Kniha Averaging in Stability Theory M.M. Hapaev

Averaging in Stability Theory

A Study of Resonance Multi-Frequency Systems

Autor: M.M. Hapaev
Jazyk: Angličtina
Väzba: Brožovaná
Vydavateľ: Springer
Dostupnosť: Skladom u dodávateľa
Odosielame za 5-8 dní
50.01
This volume presents a generalization of the second Lyapunov method involving its combination with t...

Informácie o knihe

Autor
Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2012
Stránok
279
EAN
9789401051682
ISBN
9401051682
Enbook ID
02650549
Vydavateľ
Hmotnosť
477
Rozmery
160 x 240 x 17

Kompletný popis

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. §

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