00 3 v 1 2 8 M ar 1 99 3 DYNAMICAL SYSTEMS ACCEPTING THE NORMAL SHIFT
نویسنده
چکیده
Classical Bianchi-Lie, Bäcklund and Darboux transformations are considered. Their generalizations for the dynamical systems are discussed. For the transformation being the generalization of the normal shift the special class of dynamical systems is defined. The effective criterion for separating such systems in form of partial differential equations is found.
منابع مشابه
ar X iv : s ol v - in t / 9 40 40 03 v 1 1 8 A pr 1 99 3 PROBLEM OF METRIZABILITY FOR THE DYNAMICAL SYSTEMS ACCEPTING THE NORMAL SHIFT
The problem of metrizability for the dynamical systems accepting the normal shift is formulated and solved. The explicit formula for the force field of metrizable Newtonian dynamical system¨r = F(r, ˙ r) is found.
متن کاملar X iv : p at t - so l / 9 40 40 01 v 1 4 A pr 1 99 3 MULTIDIMENSIONAL
The dynamical systems of the form¨r = F(r, ˙ r) in R n accepting the normal shift are considered. The concept of weak normality for them is introduced. The partial differential equations for the force field F(r, ˙ r) of the dynamical systems with weak and complete normality are derived.
متن کاملar X iv : m at h / 98 04 13 2 v 1 [ m at h . Q A ] 2 8 A pr 1 99 8 AFFINE WEYL GROUPS , DISCRETE DYNAMICAL SYSTEMS AND PAINLEVÉ EQUATIONS
A new class of representations of affine Weyl groups on rational functions are constructed, in order to formulate discrete dynamical systems associated with affine root systems. As an application, some examples of difference and differential systems of Painlevé type are discussed.
متن کاملar X iv : a st ro - p h / 94 05 04 9 v 1 2 4 M ay 1 99 3 COMPLETE NORMALITY CONDITIONS FOR THE DYNAMICAL SYSTEMS ON RIEMANNIAN MANIFOLDS
New additional equations for the Newtonian dynamical systems on Riemannian manifolds are found. They supplement the previously found weak normality conditions up to the complete normality conditions for Newtonian dynamical systems.
متن کاملar X iv : h ep - l at / 9 71 00 86 v 1 2 4 O ct 1 99 7 1 Applications of the Eigenmodes of the Staggered Dirac Operator
We have constructed the lowest few eigenvectors of the staggered Dirac operator on SU (3) gauge configurations, both quenched and dynamical. We use these modes to study the topological charge and to construct approximate hadronic correlators.
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تاریخ انتشار 1993