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...
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
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.