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Date de parution
TAILLE DU FICHIER | 10,10 MB |
AUTEUR | Lawrence Perko |
DATE DE PUBLICATION | 2000-Jan-01 |
Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified. In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers. The analysis of linear systems is possible because they satisfy a superposition principle: if u(t) and w(t) satisfy the differential ...
Differential Equations, Dynamical Systems, and Linear Algebra •MORRIS W. HIRSCH AND STEPHEN SM ALE University of California, Berkeley /PI ACADEMIC PRESS, INC. Harcourt Brace Jovanovich, Publishers San Diego New York Boston London Sydney Tokyo Toronto . Contents Preface CHAPTER1 FIRST EXAMPLES 1. The Simplest Examples 2. Linear Systems with Constant CoeflScients Notes 1 9 13 CHAPTER 2 NEWTON ...