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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].
Richard Rand. 2017. \u201cDynamics of Two Coupled van der Pol Oscillators with Delay Coupling Revisited\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F5): .
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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Total Score: 132
Country: United States
Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision
Authors: Mark Gluzman, Richard Rand (PhD/Dr. count: 0)
View Count (all-time): 164
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Publish Date: 2017 08, Thu
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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].
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