Differential Equations: A Dynamical Systems Approach Ordinary Differ
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 mathe
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Editors F. John (deceased) J .E. Marsden L. Sirovich M. Golubitsky W.Jager Advisor G. looss
Springer Science+Business Media, LLC
Texts in Applied Mathematics 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27.
Sirovich: Introduction to Applied Mathematics. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Hale!Kor;ak: Dynamics and Bifurcations. Chorin!Marsden: A Mathematical Introduction to Fluid Mechanics, 3rd ed. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations. Sontag: Mathematical Control Theory: Deterministic Finite Dimensional Systems. Perko: Differential Equations and Dynamical Systems, 2nd ed. Seaborn: Hypergeometric Functions and Their Applications. Pipkin: A Course on Integral p:quations. Hoppensteadt/Peskin: Mathematics in Medicine and the Life Sciences. Braun: Differential Equations and Their Applications, 4th ed. Stoer/Bulirsch: Introduction to Numerical Analysis, 2nd ed. Renardy/Rogers: A First Graduate Course in Partial Differential Equations. Banks: Growth and Diffusion Phenomena: Mathematical Frameworks and Applications. Brenner/Scott: The Mathematical Theory of Finite Element Methods. Van de Velde: Concurrent Scientific Computing: Marsden!Ratiu: Introduction to Mechanics and Symmetry. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems. Kaplan/Glass: Understanding Nonlinear Dynamics. Holmes: Introduction to Perturbation Methods. Curtain!Zwart: An Introduction to Infinite-Dimensional Linear Systems Theory. Thomas: Numerical Partial Differential Equations: Finite Difference Methods. Taylor: Partial Differential Equations: Basic Theory. Merkin: Introduction to the Theory of Stability. Naber: Topology, Geometry, and Gauge Fields: Foundations. Polderman!Willems: Introduction to Mathematical Systems Theory: A Behavioral Approach. Reddy: Introductory Functional Analysis: with Applications to BoundaryValue Problems and Finite Elements.
John H. Hubbard
Beverly H. West
Differential Equations: A Dynamical Systems Approach Ordinary Differential Equations
With 144 Illustrations
~Springer
John H. Hubbard Beverly H. West Department of Mathematics Cornell University Ithaca, NY 14853 USA
Series Editors J.E. Marsden Department of Mathematics University of California Berkeley, CA 94 720 USA M. Golubitsky Department of Mathematics University of Houston Houston, TX 77204-3476 USA
L. Sirovich Division of Applied Mathematics Brown University Providence, RI 02912 USA W.Jiiger Department of Applied Mathematics Universitiit Heidelberg Im Neuenheimer Feld 294 69120 Heidelberg, Germany
Library of Congress Cataloging-in-Publication Data Hubbard, John. Differential equations: a dynamical systems approach I John Hubbard, Beverly West. p. em. - (Texts in applied mathematics: 5, 18) Contents: pt. 1. Ordinary differential equations-pt. 2. Higherdimensional systems.
1. Differential equations. 2. Differential equations, Partial. I. West, Beverly Henderso
