Journal of Nonlinear Mathematical Physics

We show that for a class of boundary value problems, the space of initial functions can be stratified dependently on the limit behavior (as the time variable tends to infinity) of solutions. Using known results on universal phenomena appearing in bifurcations of one parameter families of one-dimensional...

This article is a direct continuation of our paper which was published in the Journal of Nonlinear Mathematical Physics 1994, V.1, N 1, 75­113.

We consider a constrained system of four rigid bodies located in axisymmetric potential and gyroscopic force fields and interacting by means of angular velocities. We describe an integrable case (not in Liouville sence!) when 12-dimensional phase space of the above system is fibered by the coisotropic...

Analyzing the spectrum of the Schrödinger-Pauli Hamiltonian for a particle of spin s > 1/2 we find that some energy levels are degenerated while the other are not. We investigate the symmetry (which is neither super- nor parasymmetry) causing this specific degeneration.

The three ansatzes are constructed for the nonlinear Dirac equation.

We construct nonlinear representations of the Poincaré, Galilei, and conformal algebras on a set of the vector-functions = (E, H). A nonlinear complex equation of Euler type for the electromagnetic field is proposed. The invariance algebra of this equation is found.