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Description
Oscillations in Nonlinear SystemsBy focusing on ordinary differential equations that contain a small parameter, this concise graduate level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds. Part I of the text features
By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds.Part I of the text features introductory material, including discussions of matrices, linear systems of differential equations, and stability of solutions of nonlinear systems. Part II offers extensive treatment of periodic solutions, including the general theory for periodic solutions based on the work of Cesari-Halel-Gambill, with specific examples and applications of the theory. Part III covers various aspects of almost periodic solutions, including methods of averaging and the existence of integral manifolds. An indispensable resource for engineers and mathematicians with knowledge of elementary differential equations and matrices, this text is illuminated by numerous clear examples.
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/20/2015
ISBN: 9780486673622
Pages: 192
Weight: 0.47lbs
Size: 8.42h x 5.37w x 0.40d
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4.8 ★★★★★
Based on 5 reviews
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Product Reviews
★★★★★ 5
Five Stars
Format: Paperback
I really enjoyed the tales about the wily Mulla Nasrudin!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on February 11, 2015
★★★★★ 5
Five Stars
Format: Paperback
you will love these stories rather Exploits they are indeed Incomparable yet giving powerful messages.
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Reviewed in the United States on November 14, 2014
★★★★★ 2
Not exactly Mulla Nasrudin
Format: Paperback
This book is a compilation of funny anecdotes and jokes compiled through the ages. The choice of words and sentence structures clearly shows the difficulty in translating such text. In these regards the book is fine.
This book fails mightily when talking about Mulla Nasuraddin. I understand that Mulla at this stage is mostly considered somewhat fictitious figures and stories about him probably have different origins which are attributed over the times to a single person. At the same time, the author has completely take a leap of faith and almost any anecdote even modern ones about trains and machines had been assigned to Mulla. I was really looking for the charm of those old time stories not a general anecdote. In that sense, this books disappointed me.
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Reviewed in the United States on November 23, 2008
★★★★★ 5
Funny, delightful series, highly recommend!
Format: Hardcover
My son and I love this whole series! Highly recommend all of these books!
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Reviewed in the United States on March 1, 2026
★★★★★ 5
Highly recommended children series
Format: Hardcover
We love this series. It’s so much fun. The illustrations are perfect. It’s fun and cute. Highly recommend.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on August 18, 2025
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