Introduction to the Qualitative Theory of Differential Systems : Planar, Symmetric and Continuous Piecewise Linear Systems
 フォーマット:
 電子ブック
 責任表示:
 by Jaume Llibre, Antonio E. Teruel
 本文言語:
 英語
 出版情報:
 Basel, Switzerland. 2014. Springer Basel,Imprint: Springer
 シリーズ:
 Birkhäuser Advanced Texts Basler Lehrbücher
 概要:
 The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. These differential systems are symmetric with respect to the origin of coordinates. This class of systems, driven by concrete applications, is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems, we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the dynamics at infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is highly suitable for a first course in the qualitative theory of differential equations or dynamical systems, particularly for engineers, mathematicians, and physicists. … 続きを見る
 目次:

Preface 1 Introduction and statement of the main results 2 Basic elements of the qualitative theory of ODEs 3 Fundamental systems 4 Return maps 5 Phase portraits Index Bibliography. . Preface 1 Introduction and statement of the main results 2 Basic elements of the qualitative theory of ODEs 3 Fundamental systems 4 Return maps 5 Phase portraits