Amplitude dynamics favors synchronization in complex networks.
In this paper we study phase synchronization in random complex networks of coupled periodic oscillators. In particular, we show that, when amplitude dynamics is not negligible, phase synchronization may be enhanced. To illustrate this, we compare the behavior of heterogeneous units with both amplitude and phase dynamics and pure (Kuramoto) phase oscillators. We find that in small network motifs the behavior crucially depends on the topology and on the node frequency distribution. Surprisingly, the microscopic structures for which the amplitude dynamics improves synchronization are those that are statistically more abundant in random complex networks. Thus, amplitude dynamics leads to a general lowering of the synchronization threshold in arbitrary random topologies. Finally, we show that this synchronization enhancement is generic of oscillators close to Hopf bifurcations. To this aim we consider coupled FitzHugh-Nagumo units modeling neuron dynamics.
DIEEI, Università degli Studi di Catania, Catania, 95125, Italy.
Lucia Valentina
LV
Gambuzza
Departamento de Física de la Materia Condensada, Universidad de Zaragoza, E-50009 Zaragoza, Spain.|Institute for Biocomputation and Physics of Complex Systems (BIFI), Universidad de Zaragoza, E-50018 Zaragoza, Spain.
Jesus
J
Gómez-Gardeñes
DIEEI, Università degli Studi di Catania, Catania, 95125, Italy.
Mattia
M
Frasca
D000818:Animals; D055592:Biophysical Phenomena; D003198:Computer Simulation; D006801:Humans; D008962:Models, Theoretical; D009415:Nerve Net / Q000502:physiology; D009474:Neurons / Q000502:physiology; D009991:Oscillometry