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Applied Methods In The Theory Of Nonlinear Oscillations

In this post, we will see the book Applied Methods in The Theory of Nonlinear Oscillations by V. M. Starzhinskii. The book is aimed at engineers with a strong mathematical background, scientists working in mechanics and applied mathematics, and undergraduate and postgraduate students of Applied Physics and Physics and Mathematics departments. The book is based on a course of lectures presented by the author to engineering students at the Mechanics and Mathematics Department of Moscow University in 1956-1976. The book has two parts Part One of the book is devoted to the combination of the Lyapunov, Poincare, and averaging methods as applied to the analysis of oscillations in Lyapunov and nearly Lyapunov systems. The second part of the book is also based on the results achieved in one of the classical methods developed in the years spanning the late 19th and early 20th centuries, the theory of normal forms (Poincare, Lyapunov, Dulac, Siegel, Moser, Arnold, Pliss, and others). The book was translated from the Russian by V. I. Kisin and was first published by Mir Publishers in 1980. Original upload was in djvu form (with OCR and Bookmarked), we converted to PDF, added bookmarks and cov

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