Könyv Averaging in Stability Theory M.M. Hapaev

Averaging in Stability Theory

A Study of Resonance Multi-Frequency Systems

Szerző: M.M. Hapaev
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
19 356 Ft
This volume presents a generalization of the second Lyapunov method involving its combination with t...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2012
oldal
279
EAN
9789401051682
ISBN
9401051682
Enbook ID
02650549
Kiadó
Súly
477
Méretek
160 x 240 x 17

Teljes leírás

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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