《動力系統VIII：奇異理論II—套用》是2009年科學出版社出版的圖書，作者是[俄羅斯]阿諾德（Amol'、V.I.）。
基本介紹
- 中文名：動力系統VIII：奇異理論II—套用
- 作者：[俄羅斯]阿諾德（Amol'、V.I.）
- 出版社：科學出版社
- ISBN：9787030234957
- 出版時間：2009-01
內容簡介,圖書目錄,
內容簡介
This volume of the Encyclopaedia is devoted to applications of singularity theory in mathematics and physics. The authors Arnol'd，Vasil'ev， Goryunov and Lyashko study bifurcation sets arising in various contexts such as the stability of singular points of dynamical systems， boundaries of the domains of ellipticity and hyperbolicity of partial differential equations， boundaries of spaces of oscillating linear equations with variable coefficients and boundaries of fundamental systems of solutions.
The book also treats applications of the following topics： functions on manifolds with boundary， projections of complete intersections， caustics， wave fronts， evolvents， maximum functions， shock waves， Petrovskij lacunas and generalizations of Newton's topological proof that Abelian integrals are transcendental.
The book contains a list of open problems， conjectures and directions for future research.
It will be of great interest for mathematicians and physicists as a reference and research aid.
圖書目錄
Foreword
Chapter 1 Classification of Functions and Mappings
Chapter 2 Applications of the Classification of Critical Points of Functions
Chapter 3 Singularities of the Boundaries of Domains of Function Spaces
Chapter 4 Applications of Ramified Integrals and Generalized Picard-Lefschetz Theories
Chapter 5 Deformations of Real Singularities and Local Petrovskii Lacunas
Bibliography
Author Index
Subject Index
