A computer-assisted proof of chaos in Josephson junctions

Xiao-Song Yang and Qingdu Li

Chaos, Solitons & Fractals, 2006, vol. 27, issue 1, 25-30

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.

Date: 2006
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:1:p:25-30

DOI: 10.1016/j.chaos.2005.04.017

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