Theory of Oscillations

By: Vladimir Ivanovich Zubov

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Hardcover | 1 December 1997

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412 Pages

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22.23 x 15.88 x 3.18

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This monograph deals with the controlled/non-controlled nonlinear systems of differential equations. Mathematical apparatus is developed to construct stationary conditions and to carry out studies on the behaviour of integral curves in the neighbourhood of such conditions. Considerable coverage is given to existence and methods of finding periodic orbits and almost-periodic solutions, as well as to the description of the class of ergodic recurrent motions. There is further treatment of the perturbation method and the theory of time-independent and periodic perturbations in particular. The theory developed here is applied to the construction and investigation of the neighbourhood of time-independent conditions for nonlinear systems of automatic control, and the control of the charged particle beam in the magnetic field. Some other specific problems are also solved such as after effect systems and orbit quantization.

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You Can Find This Book In

Non-Fiction Science Science in General Mathematics Applied Mathematics Physics Materials & States of Matter Condensed Matter Physics including Liquid State & Solid State Physics Classical Mathematics Optimisation Linear Programming Calculus & Mathematical Analysis

Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing

Preliminary Representations and Analyses of Motion Family Behavior	p. 1
On Behavior of Trajectories in the Neighborhood of a Periodic Orbit	p. 69
Natural and Forced Oscillations in Systems with Many Degrees of Freedom	p. 131
Methods for Investigation and Construction of Stationary Modes	p. 199
Oscillations in Nonlinear and Controlled Systems	p. 265
Theory of Rated Stability	p. 357
Bibliography	p. 393
Index	p. 397
Table of Contents provided by Blackwell. All Rights Reserved.

Theory of Oscillations

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Hardcover

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