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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Format: | Article |
Language: | English |
Published: |
Society of Industrial and Applied Mathematics (SIAM),
2011-01-18T15:26:23Z.
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Subjects: | |
Online Access: | Get fulltext |