Dynamics of Infinite Dimensional SystemsJack K. Hale, Shui-Nee Chow |
Other editions - View all
Common terms and phrases
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 continuous function 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 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 manifolds vector field viscosity solution wave X₁ zero