Computation of normal forms for high dimensional non-linear systems and application to non-planar non-linear oscillations of a cantilever beam

Author:

Zhang Wei,Wang Fengxia,Zu Jean W.

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Acoustics and Ultrasonics,Condensed Matter Physics

Reference27 articles.

1. A simple global characterization for normal forms of singular vector fields;Elphick;Physica D,1987

2. Geometrical Method in the Theory of Ordinary Differential Equations;Arnold,1983

3. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields;Guckenheimer,1983

4. Normal Forms and Bifurcation of Planar Vector Fields;Chow,1994

5. R. Cushman, J. Sanders, Nilpotent normal forms and representation theory of sl(2,R), in: M. Golubitsky, J. Guckenheimer (Eds.), Multi-Parameter Bifurcation Theory, Contemporary Math. 56 (1986) 31–51.

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