摘要:

It is proved that if the spectrum and spectral measure of a semi-infinite Jacobi matrixL(t) change appropriately, thenL(t) satisfies a generalized Lax equation of the form, where Φ(λ, t) is a polynomial witht-dependent coefficients andA(L(t), t) is a skew-symmetric matrix which is determined by the evolution of the spectral data. Such an equation is equivalent to a wide class of generalized Toda lattices. The theory of Jacobi matrices gives rise to the procedure of solution of the corresponding Cauchy problem by the inverse spectral problem method. The linearization of this nonlinear equation in terms of the moments is established.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.2.1

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

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 maps, we establish that, for certain types of boundary value dependence, a similar quantitative and qualitative universality is also observed in the stratification and bifurcations of solutions.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.2.2

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.2.3

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

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 invariant tori, the majority of which carry quasi-periodic motions with 7 independent frequences.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.2.4

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

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.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.2.5

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

The three ansatzes are constructed for the nonlinear Dirac equation.

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.2.6

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

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

ISSN:1402-9251    

DOI:10.2991/jnmp.1994.1.2.7

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor