Dynamics of Infinite Dimensional SystemsJack K. Hale, Shui-Nee Chow The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico. Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations as dynamical systems on function spaces. Such approaches have led to the formulation of more theoretical problems that need to be investigated. In the applications. the theoretical ideas have contributed significantly to a better understanding of phenomena that have been experimentally and computationally observed. The investigators of this development come wi th several different backgrounds - some from classical partial differential equations. some from classical ordinary differential equations and some interested in specific applications. Each group has special ideas and often these ideas have not been transmitted from one group to another. The purpose of this NATO Workshop was to bring together research workers from these various areas. It provided asoundboard for the impact of the ideas of each respective discipline. We believe that goal was accomplished. but time will be a better judge. We have included the list of participants at the workshop. with most of these giving a presentation. Although the proceedings do not include all of the presentations. it is a good representative sampie. We wish to express our gratitude to NATO. and.to Dr. M. di Lullo of NATO. who unfortunately did not live to see the completion of this project. |
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algebraic apply assume asymptotic attractor Backlund transformation Banach space Berlin Heidelberg 1987 Bifurcation Theory bounded bounded set C₁ Chow compact Computer confinor consider constant continuous convergence corresponding curve defined denote Dimensional Systems Edited Dynamics of Infinite Edited by S.-N eigenvalues eigenvector equilibrium exists exponential F37 Dynamics finite flow functional differential equations geodesic flow given global Hamilton-Jacobi equations Hopf bifurcation implies Infinite Dimensional Systems integral interval invariant manifolds invariant set iteration J. K. Hale Lax pair Lemma Liapunov function linear Mathematics matrix methods metric nonlinear nonnegative obtain operator P₁ parameter periodic orbits periodic solutions perturbation polynomial positive problem proof Proposition result satisfies scalar semiflow semigroup semilinear sequence Springer-Verlag Berlin Heidelberg stable subspace symmetry theory tion trajectory unique unstable unstable manifold vector field viscosity solutions X₁ zero