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Stochasticity in the Josephson map

Published online by Cambridge University Press:  13 March 2009

Y. Nomura ,
Y. H. Ichikawa  and
A. T. Filipov
Y. Nomura
Affiliation:
Fukui National College of Technology, Sabae 916, Japan
Y. H. Ichikawa
Affiliation:
College of Engineering, Chubu University, Kasugai 487, Japan
A. T. Filipov
Affiliation:
Joint institute for Nuclear Research, Dubna 141980, Russian Federation
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Abstract

The Josephson map describes the nonlinear dynamics of systems characterized by the standard map with a uniform external bias superposed. The intricate structures of the phase-space portrait of the Josephson map are examined here on the basis of the associated tangent map. A numerical investigation of stochastic diffusion in the Josephson map is compared with the renormalized diffusion coefficient calculated using the characteristic function. The global stochasticity of the Josephson map occurs at far smaller values of the stochastic parameter than is the case of the standard map.

Type
Research Article
Information
Journal of Plasma Physics , Volume 56 , Issue 3: Special Issue: Honour of David Montgomery , December 1996 , pp. 493 - 506
Copyright
Copyright © Cambridge University Press 1996

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References

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