Energy variation rate synchronization for coupled chaotic systems

被引：10
作者：
Yao, Zhao [1 ]
Sun, Kehui [1 ]
He, Shaobo [2 ]
机构：
[1] Cent South Univ, Sch Phys, Changsha 410083, Peoples R China
[2] Xiangtan Univ, Sch Automat & Elect Informat, Xiangtan 411105, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2024年 / 184卷
关键词：
Chaos synchronization; Synchronization principle; Energy variation rate; Field coupling; PROJECTIVE SYNCHRONIZATION;
D O I：
10.1016/j.chaos.2024.114970
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
There are currently two typical principles for chaotic synchronization, the Lyapunov stability principle and the conditional Lyapunov exponent criterion. We describe an alternate chaos synchronization principle using the time derivative of the energy function. The equal energy variation leads to synchronization between two chaotic systems. We elaborate the proposed mechanism in two chaotic synchronization cases, including synchronization of two simplified Lorenz systems and the field coupling synchronization of the chaotic FitzHugh-Nagumo neuronal systems. The theoretical proof and experimental results verify the correctness of the new synchronization mechanism, and it can be applied to synchronization of other chaotic systems.
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页数：7
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