Pattern selection in oscillatory media with global coupling
Centre for Nonlinear Phenomena and Complex Systems, CP231,
Université Libre de Bruxelles - Brussels, Belgium
2 Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-5, 14195, Berlin, Germany
Accepted: 1 May 1998
Populations of oscillators that present both local and global coupling can exhibit diffusive instabilities leading to a rich variety of wave patterns. We investigate the selection of these structures near a supercritical Hopf bifurcation described by a modified complex Ginzburg-Landau equation.
PACS: 47.54.+r – Pattern selection; pattern formation / 82.40.Bj – Oscillations, chaos, and bifurcations in homogeneous nonequilibrium reactors / 82.20.Mj – Nonequilibrium kinetics
© EDP Sciences, 1998