Jove
Visualize
联系我们

相关概念视频

Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

131
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
131
Relation between Mathematical Equations and Block Diagrams01:20

Relation between Mathematical Equations and Block Diagrams

892
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.
892
Difference Equation Solution using z-Transform01:24

Difference Equation Solution using z-Transform

367
The z-transform is a powerful tool for analyzing practical discrete-time systems, often represented by linear difference equations. Solving a higher-order difference equation requires knowledge of the input signal and the initial conditions up to one term less than the order of the equation.
The z-transform facilitates handling delayed signals by shifting the signal in the z-domain, which corresponds to delaying the signal in the time domain, and advancing signals by similarly shifting in the...
367
Second Order systems II01:18

Second Order systems II

171
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.
171
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

401
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
401
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

124
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
124

您也可能阅读

相关文章

通过共同作者、期刊和引用图与本文相关的文章。

排序
Same author

TaGα knockout in wheat causes early heading and short organ length, with dose-dependent effects through various pathways.

TAG. Theoretical and applied genetics. Theoretische und angewandte Genetik·2026
Same author

Knockout of SSIIa in waxy barley blocks starch biosynthesis and increases soluble sugar and Fructan accumulation.

Functional & integrative genomics·2025
Same author

Lactate production by tumor-resident Staphylococcus promotes metastatic colonization in lung adenocarcinoma.

Cell host & microbe·2025
Same author

Electrolyte Additive-Assembled Interconnecting Molecules-Zinc Anode Interface for Zinc-Ion Hybrid Supercapacitors.

Nano-micro letters·2025
Same author

Dipropyl phthalate induces craniofacial chondrogenic defects in zebrafish embryos.

Ecotoxicology and environmental safety·2024
Same author

Sub-nanopores enabling optimized ion storage performance of carbon cathodes for Zn-ion hybrid supercapacitors.

Journal of colloid and interface science·2024
JoVE
x logofacebook logolinkedin logoyoutube logo
关于 JoVE
概览领导团队博客JoVE 帮助中心
作者
出版流程编辑委员会范围与政策同行评审常见问题投稿
图书馆员
用户评价订阅访问资源图书馆顾问委员会常见问题
研究
JoVE JournalMethods CollectionsJoVE Encyclopedia of Experiments存档
教育
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab Manual教师资源中心教师网站
使用条款与条件
隐私政策
政策

相关实验视频

Updated: Sep 9, 2025

Author Spotlight: Exploring Intrinsically Disordered Protein Dynamics Through NMR Relaxation Experiments
09:25

Author Spotlight: Exploring Intrinsically Disordered Protein Dynamics Through NMR Relaxation Experiments

Published on: November 1, 2024

2.1K

非线性整微分方程的贝塞放松差值方案

Xinya Peng1, Leiwei Li1,2, Jia Zhang1

  • 1College of Computer Science and Mathematics, Central South University of Forestry and Technology, Changsha, Hunan, China.

PloS one
|August 29, 2025
PubMed
概括

新的贝塞放松差异方案提高了非线性整微方程的精度和稳定性,这对于模拟具有内存和非局部效应的复杂系统至关重要.

科学领域:

  • 数字分析
  • 计算数学
  • 应用数学

背景情况:

  • 非线性整微方程对于模拟具有内存和非局部效应的复杂系统至关重要.
  • 当处理这些方程中的非线性项时,现有的数值方法可能面临准确性和稳定性的挑战.

研究的目的:

  • 为非线性整微分方程提出新的贝塞放松差异和紧差异方案.
  • 提高这些复杂方程的数值解决方案的准确性和稳定性.
  • 验证拟议方案的有效性和趋同性质.

主要方法:

  • 使用贝塞放松时间离散和二次空间离散,开发贝塞放松差异方案.
  • 构建Besse放松紧差异方案,采用第四阶紧有限差异近似,以提高空间准确性.
  • 在离散的规范中建立无条件的稳定性和最佳的融合.

主要成果:

  • 提出的贝塞放松方案在处理非线性术语方面表现出更高的准确性和稳定性.
  • 数字实验证实这些方案实现了预期的趋同率.
  • 这些方法对各种类型的溶液有效,包括光滑的,单一的和无限制的衍生溶液.

结论:

更多相关视频

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

1.8K
A Guide to Concentration Alternating Frequency Response Analysis of Fuel Cells
11:18

A Guide to Concentration Alternating Frequency Response Analysis of Fuel Cells

Published on: December 11, 2019

6.8K

相关实验视频

Last Updated: Sep 9, 2025

Author Spotlight: Exploring Intrinsically Disordered Protein Dynamics Through NMR Relaxation Experiments
09:25

Author Spotlight: Exploring Intrinsically Disordered Protein Dynamics Through NMR Relaxation Experiments

Published on: November 1, 2024

2.1K
Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

1.8K
A Guide to Concentration Alternating Frequency Response Analysis of Fuel Cells
11:18

A Guide to Concentration Alternating Frequency Response Analysis of Fuel Cells

Published on: December 11, 2019

6.8K
  • 贝塞放松差和紧差方案为非线性整微分方程提供有效和准确的数值解决方案.
  • 这些方法为模拟具有内存和非局部特征的复杂系统提供了强大的方法.
  • 已确定的稳定性和融合性质支持它们在科学建模中的实际应用.