Dynamics of two coupled van der pol oscillators with delay coupling

Stephen Wirkus; Richard Rand

doi:10.1115/DETC97/VIB-4019

Dynamics of two coupled van der pol oscillators with delay coupling

Stephen Wirkus, Richard Rand

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

Abstract

We investigate the dynamics of a system of two van der Pol oscillators with delayed velocity coupling. We use the method of averaging to reduce the problem to the study of a slow-flow in three dimensions. In particular we study the stability of the inphase and out-of-phase modes, and the bifurcations associated with changes in their stability. Our interest in this system is due to its relevance to coupled laser oscillators.

Original language	English (US)
Title of host publication	16th Biennial Conference on Mechanical Vibration and Noise
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791880425
DOIs	https://doi.org/10.1115/DETC97/VIB-4019
State	Published - 1997
Externally published	Yes
Event	ASME 1997 Design Engineering Technical Conferences, DETC 1997 - Sacramento, United States Duration: Sep 14 1997 → Sep 17 1997

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	1C-1997

Conference

Conference	ASME 1997 Design Engineering Technical Conferences, DETC 1997
Country/Territory	United States
City	Sacramento
Period	9/14/97 → 9/17/97

ASJC Scopus subject areas

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modeling and Simulation

Access to Document

10.1115/DETC97/VIB-4019

Cite this

Dynamics of two coupled van der pol oscillators with delay coupling. / Wirkus, Stephen; Rand, Richard.
16th Biennial Conference on Mechanical Vibration and Noise. American Society of Mechanical Engineers (ASME), 1997. V01CT12A007 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1C-1997).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Wirkus, S & Rand, R 1997, Dynamics of two coupled van der pol oscillators with delay coupling. in 16th Biennial Conference on Mechanical Vibration and Noise., V01CT12A007, Proceedings of the ASME Design Engineering Technical Conference, vol. 1C-1997, American Society of Mechanical Engineers (ASME), ASME 1997 Design Engineering Technical Conferences, DETC 1997, Sacramento, United States, 9/14/97. https://doi.org/10.1115/DETC97/VIB-4019

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AB - We investigate the dynamics of a system of two van der Pol oscillators with delayed velocity coupling. We use the method of averaging to reduce the problem to the study of a slow-flow in three dimensions. In particular we study the stability of the inphase and out-of-phase modes, and the bifurcations associated with changes in their stability. Our interest in this system is due to its relevance to coupled laser oscillators.

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Dynamics of two coupled van der pol oscillators with delay coupling

Abstract

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