Title | ||
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Ginzburg-Landau approximation for self-sustained oscillators weakly coupled on complex directed graphs |
Abstract | ||
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•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 |
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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 Patti | 1 | 0 | 0.68 |
Duccio Fanelli | 2 | 4 | 2.46 |
Filippo Miele | 3 | 0 | 0.34 |
T Carletti | 4 | 37 | 14.43 |