Periodic motions

Miklós Farkas

A summary of the most important results in the existence and stability of periodic solutions for ordinary differential equations achieved in the twentieth century, along with relevant applications. It differs from standard classical texts on non-linear oscillations in that it also contains linear theory; theorems are proved with mathematical rigor; and, besides the classical applications such as Van der Pol's, Linard's and Duffing's equations, most applications come from biomathematics. For graduate and Ph.D students in mathematics, physics, engineering, and biology, and as a standard reference for use by researchers in the field of dynamical systems and their applications.

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  • 1 Introduction.- 2 Periodic Solutions of Linear Systems.- 3 Autonomous Systems in the Plane.- 4 Periodic Solutions of Periodic Systems.- 5 Autonomous Systems of Arbitrary Dimension.- 6 Perturbations.- 7 Bifurcations.- Al Matrices.- A2 Topological Degree and Fixed Point Theorems.- A3 Invariant Manifolds.- References.- Symbols.

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書名 Periodic motions
著作者等 Farkas, Miklós
Farkas M.
シリーズ名 Applied mathematical sciences
出版元 Springer-Verlag
刊行年月 c1994
ページ数 xiii, 577 p.
大きさ 25 cm
ISBN 3540942041
NCID BA23349083
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言語 英語
出版国 アメリカ合衆国