## Dynamics of infinite dimensional systemsThis volume presents the results of a NATO Advanced Study Institute on Dynamics of Infinite Dimensional Systems, held at the Instituto Superior Tecnico, Lisbon, Portugal, May 19-24, 1986. In recent years several research workers have considered 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 from 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 Institute was to bring together research workers from these various areas. It provided a soundboard for the impact of the ideas of each respective discipline. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

algebraic Anal analysis apply assume asymptotic behavior attractor Backlund transformation Banach space Berlin Heidelberg 1987 Bifurcation Theory bounded bounded set Chow compact Computer confinor consider constant continuous continuous function convergence corresponding curve defined denote derivatives Dimensional Systems Edited dynamical system Dynamics of Infinite Edited by S.-N eigenvalues eigenvector equilibrium example exists exponential F37 Dynamics finite fixed point 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 matrix methods metric neighborhood nonlinear nonnegative obtain operator Parabolic parameter periodic orbits periodic solutions perturbation polynomial positive problem proof properties Proposition prove result satisfies scalar semigroup semilinear sequence stable subspace symmetry Theorem 2.1 theory tion trajectory unique unstable manifold vector field viscosity solutions wave zero