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Titlebook: Dynamical Systems VII; Integrable Systems N V. I. Arnol’d,S. P. Novikov Book 1994 Springer-Verlag Berlin Heidelberg 1994 Hamiltonian System

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,Glas und seine vielfältigen Anwendungen,A pair (.) consisting of a 2.-dimensional manifold . together with a closed 2-form . is called a . if the form . is nondegenerate, i.e. if .. = . ∧ · ... · . ≢ 0.
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IntroductionA nonholonomic manifold is a smooth manifold equipped with a smooth distribution. This distribution is in general nonintegrable. The term ‘holonomic’ is due to Hertz and means ‘universal’, ‘integral’, ‘integrable’ (literally, . -entire, . - law). ‘Nonholonomic’ is therefore a synonym of ‘nonintegrable’.
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Integrable Systems and Finite-Dimensional Lie AlgebrasIn this survey we consider integrable systems whose construction makes use of root systems of simple (usually finite-dimensional) Lie algebras.
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Herz, Kreislauf und Hämodynamiknomic distribution. The solutions to this problem, the nonholonomic geodesics, satisfy the Euler-Lagrange equations of a conditional problem. They generate a nonholonomic geodesic flow defined on the mixed bundle which is the direct sum of the distribution and its annihilator in the cotangent bundle
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Intravenöse Anästhetika und Benzodiazepinet-invariant nonholonomic distribution. Our main subject is the study of the nonholonomic geodesic flow (NG-flow), more precisely, of the nonholonomic sphere, of the wave front (Section 1), and of the general dynamical properties of the flow (Section 2). The mixed bundle for Lie groups is the direct
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