Dynamics of four coupled phase-only oscillators

• DOI: 10.1016/j.cnsns.2006.06.013
• Publication Date: 2006-08-29T12:23:44Z
• Authors: Richard Rand; Jeffrey Wong
• Keywords: Dynamics; Phase locking

Abstract We study the dynamics of a system of four coupled phase-only oscillators. This system is analyzed using phase difference variables in a phase space that has the topology of a three-dimensional torus. The system is shown to exhibit numerous phase-locked motions. The qualitative dynamics are shown to depend upon a parameter representing coupling strength. This work has application to MEMS artificial intelligence decision-making devices.