# Controlling coexisting attractors of a class of non-autonomous dynamical systems

Source: [Controlling coexisting attractors of a class of non-autonomous dynamical systems](<https://www.sota2.com/research/paper/68fa59801e209131ce9b7936>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:57:11.062Z

Authors: Zhi Zhang, Joseph P\\'aez Ch\\'avez, Jan Sieber, Yang Liu

Published: 2021-12-17T11:39:52.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2112.09449>)

[PDF](<https://arxiv.org/pdf/2112.09449.pdf>)