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Stability Properties of a Damped Nonlinear Oscillator Including Persistent Perturbations
Author(s) -
Maass W.
Publication year - 1975
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19754870204
Subject(s) - nonlinear system , physics , stability (learning theory) , classical mechanics , lyapunov function , statistical physics , quantum mechanics , computer science , machine learning
The equation of motion of a damped nonlinear multidimensional oscillator disturbed by some (stochastic) persistent force is investigated for Lyapunov stability. With the aid of stability statements on the stationary solutions of the undisturbed equation, estimations for the trajectories are found. Applications of this oscillator as useful model in physics are mentioned.