Titlebook: Stability Theory; An Introduction to t Horst Leipholz Textbook 1987Latest edition Springer Fachmedien Wiesbaden 1987 Energie.Instabilität.M

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Basic Concepts and Definitionsd references contain only . definition of stability as well as more or less extensive generalizations of it. If the different definitions included in these works are compared, the features they have in common are not always readily apparent.

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Basic Concepts and Definitionsquirements of particular problems. The multilateral meanings of the stability concept must be studied in detail, as well as the various methods of determining stability, before stability theory proper in mechanics may be examined. Previous studies on the subject are either monographs devoted to ques

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Linear Variational Equationsby ..(.) is autonomous. In addition, we select the stationary state as the undisturbed state, for which .. = 0 holds. We obtain it by solving the algebraic or transcendental system of equations ..(.., ..) = 0. It can have one or more solutions .., which do not depend on the time, but rather represen

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Mathematical Approximation Methods are even non-linear, or they can be partial differential equations. This can also be true for the variational equations. This leads to complicated problems. Since the central problem of stability theory is to estimate the solutions of the variational equations and to determine their behaviour when

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Problems of the Mechanics of Rigid Bodies and of SystemsKlotter (2.4), Minorsky (2.1), Kauderer (2.10), and Magnus (2.14). The following limited discussion is given in order to show the way in which the approximate methods derived in Section 1.6 can be applied. Let us restrict ourselves to .. This makes it possible to deal with the most important questio

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978-3-519-02105-6Springer Fachmedien Wiesbaden 1987

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Overview: 978-3-519-02105-6978-3-663-10648-7