An Introduction to Infinite Dimensional Dynamical Systems - Geometric Theory (Applied Mathematical Sciences) - Softcover

Hale, J.K.; Magalhaes, L.T.; Oliva, W.M.

 
9780387909318: An Introduction to Infinite Dimensional Dynamical Systems - Geometric Theory (Applied Mathematical Sciences)

Synopsis

1. Introduction.- 2. Retarded Functional Differential Equations on Manifolds.- 3. Examples of Retarded Functional Differential Equations on Manifolds.- 4. Generic Properties. The Theorem of Kupka-Smale.- 5. Invariant Sets, Limit Sets and the Attractor.- 6. The Dimension of the Attractor.- 7. Attractor Sets as C1-Manifolds.- 8. Stability Relative to A(F) and Bifurcation.- 9. Compactification at Infinity.- 10. Stability of Morse-Smale Maps.- 11. Bibliographical Notes.- References.- Appendix - An Introduction to Homotopy Index Theory in Noncompact Spaces.- References for Appendix.

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9781475744941: An Introduction to Infinite Dimensional Dynamical Systems - Geometric Theory

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ISBN 10:  1475744943 ISBN 13:  9781475744941
Publisher: Springer, 2013
Softcover