Discretization of frequencies in delay coupled oscillators

Serhiy Yanchuk

doi:10.1103/PhysRevE.72.036205

Discretization of frequencies in delay coupled oscillators

Serhiy Yanchuk

Weierstrass Institute for Applied Analysis and Stochastics
Humboldt University of Berlin
NASU - Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the dynamics of two mutually coupled chaotic 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.

Original language	English
Article number	036205
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	72
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.72.036205
Publication status	Published - Sep 2005
Externally published	Yes

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10.1103/PhysRevE.72.036205

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abstract = "We study the dynamics of two mutually coupled chaotic 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.",

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AB - We study the dynamics of two mutually coupled chaotic 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.

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Discretization of frequencies in delay coupled oscillators

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