杜芬混沌系统的值确定方法的研究基于改进的变换和庞卡雷映射
Jing Zhou1,2, Yaan Li1, Mingzhou Wang2
1School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China.
Entropy (Basel, Switzerland)
|December 23, 2023
概括
使用Duffing混沌振荡器系统检测弱信号通过一种新方法得到了改进. 这种Poincaré映射改进的变量 (PMIPE) 为值确定提供了更高的准确性和简单性.
科学领域:
- 非线性动力学是一种非线性动力学.
- 信号处理 信号处理
- 混沌理论 混沌理论
背景情况:
- 达芬混沌振荡器系统对于弱信号检测至关重要.
- 准确确定混沌到周期过渡的门是具有挑战性的.
- 现有的方法 (梅尔尼科夫,庞卡雷段,相图细分) 缺乏准确性和效率.
研究的目的:
- 开发一种更准确,更简单的方法来确定杜芬混沌振荡器系统中的值.
- 为了增强弱信号检测能力.
主要方法:
- 使用改进的顺序 (IPE),结合信号幅度以获得更好的抗噪.
- 通过将IPE和Poincaré映射 (PM) 结合起来,提出了一个新的度量,Poincaré映射改进的变量 (PMIPE).
主要成果:
- 与传统技术相比,拟议的PMIPE方法显示出更高的准确性.
- 模拟和现实世界水下声信号分析证实了该方法的有效性.
- 该PMIPE方法显示了增强的简单性和稳定性.
结论:
- 在混乱系统的值确定中,PMIPE方法提供了显著的进步.
- 这种技术提高了在具有挑战性的环境中弱信号检测的可靠性和效率.
更多相关视频
08:45Mapping Cortical Dynamics Using Simultaneous MEG/EEG and Anatomically-constrained Minimum-norm Estimates: an Auditory Attention Example
Published on: October 24, 2012
14.7K
10:05Measurement & Analysis of the Temporal Discrimination Threshold Applied to Cervical Dystonia
Published on: January 27, 2018
9.8K
相关概念视频
02:39Entropy
30.2K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
30.2K
01:18Second Order systems II
113
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
113
01:10Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
02:49Second Law of Thermodynamics
23.8K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic...
23.8K
01:20Entropy and the Second Law of Thermodynamics
2.8K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
2.8K
01:24One-Degree-of-Freedom System
490
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...
490