Spectral analysis of nonlinear systems | Zendy

Sandy Black | Zendy; David Christie | Zendy; N. Finlayson | Zendy

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Spectral analysis of nonlinear systems

Author(s) -

Sandy Black,

David Christie,

N. Finlayson

Publication year - 2010

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam1002111b

Subject(s) - nonlinear system , spectral analysis , displacement (psychology) , differential (mechanical device) , pendulum , spectral properties , control theory (sociology) , rayleigh scattering , statistical physics , mathematics , computer science , physics , optics , thermodynamics , quantum mechanics , psychology , control (management) , artificial intelligence , spectroscopy , psychotherapist , astrophysics

Two separate nonlinear differential systems are investigated in the frequency and time domains using plots generated by Mathematica. Spectral density plots are of particular interest as they can conveniently demonstrate the effect on a system of changing one of the parameters. The effects of the starting displacement on the nonlinear pendulum, and the behavior of the Lorenz system when the Rayleigh number is varied, are considered in this way

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