Article ID Journal Published Year Pages File Type
1892534 Chaos, Solitons & Fractals 2006 6 Pages PDF
Abstract
This paper presents a rigorous verification of chaos in the RCLSJ model for studying dynamics of the Josephson junction. By carefully picking a suitable cross-section with respect to the attractor, it is shown that for the corresponding Poincaré map P obtained in terms of second return time, there exists a closed invariant set Λ in this cross-section such that P∣Λ is semi-conjugate to a 2-shift map, thus showing existence of chaos in the RCLSJ model.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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A computer-assisted proof of chaos in Josephson junctions
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