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

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
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)
Files in This Item
There are no files associated with this item.
  • Hit : 118
  • Download : 0
  • Cited 0 times in thomson ci
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡClick to seewebofscience_button
⊙ Cited 19 items in WoSClick to see citing articles inrecords_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0