Introduction to the qualitative theory of dynamical systems on surfaces
著者
書誌事項
Introduction to the qualitative theory of dynamical systems on surfaces
（Translations of mathematical monographs, v. 153）
American Mathematical Society, c1996
- タイトル別名
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Введение в качественную теорию динамических систем на поверхностях
Dynamical systems on surfaces
Vvedenie v kachestvennui︠u︡ teorii︠u︡ dinamicheskikh sistem na poverkhnosti︠a︡kh
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注記
Bibliography: p. 321-325
内容説明・目次
内容説明
This book is an introduction to the qualitative theory of dynamical systems on manifolds of low dimension (on the circle and on surfaces). Along with classical results, it reflects the most significant achievements in this area obtained in recent times by Russian and foreign mathematicians whose work has not yet appeared in the monographic literature. The main stress here is put on global problems in the qualitative theory of flows on surfaces. Despite the fact that flows on surfaces have the same local structure as flows on the plane, they have many global properties intrinsic to multidimensional systems. This is connected mainly with the existence of nontrivial recurrent trajectories for such flows. The investigation of dynamical sytems on surfaces is therefore a natural stage in the transition to multidimensional dynamical systems. The reader of this book need by familiar only with basic courses indifferential equations and smooth manifolds. All the main definitions and concepts required for understanding the contents are given in the text.
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