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Slow and fast invariant manifolds, and normal modes in a two degree-of-freedom structural dynamical system with multiple equilibrium states

  • Published:1998-03 Issue:2 Volume:33 Page:275-300
  • ISSN:0020-7462
  • Container-title:International Journal of Non-Linear Mechanics
  • language:en
  • Short-container-title:International Journal of Non-Linear Mechanics

Author:

Georgiou I.T.,Bajaj A.K.,Corless M.

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference24 articles.

1. Geometric singular perturbation theory for ordinary differential equations;Fenichel;Journal of Differential Equations,1979

2. Singular perturbations and integral manifolds;Knobloch;Journal of Mathematical and Physical Sciences,1984

3. Global Bifurcations and Chaos;Wiggins,1988

4. Non-linear dynamics and chaotic motions of a singularly perturbed non-linear viscoelastic beam;Georgiou,1993

5. Applications of Centre Manifold Theory;Carr,1981

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