Various patterns of coexisting attractors in a hyperchaotic map

被引:0
作者
Haohui Gu
Chunbiao Li
Yongxin Li
Xizhai Ge
Tengfei Lei
机构
[1] Nanjing University of Information Science and Technology,School of Artificial Intelligence
[2] Nanjing University of Information Science and Technology,Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET)
[3] Qilu Institute of Technology,School of Computer and Information Engineering
来源
Nonlinear Dynamics | 2023年 / 111卷
关键词
Hyperchaotic map; Offset boosting; Coexisting attractors;
D O I
暂无
中图分类号
学科分类号
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:11
相关论文
共 162 条
[1]  
Wu F(2022)Reproduce the biophysical function of chemical synapse by using a memristive synapse Nonlinear Dyn. 109 2063-2084
[2]  
Guo Y(2018)Selection of spatial pattern on resonant network of coupled memristor and Josephson junction Commun. Nonlinear Sci. Numer. Simul. 65 79-90
[3]  
Ma J(2022)Regulating memristive neuronal dynamical properties via excitatory or inhibitory magnetic field coupling Nonlinear Dyn. 110 1-13
[4]  
Zhang G(2022)An optical image encryption algorithm based on a fractional-order laser hyperchaotic system Int. J. Bifurc. Chaos 32 2250035-10572
[5]  
Wu F(2022)The influence of autapse on synchronous firing in small-world neural networks Physica A 594 126956-19
[6]  
Hayat T(2022)A Self-reproduction hyperchaotic map with compound lattice dynamics IEEE Trans. Ind. Electron. 69 10564-1140
[7]  
Ma J(2022)Rulkov neural network coupled with discrete memristors Network 33 1-4944
[8]  
Wen Z(2021)Initials-boosted coexisting chaos in a 2-D sine map and its hardware implementation IEEE TII 17 1132-8850
[9]  
Wang C(2022)Parallel bi-memristor hyperchaotic map with extreme multistability Chaos Solitons Fractals 160 112273-1165
[10]  
Deng Q(2021)A double-memristor hyperchaotic oscillator with complete amplitude control IEEE Trans. Circuits Syst. I Regul. Pap. 68 4935-15