Periodic Motions
"The task is done; the Maker rests. And lo! The engine turns. A million years shall flow, Ere round its axle shall the wheel run slow And a new cog be needed .... " Mad8.ch: The Tragedy of Man J.C.W. Horne's translation In this book I tried to sum up the
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Volume 104
Editors F. John J.E. Marsden L. Sirovich Advisors M. Ghil J .K. Hale J. Keller K. Kirchgassner B.J. Matkowsky J. T. Stuart A. Weinstein
Applied Mathematical Sciences
1. John: Partial Differential Equations, 4th ed. 2. Sirovich: Techniques of Asymptotic Analysis. 3. Hale: Theory of Functional Differential Equations, 2nd ed. 4. Percus: Combinatorial Methods. 5. von MiseslFriedrichs: Fluid Dynamics. 6. FreibergerlGrenander: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 8. Giacoglia: Perturbation Methods in Non-linear Systems. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. 10. Stroud: Numerical Quadrature and Solution of Ordinary Differential Equations. 11. Wolovich: Linear Multivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. BlumaniCole: Similarity Methods for Differential Equations. 14. Yoshizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. 15. Braun: Differential Equations and Their Applications, 3rd ed. 16. Lefschetz: Applications of Algebraic Topology. 17. Collatz/Wetterling: Optimization Problems. 18. Grenander: Pattern Synthesis: Lectures in Pattern Theory, Vol. I. 19. MarsdenIMcCracken: Hopf Bifurcation and Its Applications. 20. Driver: Ordinary and Delay Differential Equations. 21. Courant/Friedrichs: Supersonic Flow and Shock Waves. 22. RouchelHabetsiLaloy: Stability Theory by Liapunov's Direct Method. 23. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory. 24. Grenander: Pattern Analysis: Lectures in Pattern Theory, Vol. II. 25. Davies: Integral Transforms and Their Applications, 2nd ed. 26. KushnerlClark: Stochastic Approximation Methods for Constrained and Unconstrained Systems. 27. de Boor: A Practical Guide to Splines. 28. Keilson: Markov Chain Models-Rarity and Exponentiality. 29. de Veubeke: A Course in Elasticity. 30. Shiatycki: Geometric Quantization and Quantum Mechanics. 31. Reid: Sturmian Theory for Ordinary Differential Equations. 32. MeisIMarkowitz: Numerical Solution of Partial Differential Equations. 33. Grenander: Regular Structures: Lectures in Pattern Theory, Vol. ID. 34. KevorkianiCole: Perturbation Methods in Applied Mathematics. 35. Carr: Applications of Centre Manifold Theory. 36. BengtssoniGhiVKiillen: Dynamic Meteorology: Data Assimilation Methods. 37. Sapers/one: Semidynamical Systems in Infinite Dimensional Spaces. 38. LichtenberglLieberman: Regular and Chaotic Dynamics, 2nd ed. 39. PicciniiS/ampacchiaiVidossich: Ordinary Differential Equations in R'. 40. NaylorlSell: Linear Operator Theory in Engineering and Science. 41. Spa"ow: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. 42. GuckenheimerlHolmes: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. 43. Ockendonlfaylor: Inviscid Fluid Flows. 44. PazY: Semigroups of Linear Operators and Applications to Partial Differential Equations. 45. GlashofflGustafson: Linear Operations and Approximation: An Introduction to the Theoretica
