Талалаев Д.В. - Algebraic Structures in Integrable Systems - 5. Hamiltonian Vector Fields

Symplectic Structure. Hamiltonian Vector Fields Талалаев Дмитрий Валерьевич 00:17 Previous Lecture: Summary 09:14 Theorem (Poisson Bivector: Equivalent Condition in Terms of Differential Forms): Proof 23:08 Examples of Symplectic Structures 34:41 Hamiltonian Vector Fields 38:59 Commutator of Vector Fields (Lie Bracket of Vector Fields) 49:29 Lemma (Poisson Bracket of Functions and Lie Bracket of Vector Fields) 01:08:06 Integrals of Motion and Casimir Functions