| Popis: |
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 |
