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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Society of Industrial and Applied Mathematics (SIAM)
2011
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| Online Access: | http://hdl.handle.net/1721.1/60654 https://orcid.org/0000-0003-0302-0691 |