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Normal forms for general ODEs
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Classroom Contents
Hamiltonian Normal Forms, Lie Series Method for Transformations - Infinite-Dimensional Hamiltonians
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- 1 Normal forms for general ODEs
- 2 Hamiltonian normal forms
- 3 Lie transformation method for finding a canonical transformation
- 4 Simplifying the Hamiltonian function via the Lie series method
- 5 Example 1 degree of freedom system to simplify via normal forms
- 6 Infinite-dimensional Hamiltonian systems (PDEs)
- 7 Example: shallow water equations (Korteweg-de Vries or KdV equation)
