Symplectic topology of integrable hamiltonian systems, I : Arnold-Liouville with singularities
Systèmes hamiltoniens k-symplectiques.
We study some properties of the k-symplectic Hamiltonian systems in analogy with the well-known classical Hamiltonian systems. The integrability of k-symplectic Hamiltonian systems and the relationships with the Nambu's statistical mechanics are given.
The Lax integrable differential-difference dynamical systems on extended phase spaces.
The -Lie property of the Jacobian as a condition for complete integrability.
The symplectic structure of curves in three dimensional spaces of constant curvature and the equations of mathematical physics
Universality of oscillation theory laws. Types and role of mathematical models.