Asymptotic Methods in Resonance Analytical Dynamics

— —

Eugeniu Grebenikov (Russian Academy of Sciences, Moscow, Russia) Yu. A. Mitropolsky

Asymptotic Methods in Resonance Analytical Dynamics

Eugeniu Grebenikov (Russian Academy of Sciences, Moscow, Russia), Yu. A. Mitropolsky, Y.A. Ryabov (Moscow Technical University, Russia) , A.A. Martynyuk

$210

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

CRC Press
02 March 2004

Differential calculus & equations; Applied mathematics

Asymptotic Methods in Resonance Analytical Dynamics presents new asymptotic methods for the analysis and construction of solutions (mainly periodic and quasiperiodic) of differential equations with small parameters. Along with some background material and theory behind these methods, the authors also consider a variety of problems and applications in nonlinear mechanics and oscillation theory. The methods examined are based on two types: the generalized averaging technique of Krylov-Bogolubov and the numeric-analytical iterations of Lyapunov-Poincaré. This text provides a useful source of reference for postgraduates and researchers working in this area of applied mathematics.

By: Eugeniu Grebenikov (Russian Academy of Sciences Moscow Russia), Yu. A. Mitropolsky, Y.A. Ryabov (Moscow Technical University, Russia)
Series edited by: A.A. Martynyuk, V. Lakshmikantham
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm, Spine: 21mm
Weight: 662g
ISBN: 9780415310086
ISBN 10: 0415310083
Pages: 276
Publication Date: 02 March 2004
Audience: Professional and scholarly , Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

Asymptotic Methods in Resonance Analytical Dynamics presents new techniques for the analysis and construction of solutions to nonlinear, multi-frequency differential equations with small parameters. The authors examine two types of methods: Methods based on the generalized averaging technique of Krylov--Bogolubov, particularly useful in resonance cases, and methods based on numeric-analytic iterations, which can be automated. Along with some background material and theory behind these methods, the authors also consider a variety of problems and applications in nonlinear mechanics and oscillation theory, such as the Newtonian three-body problem and the motion of a geostationary satellite.

Grebenikov, Eugeniu; Mitropolsky, Yu. A.; Ryabov, Y.A.

Reviews for Asymptotic Methods in Resonance Analytical Dynamics

"""The book is well written and may be used by graduate students and researchers in both mechanics and applied mathematics."" - Zentralblatt MATH, 1055 ""This book should be very useful to scientists interested in efficient approximation methods for solutions of ordinary differential equations with good accuracy, with a substantial portion devoted to celestial mechanics. It should also be interesting to theorists and applied scientists, since it gives estimates on the proximity of solutions of non-integrable problems to solutions of averaged systems that my be fully integrated. .. [This book includes] examples of iterative processes and their convergence, especially useful for computer programming, either numerical or symbolic."" - Mathematical Reviews, Issue 2005d"