Approximation of attractors for evolution equations with the help of attractors for finite systems
Journal Article
·
· Journal of Mathematical Sciences
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.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 107570
- Journal Information:
- Journal of Mathematical Sciences, Vol. 75, Issue 6; Other Information: PBD: 5 Aug 1995; TN: Translated from Zapiski Nauchnykh Seminarov POMI; 197, 71-86(1992)
- Country of Publication:
- United States
- Language:
- English
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