Discretization of Systems Possessing Attractors

  • Valentin P. Dymnikov
  • Aleksander N. Filatov
Part of the Modeling and Simulation in Science, Engineering, & Technology book series (MSSET)


For the numerical realization of the systems possessing attractors, it is common practice to use the time and space finite difference schemes and other approximations of such systems. In essence, one deals with the replacing of an initial infinite-dimensional system by different finite dimensional systems. In connection with this the question emerges: what properties of the initial system are kept under such approximation. Since we consider the systems possessing attractors, the question must be answered first: what happens with attractors of such systems under above time-space discretization.


Difference Scheme Lyapunov Function Global Stability Initial System Galerkin Approximation 
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Copyright information

© Birkhäuser Boston 1997

Authors and Affiliations

  • Valentin P. Dymnikov
    • 1
  • Aleksander N. Filatov
    • 2
  1. 1.Institute of Numerical Mathematics of the Russian Academy of SciencesMoscowRussia
  2. 2.Hydrometeorological Center of RussiaMoscowRussia

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