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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Implementing a memristive Van der Pol oscillator coupled to a linear oscillator: synchronization and application to secure communication
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Implementing a memristive Van der Pol oscillator coupled to a linear oscillator: synchronization and application to secure communication

机译：实现与线性振荡器耦合的忆阻Van der Pol振荡器：同步和在安全通信中的应用

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摘要

This paper investigates the dynamics of a memristor-based Van der Pol oscillator coupled to a linear circuit (VDPCL). This chaotic oscillator is a modification of the classical Van der Pol coupled to a linear circuit, and is obtained by replacing the classical cubic nonlinearity by the memristive one. The memristive VDPCL oscillator, in addition to having a very special stability property, exhibits interesting spectral characteristics, which makes it suitable for chaos-based secure communication applications. The memristor is realized by using off-the-shelf components. The basic properties of the circuit are analyzed by means of bifurcation analysis. Chaotic attractors from numerical and experimental analysis are presented, followed by a comparison of results obtained from the modified VDPCL oscillator and those from the classical VDPCL oscillator. An application to synchronization and chaos secure communication is also presented.
机译：本文研究耦合到线性电路（VDPCL）的基于忆阻器的Van der Pol振荡器的动力学。该混沌振荡器是耦合到线性电路的经典范德波尔（Van der Pol）的改进，并且是通过用忆阻振荡器代替经典三次非线性而获得的。忆阻型VDPCL振荡器除了具有非常特殊的稳定性外，还具有令人感兴趣的频谱特性，这使其适用于基于混沌的安全通信应用。忆阻器是通过使用现成的组件来实现的。通过分叉分析来分析电路的基本特性。介绍了数值和实验分析中的混沌吸引子，然后比较了从改进的VDPCL振荡器和经典VDPCL振荡器获得的结果。还提出了一种用于同步和混乱安全通信的应用。

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