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


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.


Evolution Equation Large Class Finite System Lorenz Equation Numerical Construction 
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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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