CiNii 図書 - Periodic motions

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.

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.

巻冊次: : gw ISBN 9783540942047

内容説明

This book sums up the most important results concerning the existence and stability of periodic solutions of ordinary differential equations achieved in the twentieth century along with relevant applications. It differs from standard classical texts on non-linear oscillations in the following features: it also contains the linear theory; most theorems are proved with mathematical rigor, besides the classical applications like Van der Pol's, Linard's and Duffing's equations, most applications come from biomathematics. The text is intended for graduate and Ph.D students in mathematics, physics, engineering, and biology, and can be used as a standard reference by researchers in the field of dynamical systems and their applications.

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Periodic motions

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