Various patterns of coexisting attractors in a hyperchaotic map

被引：36
作者：
Gu, Haohui [1 ]
Li, Chunbiao [1 ,2 ]
Li, Yongxin [1 ,2 ]
Ge, Xizhai [1 ]
Lei, Tengfei [3 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Artificial Intelligence, Nanjing 210044, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Jiangsu Collaborat Innovat Ctr Atmospher Environm, Nanjing 210044, Peoples R China
[3] Qilu Inst Technol, Sch Comp & Informat Engn, Jinan 250200, Peoples R China
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Hyperchaotic map; Offset boosting; Coexisting attractors; CHAOTIC ATTRACTORS; MEMRISTOR; OSCILLATOR; AMPLITUDE; NETWORK;
D O I：
10.1007/s11071-022-08201-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A hyperchaotic map with various patterns of coexisting attractors is found by introducing trigonometric functions. The periodicity of trigonometric functions, as a key factor of coexisting attractors, brings various possibilities for attractor self-producing. By introducing orthorhombic feedback of sinusoidal and cosine functions, the newly constructed multistability can be flexibly controlled, and consequently layered coexisting attractors, externally wrapped coexisting attractors, and scissor-type coexisting attractors are produced. As a result, the offset boosting of initial conditions may draw out chaotic signals with desired amplitudes and polarities. Furthermore, such coexisting attractors may connect and grow in the phase space. This new finding is further verified based on the platform STM32.
引用
收藏
页码：7807 / 7818
页数：12
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