偏置参数消除会产生无数共存的吸引子。

Offset parameter cancellation produces countless coexisting attractors.

机构信息

School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China.

Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, China.

出版信息

Chaos. 2022 Dec;32(12):121104. doi: 10.1063/5.0129936.

DOI:10.1063/5.0129936

PMID:36587358

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.

摘要

系统变量的平均值决定了它的吸引子的位置。当偏移参数在进行代数运算后汇聚并消失时，吸引子的位置就只由初始条件决定了。在这种情况下，由参数主导的偏移控制就变成了由初始条件定义的共存吸引子。本文揭示了一种产生无数共存吸引子的特殊机制。此外，还揭示了一种新的多稳定性机制，解释了无数共存吸引子是如何产生和排列的。