2001/05/27 by A. I. Olemskoi, A. I. Olemskoĭ, Olemskoi, A. I.
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fault Detection and Control Systems #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.cond-mat/0105516
20 pages (LaTeX), 11 figures
arxiv created 2001/05/27 · openalex publication_date 2001/05/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Theory of nonlinear resonance, including stochastic one, is developed on the basis of the statistical field theory and using variables action-angle. Explicit expressions of action, proper frequency and nonlinearity parameter as functions of the system energy and the external signal frequency are found for the cases of nonlinear pendulum and double well potential.