We deal with the largest compact invariant set X for forced oscillation systems. As in the Lorenz system X 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.
|Number of pages||16|
|Journal||Japan Journal of Industrial and Applied Mathematics|
|Publication status||Published - 1993 Oct|
- forced oscillation systems
- Kaplan-Yorke formula
- strange attractor