Dimension estimate of the global attractor for forced oscillation systems
By Yuji HATTORI, Naoyuki ISHIMURA, Isamu OHNISHI and Makoto UMEKI
Japan J. Indu5t. Appl. Math., 10 (1993), 351-366
The abstract is the following:
We deal with the largest compact invariant setX for forced oscillation systems. As in the Lorenz systemX may contain a strange attractor. Invoking the Kaplan-Yorke formula we give an upper bound for the dimension of X analytically and compare it with numerical results. It is, observed that both agree rather well when the damping coefficient is small.
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