Elements of Applied Bifurcation Theory
This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to pa
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Applied Mathematical Sciences l. John: Partial Differential Equations, 4th ed. 2. Sirovich: Teclnriques of Asymptotic Analysis. 3. Haie: Theory ofFunctional Differential Equations, 2nd ed. 4. Percus: Combinatorial Methods. 5. von MiseslFriedrichs: Flnid Dynamics. 6. FreibergerlGrenander: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 8. Giacaglia: Pertwbation Methods in Non-linear Systems. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. 10. Stroud: Numerical Quadrature and Solution of Ordinary Differential Equations. Il. 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, 3 rd ed. 16. Lefschetz: Applications of Aigebraic Topology. 17. CollatzlWetterling: Optimization Problems. 18. Grenander: Pattern Synthesis: Lectures in Pattern Theory, Vol. J. 19. MarsdenlMcCracken: HopfBifurcation and Its Applications. 20. Driver: Ordinary and Delay Differential Equations. 21. CourantlFriedrichs: Supersonic Flow and Shock Waves. 22. RoucheiHabetslLaloy: 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. 11. 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: Revised Edition. 28. Keilson: Markov Chain Models-Rarity and Exponentiality . 29. de Veubeke: A Course in Elasticity. 30. Sniatycki: Geometric Quantization and Quantum Mechanics. 31. Reid: Sturmian Theory for Ordinary Differential Equations. 32. MeislMarkowitz: Numerical Solution ofPartial Differential Equations.
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Grenander: Regular Structures: Lectures in Pattern Theory, Vol. III. KevorkianiCole: Perturbation Methods in Applied Mathematics. Carr: Applications of Centre Manifold Theory. BengtssoniGhi/lKäl/en: Dynamic Meteorology: Data Assimilation Methods. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. LichtenberglLieberman: Regular and Chaotic Dynamics, 2nd ed. PicciniiStampacchia/Vidossich: Ordinary Differential Equations in Rn. NaylorlSell: Linear Operator Theory in Engineering and Science. Sparrow: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. GuckenheimerlHolmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations ofVector Fields. OckendonITaylor: Inviscid Fluid Flows. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations. GlashofflGustafson: Linear Operations and Approximation: An Introduction to the Theoretical Analysis and Numerical Treabnent
