混沌动态在一个类的一般化memristive地图的动态
Iram Hussan1, Manyu Zhao1, Xu Zhang1
1Department of Mathematics, Shandong University, Weihai, Shandong 264209, China.
Chaos (Woodbury, N.Y.)
|November 14, 2024
概括
非线性系统中的memristor内存效应会产生复杂的动态. 这项研究引入了一个离散的记忆系统模型,展示了多个共存的吸引子的混乱和超混乱行为,并通过硬件实验验证.
科学领域:
- 非线性动力学是一种非线性动力学.
- 混沌理论 混沌理论
- 固态物理 固态物理
背景情况:
- 记忆器表现出影响非线性系统动态的记忆效应.
- 一般化的欧姆定律描述了非线性电压-电流关系,与经典的线性欧姆定律不同.
- 记忆系统为复杂的动态行为和新型应用提供了潜力.
研究的目的:
- 介绍和研究一个使用一般化的欧姆定律的离散记忆系统模型.
- 在这个模型中探索复杂的动态行为,包括混乱和超级混乱.
- 用硬件实现实验验证模型的预测.
主要方法:
- 用一个概括的欧姆定律 (立方函数) 建模离散的记忆系统.
- 分析动态行为使用Lyapunov指数来识别混乱和超级混乱.
- 在硬件设备上实现记忆地图,用于实验信号采集.
主要成果:
- 证明了具有一个或两个正的利亚普诺夫指数的吸引子的存在,表明混乱和超混乱的动态.
- 观察到无限多个吸引力的共存,突出显示了该系统丰富的动态复杂性.
- 通过实验获得模拟电压信号,证实了内存图的硬件实现.
结论:
- 离散的记忆系统模型与一般化的欧姆定律展示了丰富而复杂的动态,包括混乱和超级混乱.
- 这项研究证实了memristors在产生复杂动态方面的潜力,这对未来的应用有意义.
- 实验验证支持理论发现和记忆系统的实际实施.
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