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Noisy dynamic simulations in the presence of symmetry: Data alignment and model reduction

  • Published:2013-05 Issue:10 Volume:65 Page:1535-1557
  • ISSN:0898-1221
  • Container-title:Computers & Mathematics with Applications
  • language:en
  • Short-container-title:Computers & Mathematics with Applications

Author:

Sonday Benjamin,Singer Amit,Kevrekidis Ioannis G.

Funder

DOE CSGF

NSF GRFP

DOE

Sloan research fellowship

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference48 articles.

1. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields;Guckenheimer,2002

2. Generalized Lyapunov–Schmidt reduction for parametrized equations at near singular points;Neumaier;Linear Algebra and its Applications,2001

3. Explicit construction of an inertial manifold for a reaction diffusion equation;Jolly;Journal of Differential Equations,1989

4. Approximate inertial manifolds for the Kuramoto–Sivashinsky equation: analysis and computations;Jolly;Physica D,1990

5. On the computation of inertial manifolds;Foias;Physics Letters A,1988

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