基于电容闭环耦合的蔡氏电路系统同步控制研究
Synchronous control study of Chua circuit system via capacitive closed-loop coupling
AI总结：
本文提出利用电容器对三个不同初始条件的双涡旋蔡氏电路进行闭环耦合，发现存在特定耦合强度区间可实现快速完全同步，而单向耦合无法实现，并通过仿真实验验证了该结论。
摘要：
非线性电路的同步控制在许多领域具有重要意义。本文使用电容器对三个具有相同电路参数和不同初始条件的双涡旋吸引子蔡氏电路进行闭环耦合，并研究了相应的同步过程和同步效果。研究发现，对于电容器，闭环耦合能够使三个蔡氏电路完全同步。并且存在一个可计算的临界耦合强度 $δ_{critical}^C$，当耦合强度介于临界耦合强度 $δ_{critical}^C$ 和最大耦合强度 $δ_{max}^C$ 之间时，这三个电路能够非常快速地达到完全同步。此外，结果表明，单向耦合无法使电路系统达到完全同步。最后，我们还通过电路仿真实验验证了计算的正确性。
英文摘要：
Synchronous control of nonlinear circuits is of great importance in many fields. In this paper, a capacitor is used for closed-loop coupling of three dual-vortex attractor Chua circuits with the same circuit parameters and different initial conditions, and the corresponding synchronization processes and synchronization effects are investigated. It is found that, for the capacitor, the closed-loop coupling can completely synchronize the three Chua circuits. And there exists a critical coupling strength $δ_{critical}^C$ that can be calculated, and when the coupling strength is between the critical coupling strength $δ_{critical}^C$ and the upper coupling strength $δ_{max}^C$, the three circuits can be completely synchronized very quickly. Moreover, the results show that the unidirectional coupling cannot make the circuit system completely synchronized. Finally, we also verify the correctness of the calculation by circuit simulation experiments.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
