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

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Horst Leipholzand nested parallelism have proved successful for regular computational patterns. For more complex and irregular cases, however, these methods often perform poorly because they consider only a subset of these costs. Although data-driven methods are gaining popularity for efficiently utilizing comput

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Mathematical Approximation Methodsparameters are changed, it will be necessary to use approximation methods in such difficult cases. These approximations have been developed in applied mathematics, mathematical physics (especially astronomy) or in control theory. We will now consider a few of these approximation methods.

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Sensitivity Equations and Variational Equationsequa­tions. The .. are parameters, and . is the time. Owing to perturbations, which as a special case should also consist of parameter changes, the perturbed state .. is obtained. If it is assumed that parameter changes cause .. to pass into .. = .. + .. and that the structure of the differential Eqs.

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Problems of the Mechanics of Rigid Bodies and of Systemsroximate methods derived in Section 1.6 can be applied. Let us restrict ourselves to .. This makes it possible to deal with the most important questions of modern stability theory without any great difficulty.

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Investigations in Phase Spacepurpose, which geometrically represent . and which have already been mentioned. The course of the solutions lying along the phase surfaces can be obtained from the properties of the phase surfaces. We may at least determine whether . exists or not.

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