Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling Revisited

Richard Rand

Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling Revisited

Richard Rand * §

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Cornell University

Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling Revisited

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Abstract

The problem of two van der Pol oscillators coupled by velocity delay terms was studied by Wirkus and Rand in 2002 [5]. The small-𝜺𝜺 analysis resulted in a slow flow which contained delay terms. To simplify the analysis, Wirkus and Rand followed a common procedure of replacing the delay terms by non-delayed terms, a step said to be valid for small 𝜺𝜺, resulting in a slow flow which was an ODE rather than a DDE (delay-differential equation). In the present paper we consider the same problem but leave the delay terms in the slow flow, there by offering an evaluation of the approximate simplification made in [5].

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Richard Rand. 2017. "Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling Revisited". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F5).

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GJSFR Volume 17 Issue F5

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 00A69

Submission ReceivedMay 24, 2017
Peer Review Double Blind
Handling Editor
Accepted June 21, 2017
Published July 2, 2017

Version of record

v1.2

Issue date

August 24, 2017

Language

English

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Article Matrices

Total Score: 176

Country: United States

Subject: Global Journal of Science Frontier Research

Authors: Mark Gluzman, Richard Rand (PhD/Dr. count: 0)

View Count (all-time): 256

Total Views (Real + Logic): 756

Total Downloads (simulated): 36

Publish Date: 2017 07, Sun

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Total Views: 756

Total Downloads: 36

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