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Degradation analysis of generalized Chua's circuit generator of multi-scroll chaotic attractors and its implementation on PIC32

机译：多滚动混沌吸引子通用Chua电路发生器的降解分析及其在PIC32上的实现

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This work presents necessary conditions to implement numerically and experimentally the discrete version-obtained by using Euler discretization-of the generalized Chua's circuit generator of multi-scroll chaotic attractors. In addition, one degradation analysis for the chaotic dynamics-from the calculation of Lyapunov exponents of discretized version-with respect to the continuous model is reported. Finally, an embedded system is implemented to validate the obtained results by using a microcontroller PIC32 and three digital-to-analog converters.

机译：这项工作提出了通过使用多滚动混沌吸引子的广义Chua电路发生器的欧拉离散化来实现了数控和实验的必要条件。此外，还报道了混沌动力学的一种降级分析 - 从计算离散的版本的Lyapunov指数相对于连续模型的计算。最后，实现了嵌入式系统以通过使用微控制器PIC32和三个数字到模拟转换器来验证所获得的结果。

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来源
《Future Technologies Conference》|2016年|749p|共6页
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作者
Rodrigo Méndez-Ramírez; Adrian Arellano-Delgado; César Cruz-Hernández; Rosa Martha López-Gutiérrez;
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中图分类 TP3-53;
关键词
Chaotic communication; Degradation; Microcontrollers; MATLAB; Generators; Integrated circuit modeling; Mathematical model;

机译：混沌沟通;降解;微控制器;MATLAB;发电机;集成电路建模;数学模型;

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专利

1. A novel approach for constructing high-order Chua's circuit with multi-directional multi-scroll chaotic attractors [J] . Wang C.H., Xu H., Yu F. International journal of bifurcation and chaos in applied sciences and engineering . 2013,第2期

机译：利用多向多滚动混沌吸引子构建高阶蔡氏电路的新方法
2. NONLINEAR IDENTIFICATION AND CLUSTER ANALYSIS OF CHAOTIC ATTRACTORS FROM A REAL IMPLEMENTATION OF CHUA'S CIRCUIT [J] . Luis A. Aguirre, Giovani G. Rodrigues, Eduardo M. A. M. Mendes International journal of bifurcation and chaos in applied sciences and engineering . 1997,第6期

机译：从丘阿电路的实际实现中对混沌吸引子进行非线性识别和聚类分析
3. Generation and circuit implementation of multi-block multidirectional grid multi-scroll chaotic attractors [J] . Chunhua Wang, Xiaowen Luo, Zhao Wan Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2014,第22期

机译：多块多向网格多涡卷混沌吸引子的产生与电路实现
4. Degradation analysis of generalized Chua's circuit generator of multi-scroll chaotic attractors and its implementation on PIC32 [C] . Rodrigo Méndez-Ramírez, Adrian Arellano-Delgado, César Cruz-Hernández, 2016 Future Technologies Conference . 2016

机译：广义Chua多卷混沌吸引子电路的退化分析及其在PIC32上的实现。
5. Algorithms for determination of embedding dimensions for nonlinear analysis of chaotic time series and a study of fractal dimensions and predictabilities of weather attractors over the Eastern United States. [D] . Gao, Shangzuo. 1996

机译：用于确定混沌时间序列非线性分析的嵌入维数的算法，以及美国东部天气吸引子的分形维数和可预测性的研究。
6. Chaos and multi-scroll attractors in RCL-shunted junction coupled Jerk circuit connected by memristor [O] . Jun Ma, Ping Zhou, Bashir Ahmad, -1

机译：RCL分流结耦合忆阻器耦合的Jerk电路中的混沌和多卷吸引子
7. GLOBAL ANALYSIS ON n-SCROLL CHAOTIC ATTRACTORS OF MODIFIED CHUA’S CIRCUIT [O] . Fei Xu, Pei Yu, Xiaoxin Liao 2009

机译：修改过的Chua电路的n-卷混沌吸引子的全局分析

Degradation analysis of generalized Chua's circuit generator of multi-scroll chaotic attractors and its implementation on PIC32

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