The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMSIMSSIAM joint summer research conference held July 1925, 1987, with support from the National Science Foundation and the Air Force Office of Scientific Research
- Providence, R.I. : American Mathematical Society, c1989
- 1 online resource (xii, 357 p., [3] leaves of plates : ill. (some col.))
- Contemporary mathematics v. 99 10983627 .
AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on the Connection between Infinite and Finite Dimensional Dynamical Systems ... held at the University of Colorado, Boulder, ColoradoT.p. verso.
Includes bibliographical references.
Dynamical systems in infinite dimension ; A construction of inertial manifolds ; Analytic structure of dynamical systems ; Hausdorff and Lyapunov dimensions for gradient systems ; Persistent heteroclinic orbits ; Orientation of saddle connections for a reaction diffusionequation ; Finite dimensionality in the complex GinzburgLandau equation ; Periodic dynamical system with application to sineGordon equations: estimates on the fractal dimension of the universal attractor ; Inertial manifolds for models of compressible gas dynamics ; Existence and finitedimensionality of universal attractors for the LandauLifschitz equations of ferromagnetism ; The nonlinear Schrodinger equation singularity formation, stability and dispersion ; Formal stability of twodimensional selfgravitating rotating disks ; A deterministic approach towards selforganization in continuous media ; Lowdimensional description of complicated phenomena ; Using dynamic embedding methods to analyze experimental data ; Global bifurcations in maps of the plane and in RayleighBenard convection ; A model of doublediffusive convection with periodic boundary conditions ; Controversies concerning finiteinfinite sequences of fluid corner vortices R Temam ; Peter Constantin ; M Tabor ; George R Sell ; Dieter Armbruster ; Michael S Jolly ; C R Doering J D Gibbon D D Holm and B Nicolaenko ; JeanMichel Ghidaglia and Roger Temam ; Basil Nicolaenko ; Tepper L Gill and W W Zachary ; Michael I Weinstein ; Arthur Mazer and Tudor Ratiu ; E van Groesen ; Lawrence Sirovich and Carole H Sirovich ; Eric J Kostelich and James A Yorke ; Ioannis G Kevrekidis and Robert E Ecke ; Edgar Knobloch Anil E Deane and Juri Toomre ; K Gustafson K Halasi and R Leben
9780821876879 (online)
Differentiable dynamical systems
Differential equations, Parabolic
Fluid mechanics
Nonlinear theories
AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on the Connection between Infinite and Finite Dimensional Dynamical Systems ... held at the University of Colorado, Boulder, ColoradoT.p. verso.
Includes bibliographical references.
Dynamical systems in infinite dimension ; A construction of inertial manifolds ; Analytic structure of dynamical systems ; Hausdorff and Lyapunov dimensions for gradient systems ; Persistent heteroclinic orbits ; Orientation of saddle connections for a reaction diffusionequation ; Finite dimensionality in the complex GinzburgLandau equation ; Periodic dynamical system with application to sineGordon equations: estimates on the fractal dimension of the universal attractor ; Inertial manifolds for models of compressible gas dynamics ; Existence and finitedimensionality of universal attractors for the LandauLifschitz equations of ferromagnetism ; The nonlinear Schrodinger equation singularity formation, stability and dispersion ; Formal stability of twodimensional selfgravitating rotating disks ; A deterministic approach towards selforganization in continuous media ; Lowdimensional description of complicated phenomena ; Using dynamic embedding methods to analyze experimental data ; Global bifurcations in maps of the plane and in RayleighBenard convection ; A model of doublediffusive convection with periodic boundary conditions ; Controversies concerning finiteinfinite sequences of fluid corner vortices R Temam ; Peter Constantin ; M Tabor ; George R Sell ; Dieter Armbruster ; Michael S Jolly ; C R Doering J D Gibbon D D Holm and B Nicolaenko ; JeanMichel Ghidaglia and Roger Temam ; Basil Nicolaenko ; Tepper L Gill and W W Zachary ; Michael I Weinstein ; Arthur Mazer and Tudor Ratiu ; E van Groesen ; Lawrence Sirovich and Carole H Sirovich ; Eric J Kostelich and James A Yorke ; Ioannis G Kevrekidis and Robert E Ecke ; Edgar Knobloch Anil E Deane and Juri Toomre ; K Gustafson K Halasi and R Leben
9780821876879 (online)
Differentiable dynamical systems
Differential equations, Parabolic
Fluid mechanics
Nonlinear theories