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Updated: Aug 15, 2025

Operation of the Collaborative Composite Manufacturing CCM System
Published on: October 1, 2019
Offset parameter cancellation produces countless coexisting attractors
Chunbiao Li1, Tengfei Lei2, Zuohua Liu3
1School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China.
Abstract:
The average value of a system variable determines the position of its attractor. When the offset parameters come together and get disappeared after an algebraic operation, the location of the attractor is then governed by an initial condition only. In this case, parameter-dominated offset control turns out to be the initial condition-defined coexisting attractors. In this Letter, a special mechanism for generating countless coexisting attractors is disclosed. Furthermore, a new regime of multistability is revealed, which explains where and how countless coexisting attractors are born and arranged.
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