How optimal synchronization of oscillators depends on the network structure and the individual dynamical properties of the oscillators

Rene Markovič (Author), Marko Gosak (Author), Marko Marhl (Author)

Abstract

The problem of making a network of dynamical systems synchronize onto a common evolution is the subject of much ongoing research in several scientific disciplines. It is nowadays a well-known fact that the synchronization processes are gradually in influenced by the interaction topology between the dynamically interacting units. A complex coupling configuration can significantly affect the synchronization abilities of a networked system. However, the question arises what is the optimal network topology that provides enhancement of the synchronization features under given circumstances. In order to address this issue we make use of a network model in which we can smoothly tune the topology from a highly heterogeneous and efficient scale-free network to a homogeneous and less efficient network. The network is then populated with Poincaré oscillators, a paradigmatic model for limit-cycle oscillations. This oscillator model exhibits a parameter that enables changes of the limit cycle attraction and is thus immediately related to flexibility/rigidity properties of the oscillator. Our results reveal that for weak attractions of the limit cycle, intermediate homogeneous topology ensures maximal synchronization, whereas highly heterogeneous scale-free topology ensures maximal synchronization for strong attractions of the limit cycle. We argue that the flexibility/rigidity of individual nodes of the networks defines the topology, where maximal global coherence is achieved.

Keywords

kompleksne mreže;sinhronizacija;mrežna topologija;ne zaključna dela;complex networks;synchronization;network topology;

Data

Language:	English
Year of publishing:	2013
Typology:	1.08 - Published Scientific Conference Contribution
Organization:	UM PEF - Faculty of Education
UDC:	53
COBISS:	19739400
ISSN:	1742-6596
Views:	1447
Downloads:	383
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	Fizika;Sinhronizacija;Topologija;
URN:	URN:SI:UM:
Type (COBISS):	Article
Pages:	Str. 012044-1-012044-4
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;physics;fizika;
DOI:	10.1088/1742-6596/410/1/012044
ID:	1440298