Published December 1984
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Chaos in dynamical systems by the Poincaré-Melnikov-Arnold method
- Creators
- Marsden, Jerrold E.
- Other:
- Chandra, Jagdish
Chicago
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Abstract
Methods proving the existence of chaos in the sense of Poincaré-Birkhoff-Smale horseshoes are presented. We shall concentrate on explicitly verifiable results that apply to specific examples such as the ordinary differential equations for a forced pendulum, and for superfluid He and the partial differential equation describing the oscillations off a beam. Some discussion of the difficulties the method encounters near an elliptic fixed point is given.
Additional Information
© 1984, SIAM. This report was prepared as an account of work sponsored by the Center of Pure and Applied Mathematics. Neither the Center nor the Department of Mathematics, makes any warranty expressed or implied, or assumes any legal liability or responsability for the accuracy, completeness or usefulness of any information or process disclosed.Attached Files
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Additional details
- Eprint ID
- 19694
- Resolver ID
- CaltechAUTHORS:20100830-082935945
- Department of Energy (DOE)
- DE-AT03-02ER12097
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