NONLINEAR RESONANCE AND CHAOS IN THE RELATIVISTIC PHASE-SPACE FOR DRIVEN NONLINEAR-SYSTEMS

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We investigate the relativistic dynamics of a time-driven nonlinear system by analyzing the resonance structure in the relativistic phase space. It is shown that, when relativistic effects become appreciable, resonances that exist in the nonrelativistic description may be shifted or suppressed and resonances that are absent in the nonrelativistic description may be induced to appear. When these relativity-induced resonances overlap, the system exhibits chaotic relativistic motion. Numerical data that demonstrate such relativistic effects are presented with model systems of the driven Duffing oscillator and the driven Morse oscillator.
Publisher
AMERICAN PHYSICAL SOC
Issue Date
1995-07
Language
ENG
Article Type
Article
Keywords

FREE-ELECTRON LASER; DYNAMICS; INSTABILITY; OSCILLATOR; FIELD

Citation

PHYSICAL REVIEW E, v.52, no.1, pp.473 - 480

ISSN
1063-651X
DOI
10.1103/PhysRevE.52.473
URI
http://hdl.handle.net/10203/74713
Appears in Collection
PH-Journal Papers(저널논문)
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