https://doi.org/10.1007/s100510170218
Chaotic solitons in Sine-Gordon system
1
CCAST (World Laboratory), PO Box 8730, Beijing 100080, PR China
2
Department of Physics, Hunan Normal University, Changsha
410081, PR China
3
Department of Analysis and Measurement, Wuhan
University, Wuhan 430072, PR China
Corresponding author: a adcve@public.cs.hn.cn
Received:
25
December
2000
Published online: 15 May 2001
We extend the constant-variation method to the case of partial differential equations. Applying the method to periodically perturbed Sine-Gordon system, we find some novel solitons, which are embedded in a chaotic attractor and possess controllable velocity of motion. Taking periodically driven long Josephson junction as an example the corresponding chaotic region in parameter space and chaotic orbit are obtained analytically and numerically.
PACS: 05.45.Ac – Low-dimensional chaos / 02.60.Cb – Numerical simulation; solution of equations / 74.50.+r – Proximity effects, weak links, tunneling phenomena, and Josephson effects
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
