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The connection between infinite dimensional and finite dimensional dynamical systems : [electronic resource] proceedings of the AMS-IMS-SIAM joint summer research conference held July 19-25, 1987, with support from the National Science Foundation and the Air Force Office of Scientific Research / Basil Nicolaenko, Ciprian Foias, Roger Temam, editors.

By: AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on the Connection between Infinite and Finite Dimensional Dynamical Systems (1987 : University of Colorado)Contributor(s): Nicolaenko, Basil, 1943- | Foia�s, Ciprian | Temam, Roger | American Mathematical Society | Institute of Mathematical Statistics | Society for Industrial and Applied MathematicsMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 99.Publication details: Providence, R.I. : American Mathematical Society, c1989Description: 1 online resource (xii, 357 p., [3] leaves of plates : ill. (some col.))ISBN: 9780821876879 (online)Subject(s): Differentiable dynamical systems -- Congresses | Differential equations, Parabolic -- Congresses | Nonlinear theories -- Congresses | Fluid mechanics -- CongressesAdditional physical formats: connection between infinite dimensional and finite dimensional dynamical systems :DDC classification: 515/.352 LOC classification: QA614.8 | .A47 1987Online resources: Contents | Contents

Contents:

Dynamical systems in infinite dimension / R. Temam -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034491 A construction of inertial manifolds / Peter Constantin -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034492 Analytic structure of dynamical systems / M. Tabor -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034493 Hausdorff and Lyapunov dimensions for gradient systems / George R. Sell -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034494 Persistent heteroclinic orbits / Dieter Armbruster -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034495 Orientation of saddle connections for a reaction diffusion-equation / Michael S. Jolly -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034496 Finite dimensionality in the complex Ginzburg-Landau equation / C. R. Doering, J. D. Gibbon, D. D. Holm and B. Nicolaenko -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034497 Periodic dynamical system with application to sine-Gordon equations: estimates on the fractal dimension of the universal attractor / Jean-Michel Ghidaglia and Roger Temam -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034498 Inertial manifolds for models of compressible gas dynamics / Basil Nicolaenko -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034499 Existence and finite-dimensionality of universal attractors for the Landau-Lifschitz equations of ferromagnetism / Tepper L. Gill and W. W. Zachary -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034500 The nonlinear Schr�odinger equation -- singularity formation, stability and dispersion / Michael I. Weinstein -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034501 Formal stability of two-dimensional self-gravitating rotating disks / Arthur Mazer and Tudor Ratiu -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034502 A deterministic approach towards self-organization in continuous media / E. van Groesen -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034503 Low-dimensional description of complicated phenomena / Lawrence Sirovich and Carole H. Sirovich -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034504 Using dynamic embedding methods to analyze experimental data / Eric J. Kostelich and James A. Yorke -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034505 Global bifurcations in maps of the plane and in Rayleigh-B�enard convection / Ioannis G. Kevrekidis and Robert E. Ecke -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034506 A model of double-diffusive convection with periodic boundary conditions / Edgar Knobloch, Anil E. Deane and Juri Toomre -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034507 Controversies concerning finite/infinite sequences of fluid corner vortices / K. Gustafson, K. Halasi and R. Leben -- http://www.ams.org/conm/099/ http://dx.doi.org/10.1090/conm/099/1034508

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"AMS-IMS-SIAM 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, Colorado"--T.p. verso.

Includes bibliographical references.

Dynamical systems in infinite dimension / R. Temam -- A construction of inertial manifolds / Peter Constantin -- Analytic structure of dynamical systems / M. Tabor -- Hausdorff and Lyapunov dimensions for gradient systems / George R. Sell -- Persistent heteroclinic orbits / Dieter Armbruster -- Orientation of saddle connections for a reaction diffusion-equation / Michael S. Jolly -- Finite dimensionality in the complex Ginzburg-Landau equation / C. R. Doering, J. D. Gibbon, D. D. Holm and B. Nicolaenko -- 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 / Tepper L. Gill and W. W. Zachary -- The nonlinear Schr�odinger equation -- singularity formation, stability and dispersion / Michael I. Weinstein -- Formal stability of two-dimensional self-gravitating rotating disks / Arthur Mazer and Tudor Ratiu -- A deterministic approach towards self-organization in continuous media / E. van Groesen -- Low-dimensional description of complicated phenomena / Lawrence Sirovich and Carole H. Sirovich -- Using dynamic embedding methods to analyze experimental data / Eric J. Kostelich and James A. Yorke -- Global bifurcations in maps of the plane and in Rayleigh-B�enard convection / Ioannis G. Kevrekidis and Robert E. Ecke -- A model of double-diffusive convection with periodic boundary conditions / Edgar Knobloch, Anil E. Deane and Juri Toomre -- Controversies concerning finite/infinite sequences of fluid corner vortices / K. Gustafson, K. Halasi and R. Leben --