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The Connection between Infinite Dimensional and Finite Dimensional Dynamical Systems
About this Title
Basil Nicolaenko, Ciprian Foias and Roger Temam, Editors
Publication: Contemporary Mathematics
Publication Year:
1989; Volume 99
ISBNs: 978-0-8218-5105-0 (print); 978-0-8218-7687-9 (online)
DOI: https://doi.org/10.1090/conm/099
MathSciNet review: 1034490
Table of Contents
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Front/Back Matter
Articles
- R. Temam – Dynamical systems in infinite dimension [MR 1034491]
- Peter Constantin – A construction of inertial manifolds [MR 1034492]
- M. Tabor – Analytic structure of dynamical systems [MR 1034493]
- George R. Sell – Hausdorff and Lyapunov dimensions for gradient systems [MR 1034494]
- Dieter Armbruster – Persistent heteroclinic orbits [MR 1034495]
- Michael S. Jolly – Orientation of saddle connections for a reaction diffusion-equation [MR 1034496]
- C. R. Doering, J. D. Gibbon, D. D. Holm and B. Nicolaenko – Finite dimensionality in the complex Ginzburg-Landau equation [MR 1034497]
- Jean-Michel Ghidaglia and Roger Temam – Periodic dynamical system with application to sine-Gordon equations: estimates on the fractal dimension of the universal attractor [MR 1034498]
- Basil Nicolaenko – Inertial manifolds for models of compressible gas dynamics [MR 1034499]
- Tepper L. Gill and W. W. Zachary – Existence and finite-dimensionality of universal attractors for the Landau-Lifschitz equations of ferromagnetism [MR 1034500]
- Michael I. Weinstein – The nonlinear Schrödinger equation—singularity formation, stability and dispersion [MR 1034501]
- Arthur Mazer and Tudor Ratiu – Formal stability of two-dimensional self-gravitating rotating disks [MR 1034502]
- E. van Groesen – A deterministic approach towards self-organization in continuous media [MR 1034503]
- Lawrence Sirovich and Carole H. Sirovich – Low-dimensional description of complicated phenomena [MR 1034504]
- Eric J. Kostelich and James A. Yorke – Using dynamic embedding methods to analyze experimental data [MR 1034505]
- Ioannis G. Kevrekidis and Robert E. Ecke – Global bifurcations in maps of the plane and in Rayleigh-Bénard convection [MR 1034506]
- Edgar Knobloch, Anil E. Deane and Juri Toomre – A model of double-diffusive convection with periodic boundary conditions [MR 1034507]
- K. Gustafson, K. Halasi and R. Leben – Controversies concerning finite/infinite sequences of fluid corner vortices [MR 1034508]