电容器耦合光电管串联FHN电路的完全同步控制  

Complete Sy nchronization Control of FHN Circuits in Series of Capacitor-coupled Photocells

作　　者：王小童 蒋玲凤 王馨玥 WANG Xiaotong;JIANG Lingfeng;WANG Xinyue(School of Mathematics and Physics,Lanzhou Jiaotong University,Gansu Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《河北师范大学学报（自然科学版）》2024年第4期366-375,共10页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11962012)。

摘　　要：混沌现象是自然界中普遍存在的非线性动力系统的独特行为,混沌同步现象在电子学、医学和保密通信等领域应用广泛.首先,在FHN电路的电容器所在支路上通过串联一个光电管来模拟感光神经元,有效增强了神经元电路的物理响应,并对其动力学行为进行分析发现,该电路在不同的外界刺激作用下可以出现不同的放电状态.其次,通过数值模拟分类讨论了,电容器耦合两个相同放电态耦合系统的完全同步现象以及两个不同放电态耦合系统的完全同步现象.结果表明,合适的耦合强度可以使两个相同的放电态耦合系统达到完全同步,但不能使两个不同的放电态耦合系统实现同步.该电路可以产生更复杂的混沌行为,因此通信保密性更强,所得结果可以为保密通信研究提供参考价值.Chaos is a unique behavior of a nonlinear dynamical system that exists in nature,and chaos synchronization is widely used in electronics,medicine,and secure communication.In this paper,a phototube is connected in series on the branch where the capacitor of the FHN circuit is located to simulate the photosensitive neuron,which effectively enhances the physical response of the neuronal.Its dynamic behavior is analyzed.It is found that the circuit can appear in different discharge states under various external stimuli.The complete synchronization of two same discharge coupling systems and two different discharge coupling systems is discussed by numerical simulation classification.The results show that two same discharge coupling systems can achieve complete synchronization,but two different discharge coupling systems cannot achieve synchronization.The circuit can produce more complex chaotic behavior,Which makes the communication security be more robust.The research in this paper for secure communication.

关 键 词：同步分析 完全同步 光电管 耦合强度 光敏神经元 

分 类 号：O322[理学—一般力学与力学基础] O193[理学—力学]