Localized Instability and Attraction along Invariant Manifolds

We derive a simple criterion for transverse instabilities along a general invariant manifold of a multidimensional dynamical system. The criterion requires an appropriately defined normal infinitesimal Lyapunov exponent (NILE) to be positive over regions of transverse instability on the manifold. Un...

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Bibliographic Details
Main Authors: Haller, George (Author), Sapsis, Themistoklis (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering (Contributor)
Format: Article
Language:English
Published: Society of Industrial and Applied Mathematics (SIAM), 2011-01-18T15:26:23Z.
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