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Introduction to the Qualitative Theory of Dynamical Systems on Surfaces (Translations of Mathematical Monographs) by G. R. Belitsky, and E. V. Zhuzhoma S. Kh. Aranson is a nonfiction available to read on EtoBox.

What is Introduction to the Qualitative Theory of Dynamical Systems on Surfaces (Translations of Mathematical Monographs) about?

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 systems on surfaces is therefore a natural stage in the transition to multidimensional dynamical systems. The reader of this book need be familiar only with basic courses in differential equations and smooth manifolds. All the main definitions and concepts required for understanding the contents are given in the text. The results expounded can be used for investigating mathematical models of mechanical, physical, and other systems (billiards in polygons,

Who reads Introduction to the Qualitative Theory of Dynamical Systems on Surfaces (Translations of Mathematical Monographs)?

Author

G. R. Belitsky, and E. V. Zhuzhoma S. Kh. Aranson

Publisher

American Mathematical Society

Published

1996

Language

EN

ISBN

9781470445683

Category

nonfiction

Subjects

Mathematics, Stem