Hamiltonian Normal Forms, Lie Series Method for Transformations - Infinite-Dimensional Hamiltonians

Hamiltonian Normal Forms, Lie Series Method for Transformations - Infinite-Dimensional Hamiltonians

Ross Dynamics Lab via YouTube Direct link

Example 1 degree of freedom system to simplify via normal forms

5 of 7

5 of 7

Example 1 degree of freedom system to simplify via normal forms

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Hamiltonian Normal Forms, Lie Series Method for Transformations - Infinite-Dimensional Hamiltonians

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

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