一个类的n-D哈密尔顿保守的混乱系统与三终端的memristor:建模,动态分析和FPGA实施
Ye Yuan1, Fei Yu1, Bohong Tan1
1School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China.
Chaos (Woodbury, N.Y.)
|January 9, 2025
概括
研究人员通过将三端记忆器纳入哈密尔顿系统,开发出了一种新类的记忆性哈密尔顿保守混沌系统 (MHCCS). 这些MHCCS表现出增强的混乱动态,并显示出安全通信和随机数生成中的应用的前景.
科学领域:
- 非线性动力学和混沌理论
- 记忆系统 记忆系统
- 复杂的系统复杂的系统.
背景情况:
- 已知memristors可以增强各种系统中的混乱特征.
- 由于严格的哈密尔顿系统构建要求,对记忆性的哈密尔顿保守混沌系统 (MHCCS) 的研究是有限的.
- 现有的哈密尔顿系统往往缺乏用于高级应用所需的复杂动力学.
研究的目的:
- 提出一种用于构建三终端记忆器的新方法.
- 将这些memristors集成到哈密尔顿系统中,以创建一个新的n维MHCCS类.
- 分析开发的MHCCS的动态行为和潜在应用.
主要方法:
- 开发一个三终端的memristor构造方法.
- 将memristor纳入一个哈密尔顿系统以创建n-D MHCCS.
- 4D MHCCS模型的详细动态分析,包括依赖参数的混乱和多稳定性.
- 使用NIST测试验证伪随机数发生器性能.
- 使用现场可编程门阵列 (FPGA) 对物理可实现性的实验验证.
主要成果:
- 成功开发了一种新型的n-D MHCCS类.
- 4D MHCCS模型表现出复杂的动态:保守性,对称性,依赖参数的混乱,极端的多稳定性和广泛的混乱.
- 由于memristor集成,MHCCS保留了保守的特性,同时表现出增强的混乱特性.
- 基于MHCCS的伪随机数发生器表现出极好的随机性.
- 通过FPGA实验证实了物理可实现性.
结论:
- 与传统的保守系统相比,拟议的MHCCS提供了增强的非线性动态和混乱行为.
- 开发的MHCCS作为各种混乱嵌入式系统的有效源.
- 潜在的应用包括安全通信,加密系统和伪随机数生成器.
相关概念视频
01:24One-Degree-of-Freedom System
460
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
460
01:25Multimachine Stability
140
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
140
01:30Current Growth And Decay In RL Circuits
3.7K
The current growth and decay in RL circuits can be understood by considering a series RL circuit consisting of a resistor, an inductor, a constant source of emf, and two switches. When the first switch is closed, the circuit is equivalent to a single-loop circuit consisting of a resistor and an inductor connected to a source of emf. In this case, the source of emf produces a current in the circuit. If there were no self-inductance in the circuit, the current would rise immediately to a steady...
3.7K
01:30Simplified Synchronous Machine Model
177
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
In this model, each generator is connected to a...
177
01:20Relation between Mathematical Equations and Block Diagrams
168
In a spring-mass-damper system, the second-order differential equation describes the dynamic behavior of the system. When transformed into the Laplace domain under zero initial conditions, this equation can be effectively analyzed and manipulated. The transformation into the Laplace domain converts differential equations into algebraic equations, simplifying the process of isolating the output.
168
01:30Three-Dimensional Force System:Problem Solving
625
A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
625