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Dynamics of three coupled limit cycle oscillators with application to artificial intelligence. (English) Zbl 1221.34099

Summary: We study a system of three limit cycle oscillators which exhibits two stable steady states. The system is modeled by both phase-only oscillators and by van der Pol oscillators. We obtain and compare the existence, stability and bifurcation of the steady states in these two models. This work is motivated by application to the design of a machine which can make decisions by identifying a given initial condition with its associated steady state.

MSC:

34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
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