Prediction of chaos in a Josephson junction by the Melnikov-function technique
M. Bartuccelli, P. L. Christiansen, N. F. Pedersen, M. P. Soerensen
DOI 10.1103/PhysRevB.33.4686 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
The Melnikov function for prediction of Smale horseshoe chaos is applied to the rf-driven Josephson junction. Linear and quadratic damping resistors are considered. In the latter case the analytic solution including damping and dc bias is used to obtain an improved threshold curve for the onset of chaos. The prediction is compared to new computational solutions. The Melnikov technique provides a good, but slightly low, estimate of the chaos threshold.
Similar papers
Onset of chaos in the rf-biased Josephson junction
similarity 0.94R. L. Kautz & J. C. Macfarlane
Source status unknown — claims are unverified
Onset of chaos in Josephson junctions with intermediate damping
similarity 0.93X. Yao et al.
Source status unknown — claims are unverified
Chaos in rf-driven long Josephson junctions in the presence of an external field
similarity 0.89Anatole Kenfack & Timoléon C. Kofané
Source status unknown — claims are unverified
Homoclinic chaos in the rf superconducting quantum-interference device
similarity 0.88W. C. Schieve et al.
Source status unknown — claims are unverified
Chaos and thermal noise in a Josephson junction coupled to a resonant tank
similarity 0.88James A. Blackburn et al.
Source status unknown — claims are unverified
Adiabatic chaos in Josephson-junction arrays
similarity 0.85A. A. Chernikov & G. Schmidt
Source status unknown — claims are unverified