Differential Equations: A Dynamical Systems Approach Higher-Dimensio
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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J. E.
18 Editors
Marsden L. Sirovich M. Golubitsky W.Jager F. John (deceased) Advisor
G.Iooss
Springer New York Berlin Heidelberg Barcelona Hong Kong London Milan Paris Singapore Tokyo
Texts in Applied Mathematics I. 2. 3. 4. 5.
6. 7. 8. 9. 10. II. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32.
Sirovich: Introduction to Applied Mathematics. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Hale/Ko9ak: 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, 2nd ed. Perko: Differential Equations and Dynamical Systems, 2nd ed. Seaborn: Hypergeometric Functions and Their Applications. Pipkin: A Course on Integral Equations. 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, 2nd ed. Hubbard/West: Differential Equations: A Dynamical Systems Approach: HigherDimensional Systems. Kaplan/Glass: Understanding Nonlinear Dynamics. Holmes: Introduction to Perturbation Methods. CurtainlZwart: 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 of Motion. Naber: Topology, Geometry, and Gauge Fields: Foundations. Polderman/Willems: Introduction to Mathematical Systems Theory: A Behavioral Approach. Reddy: Introductory Functional Analysis with Applications to Boundary-Value Problems and Finite Elements. Gustafson/Wilcox: Analytical and Computational Methods of Advanced Engineering Mathematics. Tveito/Winther: Introduction to Partial Differential Equations: A Computational Approach. Gasquet/Witomski: Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets. Bremaud: Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues. Durran: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics. (continued after index)
John H. Hubbard
Beverly H . West
Differential Equations: A Dynamical Systems Approach Higher-Dimensional Systems
With 225 Illustrations
Springer
John H. Hubbard Beverly H. West Department of Mathematics Cornell University Ithaca, NY 14853 USA Series Editors F. J0 h n (deceased) Courant Institute of Mathematical Sciences New York University New York, NY 10012 USA
J.E. Marsden Department of Mathematics University of California Berkeley, CA 94720 USA
M. Golu
