Abstract
Canonical-dissipative oscillatory systems subjected to fluctuations are considered. It is shown how to estimate key parameters of such systems using the first and second moments of energy fluctuations and the short-time mean square displacement of velocity fluctuations. The key parameters describe the strength of the deterministic attractive forces that drive the oscillator dynamics towards a limit cycle and the strength of the random perturbations that drive the oscillator dynamics away from the limit cycle. A test statistics is proposed to assess the validity of the canonical-dissipative modeling approach.
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