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Limit Cycles in the Josephson Equation

Jan A. Sanders, Richard Cushman

Source record

Source: Crossref

Published: May 1, 1986

DOI: 10.1137/0517039

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Source abstract

Using techniques from bifurcation theory, we find the bifurcation diagram and corresponding phase portraits on TS1TS^1 of the Josephson equation: ϕ˙=y,y˙=−sin⁡ϕ+ε(a−(1+γcos⁡ϕ)y)\dot \phi = y,\dot y = - \sin \phi + \varepsilon (a - (1 + \gamma \cos \phi )y).

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Limit Cycles in the Josephson Equation — Mathematical Frontier Network