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In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations.
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Previews available in: English
Subjects
Nonlinear oscillations, General, Mathematics, Science/Mathematics, Applied, Differential Equations, Mathematical Analysis, Mathematics / Differential Equations, Oscillations, Nonlinear theories, Functional analysis, Fourier analysis, Partial Differential equations, Differential equations, partial, Ordinary Differential Equations, Applications of MathematicsEdition | Availability |
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1
Multifrequency Oscillations of Nonlinear Systems (Mathematics and Its Applications)
July 28, 2004, Springer
Hardcover
in English
- 1 edition
1402020309 9781402020308
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2
Multifrequency oscillations of nonlinear systems
2004, Kluwer Academic Publishers
in English
1402020309 9781402020308
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- Created April 30, 2008
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July 31, 2019 | Edited by MARC Bot | associate edition with work OL3385042W |
April 24, 2010 | Edited by Open Library Bot | Fixed duplicate goodreads IDs. |
April 16, 2010 | Edited by bgimpertBot | Added goodreads ID. |
April 14, 2010 | Edited by Open Library Bot | Linked existing covers to the edition. |
April 30, 2008 | Created by an anonymous user | Imported from amazon.com record |