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＜電子ブック＞
Multifrequency Oscillations of Nonlinear Systems / by Anatolii M. Samoilenko, R. Petryshyn
(Mathematics and Its Applications ; 567)

版	1st ed. 2004.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2004
本文言語	英語
大きさ	VI, 317 p : online resource
著者標目	*Samoilenko, Anatolii M author Petryshyn, R author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Fourier analysis LCSH:Functional analysis LCSH:Mathematics FREE:Differential Equations FREE:Fourier Analysis FREE:Functional Analysis FREE:Applications of Mathematics
一般注記	Averaging Method in Oscillation Systems with Variable Frequencies -- Aceraging Method in Multipoint Problems -- Integral Manifolds -- Investigation of a Dynamical System in a Neighborhood of a Quasiperiodic Trajectory In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations HTTP:URL=https://doi.org/10.1007/1-4020-2031-7

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