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Dynamics of four coupled phase-only oscillators

✍ Scribed by Richard Rand; Jeffrey Wong


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
229 KB
Volume
13
Category
Article
ISSN
1007-5704

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✦ Synopsis


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.


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Dynamics of a ring network of phase-only
✍ Jacqueline Bridge; Richard Rand; Si Mohamed Sah πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 406 KB

## a b s t r a c t We investigate the existence, stability and bifurcation of phase-locked motions in a ring network consisting of phase-only oscillators arranged in multiple simple rings (sub-rings) which are themselves arranged in a single large ring. In the case of networks with three or four s