Krylov / Bogoliubov Introduction to Non-Linear Mechanics

1. Auflage 2016
ISBN: 978-1-4008-8227-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 11, 106 Seiten

Reihe: Annals of Mathematics Studies

A classic introduction to non-linear mechanics from the acclaimed Annals of Mathematics Studies series

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Autoren/Hrsg.

Krylov, Nikolai Mitrofanovich

Bogoliubov, Nikolai Nikolaevich

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Mechanik

Inhaltsverzeichnis

Frontmatter, pg. i
INTRODUCTION, pg. v
TABLE OF CONTENTS, pg. vii
I. SOME NON-LINEAR OSCILLATORY SYSTEMS, pg. 1
II. ELEMENTARY THEORY OF THE FIRST APPROXIMATION, pg. 8
III. REFINEMENT OF THE FIRST APPROXIMATION, pg. 28
IV. CONSTRUCTION OF THE HIGHER APPROXIMATIONS, pg. 40
V. LINEARIZATION, pg. 55
VI. APPLICATION OF SYMBOLIC METHODS TO LINEARIZATION, pg. 63
VII. MULTIPLY PERIODIC SYSTEMS, pg. 73
VIII. INFLUENCE OF PERIODIC DISTURBANCES, pg. 79
IX. COMPLEMENTS, pg. 87
BIBLIOGRAPHY, pg. 100
ERRATA, pg. 106