| Averaging in Stability Theory: A Study of Resonance Multi-Frequency Systems 1992 Edition Contributor(s): Hapaev, M. M. (Author) |
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ISBN: 0792315812 ISBN-13: 9780792315810 Publisher: Springer OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: November 1992 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Mathematical Analysis - Science | Mechanics - General |
| Dewey: 515.45 |
| LCCN: 91044079 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.69" H x 6.14" W x 9.21" (1.31 lbs) 279 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |