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RISAn Application of the Poincaré Map to the Stability of Nonlinear Normal Modes
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stability of periodic motions (nonlinear normal modes) in a nonlinear two-degree-of-freedom Hamiltonian system is studied by deriving an approximation for the Poincaré map via the Birkhoff-Gustavson ...
The Stability of Bifurcating Periodic Solutions in a Two-Degree-of-Freedom Nonlinear System
Publisher: The American Society of Mechanical Engineers (ASME)
The Origin of Stability Indeterminacy in a Symmetric Hamiltonian
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stability and bifurcation of periodic motions in a symmetric two-degree-of-freedom Hamiltonian system is studied by a reduction to a two-dimensional action-angle phase plane, via canonical ...
Stability of a Rigid Body With an Oscillating Particle: An Application of MACSYMA
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This problem is a generalization of the classical problem of the stability of a spinning rigid body. We obtain the stability chart by using: (i) the computer algebra system MACSYMA in conjunction ...