Differential Equations and Dynamical Systems

1. Front Matter

   Pages i-xiv

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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

   PDF

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.

• bifurcation
• differential equation
• dynamical systems
• material
• fluid- and aerodynamics

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

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

  Lawrence Perko