Applied methods in the theory of nonlinear oscillations
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Applied methods in the theory of nonlinear oscillations

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Published by Mir in Moscow .
Written in English


  • Oscillations,
  • Nonlinear mechanics,
  • Differential equations, Nonlinear

Book details:

Edition Notes

StatementV.M. Starzhinskii ; translated from the Russian by V.I. Kisin
The Physical Object
Pagination263 p. :
Number of Pages263
ID Numbers
Open LibraryOL14451779M

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Applied Methods in the Theory of Nonlinear Oscillators [Starzhinskii, V. M.] on *FREE* shipping on qualifying offers. Applied Methods in the Theory of Nonlinear OscillatorsAuthor: V. M. Starzhinskii. Additional Physical Format: Online version: Starzhinskiĭ, V.M. (Vi︠a︡cheslav Mikhaĭlovich). Applied methods in the theory of nonlinear oscillations. Applied methods in the theory of nonlinear oscillations [V. M StarzhinskiiÌ ] on *FREE* shipping on qualifying : V. M StarzhinskiiÌ. This book is devoted primarily to applied asymptotic methods in nonlinear oscillations which are associated with the names of N. M. Krylov, N. N. Bogoli­ ubov and Yu. A. Mitropolskii. The advantages of the present methods are their simplicity, especially for computing higher approximations, and their applicability to a large class of quasi.

Methods of studying essentially nonlinear time-invariant systems of ordinary differential equations are set forth. The first part of the book is concerned with oscillations in Liapunov systems and the application of perturbation methods to such systems. The second part considers the application of the theory of normal forms to time-invariant systems of third, fourth, and sixth by: The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than practice problems are illustrated, which might be useful for students and researchers in the areas of nonlinear oscillations and applied mathematics. From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems. It includes the so-called variational, projection and iterative gradient methods, which, when applied to nonlinear problems, use the procedure of linearization of the original non.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle . A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes . Applied Methods in the Theory of Nonlinear Oscillations by V.M. Starzhinskii, , available at Book Depository with free delivery worldwide. Applied Nonlinear Analysis contains the proceedings of an International Conference on Applied Nonlinear Analysis, held at the University of Texas at Arlington, on April , The papers explore advances in applied nonlinear analysis, with emphasis on reaction-diffusion equations; optimization theory; constructive techniques in numerical.