Abstract We have investigated the fluxon dynamical behaviour in a one-dimensional parallel array of small Josephson junctions in the presence of an externally applied magnetic field. In the case of high damping, the system is in stable states. On the contrary, in the case of low damping, bifurcation and chaotic phenomena have been observed. Control of chaos is achieved by a delayed feedback mechanism, which drives the chaotic system into a selected unstable periodic orbit embedded within the associated strange attractor. It is attractive to control chaos to a periodic state, rather than operating always outside the device parameter space where chaos dominates.
Received: 25 September 2002
Revised: 30 December 2002
Accepted manuscript online:
Fund: Project supported by the Foundation for University Key Teachers from the Ministry of Education of China, and the Foundation of Shanghai Leading Academic Discipline Program, China.
Cite this article:
Du Hao-Chen (杜浩晨), Liao Hong-Yin (廖红印), Zhou Shi-Ping (周世平) Bifurcation, chaotic phenomena and control of chaos in a one-dimensional discrete Josephson lattice 2003 Chinese Physics 12 557
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