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Averaging in Stability Theory : A Study of Resonance Multi-Frequency Systems - M. M. Hapaev

Averaging in Stability Theory

A Study of Resonance Multi-Frequency Systems

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Published: 30th November 1992
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One service mathematics has rmdcred the 'Et moi, .. si j'avait su comment en rcvenir. human race. It has put common sense back je n'y semis point aile.' whc:rc it belongs, on the topmost shcIl next Jules Verne to the dusty callister labc:1lcd 'discarded non­ sense'. The series is divergent; thererore we may be Eric T. Bell able to do something with iL O. Hcavisidc Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And alI statements obtainable this way form part of the raison d'etre of this series.

Preface
Averaging of Ordinary Differential Equations in One and Multi-Frequency Systemsp. 1
Generalization of Lyapunov Second Method and Averaging in Stability Theoryp. 19
Stability of Systems of Ordinary Differential Equations with Quasi-Periodic Coefficientsp. 102
Stability of Multi-Frequency Systemsp. 114
Stability of Orbits in Three-Body Problemp. 140
Stability of Systems with Admissible Region of Motion. Stability of Gyroscope with No-Contact Suspensionp. 167
Averaging and Stability in Systems of Equations with Delayp. 187
Stability of Partial Differential Equationsp. 210
Stability of Stable System Influenced by Small Random Perturbationsp. 246
Bibliographyp. 263
Indexp. 275
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792315810
ISBN-10: 0792315812
Series: Mathematics and its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 279
Published: 30th November 1992
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.7
Weight (kg): 1.32