Abstract
The lectures begin with a brief introduction to chaotic dynamics; then rapidly sketch how the ideas apply to Hamiltonian mechanics. Familiarity with Hamilton’s equations, as would be encountered in elementary mechanics courses, is assumed. The treatment of geodesic flows in Section 3 is somewhat in the spirit of symplectic mechanics, but classical notation is emphasized. The presentation is rigorous only in Section 1, which is quite elementary. References for further study are provided.
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Churchill, R.C. (1994). A Short Course on Chaotic Hamiltonian Systems. In: Hobill, D., Burd, A., Coley, A. (eds) Deterministic Chaos in General Relativity. NATO ASI Series, vol 332. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9993-4_3
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DOI: https://doi.org/10.1007/978-1-4757-9993-4_3
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