Differential equations and dynamical systems

Bibliographic Information

Differential equations and dynamical systems

Lawrence Perko

(Texts in applied mathematics, 7)

Springer, 1998, c1996

2nd ed., corr. 2nd printing

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Includes bibliographical references and index

Description and Table of Contents

Description

This text contains a systems study of autonomous systems of ordinary differential equations and dynamical systems. The main purpose of the book is to introduce students to the qualitative and geometric theory of ordinary differential equations.

Table of Contents

  • Linear systems
  • nonlinear systems (includes new sections on Manifold theory and normal form theory)
  • nonlinear systems - global theory
  • nonlinear systems - bifurcation theory (includes new sections on global bifurcation of systems in R2, second and higher order Melnikov theory, Taken's Bogdanov bifurcation, Cappel problem for binded quadratic systems).

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