Stabilization of Steady States in Oscillators Coupled by a Partial Time-Varying Delay Connection

Conference: NDES 2012 - Nonlinear Dynamics of Electronic Systems
07/11/2012 - 07/13/2012 at Wolfenbüttel, Germany

Proceedings: NDES 2012

Pages: 4Language: englishTyp: PDF

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Sugitani, Yoshiki; Konishi, Keiji; Hara, Naoyuki (Dept. of Electrical and Information Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531, Japan)

The present paper investigates a stabilization of unstable steady states in a pair of limit-cycle oscillators coupled by a partial time-varying delay connection. This connection has two connection delays: time-varying delay and time-invariant delay. A linear stability analysis allows us to obtain the stability regions in a connection parameter space. It is shown that the partial time-varying delay connection enlarges the stability region as compared with the conventional time-invariant delay connection. The analytical results are confirmed by numerical simulations.