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Averaging in Stability Theory on Hardback by M.M. Hapaev
Averaging in Stability Theory on Hardback by M.M. Hapaev
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Averaging in Stability Theory

A Study of Resonance Multi-Frequency Systems
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Description

This volume presents a generalization of the second Lyapunov method involving its combination with the asymptotic averaging method. This generalized method can be applied to multifrequency systems having resonance harmonics. A new method is also described for estimating small denominators in multifrequency systems which makes use of the nonlinear properties of the system frequencies. The methods derived can also be extended to integro-differential equations, delay differential equations, and to partial differential equations having small nonlinear terms. One of the various applications relating to multifrequency and resonance problems which are discussed in this book is the stability of the classical three-body problem. For specialists in stability theory, nonlinear oscillation theory and asymptotic methods in mathematics and celestial mechanics.
Release date NZ
November 30th, 1992
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
XIII, 279 p.
Pages
279
Dimensions
155x235x17
ISBN-13
9780792315810
Product ID
2051025

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