The Hamiltonian formalism and a many-valued analogue of Morse theory

CONTENTS Introduction § 1. The Hamiltonian formalism. Simplest examples. Systems of Kirchhoff type. Factorization of the Hamiltonian formalism for the B-phase of 3He § 2. The Hamiltonian formalism of systems of hydrodynamic origin § 3. What is Morse (LSM) theory? § 4. Equations of Kirchhoff type and the Dirac monopole § 5. Many-valued functional and an analogue of Morse theory. The periodic problem for equations of Kirchhoff type. Chiral fields in an external field § 6. Many-valued functions on finite-dimensional manifolds. An analogue of Morse theory References