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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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★★★★★ 5
Excellent stylish organizer!
Excellent design and quality of material, practical and functional!
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Reviewed in the United States on October 1, 2025
★★★★★ 5
Love it
It looks good and is well made.
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Reviewed in the United States on November 2, 2025
★★★★★ 5
Bedside organizer
Perfect gift for my boyfriend. It is sturdy and is able to get all his stuff in it, they size is perfect it fits great on his nightstand stand, it was easy to use/organize all his stuff and it is light weight
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Reviewed in the United States on January 3, 2026
★★★★★ 4
Low quality leather
Good product but the leather is kinda cheap, already pealing back a little.
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Reviewed in the United States on August 8, 2025
★★★★★ 5
Great Organizer!
I use this next to my humidor to organize my EDC, lighters, and cutters for my cigars...right color and declutters this area.
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Reviewed in the United States on January 10, 2026