Abstract
A mathematically rigorous procedure to estimate the Hausdorff dimension of the attractor is given. The method is based on invoking the Kaplan-Yorke-type estimate, through extending the argument of Constantin, Foias, and Temam.
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Communicated by R. Temam
This work is partially supported by Grant-in-Aid for Scientific Research (Nos. 04305031, 04554001, 04640209, and 05740082), Japan Ministry of Education, Science, and Culture.
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Hakamada, T., Imai, H. & Ishimura, N. Analytical approach to estimating the dimension of attractors. Appl Math Optim 34, 29–36 (1996). https://doi.org/10.1007/BF01182471
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DOI: https://doi.org/10.1007/BF01182471