A Statistical Analysis of Non-linear Equations Based on a Linear Combination of Generalized Moments(Nonlinear Problems)
スポンサーリンク
概要
- 論文の詳細を見る
A moment matrix analysis (MMA) method can derive macroscopic statistical properties such as moments, response time, and power spectra ofnon-linear equations without solving the equations. MMA expands a non-linear equation into simultaneous linear equations of moments, and reduces it to a linear equation of their coefficient matrix and a moment vector. We can analyze the statistical properties from the eigenvalues and eigenvectors of the coefficient matrix. This paper presents (1) a systematic procedure to linearize non-linear equations and (2) an expansion of the previous work of MMA to derive the statistical properties of various non-linear equations. The statistical properties of the logistic map were evaluated by using MMA and computer simulation, and it is shown that the proposed systematic procedure was effective and that MMA could accurately approximate the statistical properties of the logistic map even though such a map had strong non-linearity.
- 一般社団法人電子情報通信学会の論文
- 2004-12-01
著者
関連論文
- CDMA Transmission Power Control Suitable for Multimedia IP Packet Communications
- Approximation and Analysis of Non-linear Equations in a Moment Vector Space(Nonlinear Problems)
- Analysis Based on Moment Vector Equation for Interacting Identical Elements with Nonlinear Dynamics
- Global Nonlinear Optimization Based on Wave Function and Wave Coefficient Equation
- A Congestion Control Algorithm Suitable for Multimedia IP Communications over Mobile Networks
- Global Nonlinear Optimization Based on Eigen Analysis of Schrodinger-type Equation
- Moment Vector Equation for Nonlinear Systems and Its Application to Optimal Control
- A Statistical Analysis of Non-linear Equations Based on a Linear Combination of Generalized Moments(Nonlinear Problems)
- Eigen Analysis of Space Embedded Equation in Moment Vector Space for Multi-Dimensional Chaotic Systems
- Eigen Analysis of Moment Vector Equation for Interacting Chaotic Elements Described by Nonlinear Boltzmann Equation
- Reinforcement Learning for Continuous Stochastic Actions : An Approximation of Probability Density Function by Orthogonal Wave Function Expansion(Nonlinear Problems)