Contents
Preface
Dynamical systems in infinite dimension
R. TEMAM
A construction of inertial manifolds
PETER CONSTANTIN
Analytic structure of dynamical systems
Xl
27
M. TABOR
63
Hausdorff and Lyapunov dimensions for gradient systems
GEORGE R. SELL
85
Persistent heteroclinic orbits
DIETER ARMBRUSTER
93
Orientation of saddle connections for a reaction diffusion equation
MICHAELS. JOLLY
105
Finite dimensionality in the complex Ginzburg-Landau equation
C. R. DOERING, J. D. GIBBON, D. D. HOLM and B. NICOLAENKO
117
Periodic dynamical system with application to Sine-Gordon equations:
Estimates on the fractal dimension of the universal attractor
JEAN-MICHEL GHIDAGLIA and ROGER TEMAM
Inertial manifolds for models of compressible gas dynamics
BASIL NICOLAENKO
Existence and finite-dimensionality of universal attractors for the Landau-
Lifschitz equations of ferromagnetism
143
165
TEPPER L. GILL and W. W. ZACHARY
181
The nonlinear Schrodinger equation-singularity formation, stability and
dispersion
MICHAEL I. WEINSTEIN
213
ix
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