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Differential Equations and Dynamical Systems

  • Textbook
  • © 2001

Overview

Authors:
  1. Lawrence Perko

    1. Department of Mathematics, Northern Arizona University, Flagstaff, USA

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Part of the book series: Texts in Applied Mathematics (TAM, volume 7)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Linear Systems

    • Lawrence Perko
    Pages 1-63

  3. Nonlinear Systems: Local Theory

    • Lawrence Perko
    Pages 65-180

  4. Nonlinear Systems: Global Theory

    • Lawrence Perko
    Pages 181-314

  5. Nonlinear Systems: Bifurcation Theory

    • Lawrence Perko
    Pages 315-540

  6. Back Matter

    Pages 541-557
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Keywords

About this book

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas­ sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math­ ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs.

Reviews

Reviews from the first edition:

“...The text succeeds admiraby ... Examples abound, figures are used to advantage, and a reasonable balance is maintained between what is proved in detail and what is asserted with supporting references ... Each section closes with a set of problems, many of which are quite interesting and round out the text material ... this book is to be highly recommended both for use as a text, and for professionals in other fields wanting to gain insight into modern aspects of the geometric theory of continuous (i.e., not discrete) dynamical systems.” MATHEMATICAL REVIEWS

Authors and Affiliations

  • Department of Mathematics, Northern Arizona University, Flagstaff, USA

    Lawrence Perko

Bibliographic Information

  • Book Title: Differential Equations and Dynamical Systems

  • Authors: Lawrence Perko

  • Series Title: Texts in Applied Mathematics

  • DOI: https://doi.org/10.1007/978-1-4613-0003-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2001

  • Hardcover ISBN: 978-0-387-95116-4Published: 28 December 2000

  • Softcover ISBN: 978-1-4612-6526-9Published: 14 November 2013

  • eBook ISBN: 978-1-4613-0003-8Published: 21 November 2013

  • Series ISSN: 0939-2475

  • Series E-ISSN: 2196-9949

  • Edition Number: 3

  • Number of Pages: XIV, 557

  • Number of Illustrations: 11 b/w illustrations

  • Topics: Analysis, Fluid- and Aerodynamics, Classical Mechanics

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