Titlebook: Dynamical Systems X; General Theory of Vo V. V. Kozlov Book 2003 Springer-Verlag Berlin Heidelberg 2003 Hamilton equations.Hamilton-Jacobi

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General Vortex Theory,The aim in this chapter is to investigate the multidimensional Lamb equation, which interconnects a covector field .(., .), a vector field .(., .), and a function .(., .):

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Geodesics on Lie Groups with a Left-Invariant Metric,Let ..,...,.. be tangent vector fields on an .-dimensional configuration space . that are linearly independent at each point of . (or in some part of it). The commutators of these fields can be decomposed in the basis {..}, . where the coefficients .. are functions of the point . ∈ ..

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Book 2003nquestionably, the English are right. * H. Poincare, Science and Hypothesis Descartes, Leibnitz, and Newton As is well known, the basic principles of dynamics were stated by New- ton in his famous work Philosophiae Naturalis Principia Mathematica, whose publication in 1687 was paid for by his friend

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0938-0396 experimental science, while on the Continent, it has always been considered a more deductive and a priori science. Unquestionably, the English are right. * H. Poincare, Science and Hypothesis Descartes, Leibnitz, and Newton As is well known, the basic principles of dynamics were stated by New- ton

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