Nonlinear Dynamics of Parametrically Excited Gyroscopic Systems | Zendy

N S Namachchivaya | Zendy

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Nonlinear Dynamics of Parametrically Excited Gyroscopic Systems

Author(s) -

N S Namachchivaya

Publication year - 2001

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/836628

Subject(s) - gyroscope , nonlinear system , bifurcation , dynamical systems theory , instability , control theory (sociology) , nonlinear dynamical systems , stability (learning theory) , noise (video) , statistical physics , dynamics (music) , computer science , physics , engineering , mechanics , aerospace engineering , artificial intelligence , acoustics , control (management) , quantum mechanics , image (mathematics) , machine learning

The primary objective of this project is to determine how some of the powerful geometric methods of dynamical systems can be applied to study nonlinear gyroscopic systems. We proposed to develop techniques to predict local and global behavior and instability mechanisms and to analyze the interactions between noise, stability, and nonlinearities inherent in gyroscopic systems. In order to obtain these results we use the method of normal forms, global bifurcation techniques, and various other dynamical systems tools

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