Bibliographic Details
| Title: |
Controlling coexisting attractors of a class of non-autonomous dynamical systems |
| Authors: |
Zhang, Zhi, Chávez, Joseph Páez, Sieber, Jan, Liu, Yang |
| Source: |
Physica D 431, 133134 (16 pages), 2022 |
| Publication Year: |
2021 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Dynamical Systems |
| More Details: |
This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous dynamical systems. The central idea is to introduce a continuous path for the system's trajectory to transition from its original undesired stable attractor to a desired one by varying one of the system parameters according to the information of the desired attractor. The behaviour of the control is studied numerically for both non-smooth and smooth dynamical systems, using a sof-impact and a Duffing oscillator as examples. Special attention is given to identify the regions where the proposed control strategy is applicable by using the path-following methods implemented via the continuation platform COCO. It is shown that the proposed control concept can be implemented through either using an external control input or varying a system parameter. Finally, extensive numerical results are presented to validate the proposed control methods. |
| Document Type: |
Working Paper |
| DOI: |
10.1016/j.physd.2021.133134 |
| Access URL: |
http://arxiv.org/abs/2112.09449 |
| Accession Number: |
edsarx.2112.09449 |
| Database: |
arXiv |
