We develop an efficient targeting technique and demonstrate that when used with an unstable periodic orbit stabilization method, fast and efficient switching between controlled periodic orbits is possible. This technique is particularly relevant to cases of higher attractor dimension. We present a numerical example and report an improvement of up to four orders of magnitude in the switching time over the case with no targeting.
|Number of pages||4|
|Journal||Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - May 1995|
- direct trajectories
Baretto, E., Kostelich, E. J., Grebogi, C., Ott, E., & Yorke, J. A. (1995). Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 51(5), 4169-4172. https://doi.org/10.1103/PhysRevE.51.4169