WIAS Preprint No. 1008, (2005)

Discretization of frequencies in delay coupled chaotic oscillators



Authors

  • Yanchuk, Serhiy

2010 Mathematics Subject Classification

  • 34K23 34K26 34K28 34C15

2008 Physics and Astronomy Classification Scheme

  • 05.4.Xt

Keywords

  • coupled oscillators, time delay, large delay, feedback

Abstract

We study the dynamics of two mutually coupled oscillators with a time delayed coupling. Due to the delay, the allowed frequencies of the oscillators are shown to be discretized. The phenomenon is observed in the case when the delay is much larger than the characteristic period of the solitary uncoupled oscillator.

Appeared in

  • Phys. Rev. E 72 (2005) 036205

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