Title
Ginzburg-Landau approximation for self-sustained oscillators weakly coupled on complex directed graphs
Abstract
•A reaction diffusion system with weak couplings on a directed graph is considered.•The system is set near the supercritical Hopf bifurcation.•The multiple-scales approach returns a Complex Ginzburg–Landau equation (CGLE).•The CGLE is employed to probe the stability of the periodic uniform solution.•Conditions for the symmetry breaking instability are derived and numerically tested.
Year
DOI
Venue
2018
10.1016/j.cnsns.2017.08.012
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Reaction-diffusion model,Complex Ginzburg–Landau equation,Pattern formation,Synchronization
Journal
56
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
1
4
Name
Order
Citations
PageRank
Francesca Di Patti100.68
Duccio Fanelli242.46
Filippo Miele300.34
T Carletti43714.43