Relativistic chaos in time-driven linear and nonlinear oscillators
The relativistic dynamics of time-driven oscillators is studied by analyzing the resonance structure in the relativistic phase space. For the case of the harmonic oscillator and “hard” oscillators, a new series of resonances that are absent in the nonrelativistic description may appear when relativistic effects are taken into account. The overlap between these resonances can be considered as a signal for the onset of chaotic relativistic motion.
KeywordsHarmonic Oscillator Nonlinear Oscillator Chaotic Motion Oscillatory Motion Nonrelativistic Limit
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