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Nonlinear Dynamics of Parametrically Excited Gyroscopic Systems

Technical Report ·
DOI:https://doi.org/10.2172/836628· OSTI ID:836628
 [1]
  1. University of Illinois at Urbana-Champaign, Urbana, IL

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.

Research Organization:
University of Illinois at Urbana-Champaign, Urbana, IL (US)
Sponsoring Organization:
USDOE Office of Energy Research (ER) (US)
DOE Contract Number:
FG02-97ER14795
OSTI ID:
836628
Country of Publication:
United States
Language:
English

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