Multifrequency Oscillations of Nonlinear Systems

2004. Auflage 2004
ISBN: 978-1-4020-2030-8
Verlag: Springer

Buch, Englisch, Band 567, 317 Seiten, Format (B × H): 165 mm x 239 mm, Gewicht: 1390 g

Reihe: Mathematics and Its Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Samoilenko, Anatolii M

Petryshyn, R.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.