Synchronization Stability of Coupled Near-Identical Oscillator Network

We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a general fashion, we define master stability equations and associated master stability functions, which are independent of the network structure. In particular, we present several examples of coupled near-identical Lorenz systems configured in small networks (a ring graph and sequence networks) with a fixed parameter mismatch and a large Barabasi-Albert scale-free network with random parameter mismatch. We find that several different network architectures permit similar results despite various mismatch patterns. Key words: Synchronization Stability, Coupled Network Dynamics, Near-Identical Oscillators, Master Stability Functions.

• Type: Conference
• Year: 2009
• Where: COMPLEX
• Authors: Jie Sun, Erik M. Bollt, Takashi Nishikawa
• Keywords: COMPLEX 2009, Master Stability, Master Stability Functions, Parameter Mismatch, Theoretical Computer Science