.2013.267
