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基于偏移增强的动力学编辑。

Dynamics editing based on offset boosting.

机构信息

Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), 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. 2020 Jun;30(6):063124. doi: 10.1063/5.0006020.

DOI:10.1063/5.0006020
PMID:32611077
Abstract

Multistability in a dynamical system has attracted great attention recently for its complex and unexpected states. Since in most chaotic systems coexisting attractors reside in their own individual basin of attraction with a fractal structure, it becomes a challenge to choose correct initial conditions to obtain desired dynamics. Selecting typical dynamics as the basic components in a dynamical sequence and then arranging them in the phase space in a desired order make the multistability transparent and controllable in the domain of initial conditions; thereafter, one can identify an attractor according to its initial sequence. Dynamics editing provides an effective technique to select typical attractors under different system parameters to form a flexible sequence in the phase space, which shows great potential for chaos-based secure communications.

摘要

动力系统中的多稳定性因其复杂和意外的状态而引起了极大的关注。由于在大多数混沌系统中,共存吸引子存在于它们各自具有分形结构的吸引域中,因此选择正确的初始条件以获得所需的动力学成为一项挑战。选择典型的动力学作为动力序列中的基本组件,然后按照所需的顺序在相空间中排列它们,使得在初始条件域中多稳定性变得透明和可控;此后,可以根据其初始序列识别出一个吸引子。动力学编辑提供了一种有效的技术,可以在不同的系统参数下选择典型的吸引子,以在相空间中形成灵活的序列,这在基于混沌的安全通信中显示出了巨大的潜力。

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