Multifrequency Oscillations of Nonlinear Systems

• Main Authors: Samoilenko, A. (Author), Petryshyn, R. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2004.
• Series: Mathematics and Its Applications ; 567
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Differential equations.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Ordinary Differential Equations.; Partial Differential Equations.; Fourier Analysis.; Functional Analysis.; Applications of Mathematics.

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 co...

Table of Contents:

• 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.