Title :
Collective behaviour of sparsely connected oscillator network
Author :
Hatchett, Jon ; Uezu, Tatsuya
Author_Institution :
Hymans Robertson LLP, London
Abstract :
We study a sparsely connected oscillator network by using the methods of statistical mechanical, in particular, the replica method. First, we study the conjecture of Ichinomiya on the equivalence of a sparsely connected oscillator network with ferromagnetic interactions to a fully connected network with disordered interactions. Then, we study the dynamical behaviour of the oscillator network on the Bethe lattice by using dynamical replica theory. Theoretical results are confirmed by numerical simulations
Keywords :
graph theory; statistical mechanics; Bethe lattice; collective behaviour; disordered interactions; dynamical behaviour; dynamical replica theory; ferromagnetic interactions; fully connected network; sparsely connected oscillator network; statistical mechanics; Computational intelligence; Differential equations; Immune system; Lattices; Numerical simulation; Oscillators; Partial differential equations; Random variables; White noise;
Conference_Titel :
Foundations of Computational Intelligence, 2007. FOCI 2007. IEEE Symposium on
Conference_Location :
Honolulu, HI
Print_ISBN :
1-4244-0703-6
DOI :
10.1109/FOCI.2007.372164
