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Journal of Mathematical Sciences

, Volume 75, Issue 6, pp 2028–2037 | Cite as

Approximation of attractors for evolution equations with the help of attractors for finite systems

  • I. N. Kostin
Article
  • 23 Downloads

Abstract

The problem of approximation of attractors for semidynamical systems (SDS) in a metric space is considered. Let some (exact) SDS possessing an attractor M be inaccurately defined, i.e., another SDS, which is close in some sense to the exact one, be given. The problem is to find a set M that is close to M in the Hausdorff metric. A finite procedure for construction of M is suggested. The results obtained are suitable for numerical construction of attractors for a rather large class of systems, including the ones generated by the Lorenz equations. Bibliography: 8 titles.

Keywords

Evolution Equation Large Class Finite System Lorenz Equation Numerical Construction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • I. N. Kostin

There are no affiliations available

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