Differential Equations and Dynamical Systems

Differential Equations and Dynamical Systems pdf epub mobi txt 电子书 下载 2025

出版者:Springer Verlag
作者:Perko, Lawrence
出品人:
页数:570
译者:
出版时间:2000-12
价格:$ 107.35
装帧:HRD
isbn号码:9780387951164
丛书系列:
图书标签:
  • 数学
  • 教材
  • ODE
  • 动力系统
  • 微分方程
  • 动力系统
  • 常微分方程
  • 偏微分方程
  • 数学建模
  • 非线性动力学
  • 混沌
  • 稳定性
  • 数值解
  • 应用数学
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具体描述

This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.

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