Solving Nonlinear Dynamics Equations including Lyapunov and Duffing Equations
Detailed MATLAB implementation for solving Lyapunov, Duffing and other nonlinear dynamics equations with comprehensive code explanations
Bifurcation Diagram Computation Program for 2D Discrete Systems
MATLAB program for computing bifurcation diagrams of two-dimensional discrete systems, widely applicable in nonlinear dynamics and complex economics. This implementation features parameter iteration, system evolution tracking, and can be extended to higher-dimensional discrete mapping systems. The code efficiently visualizes dynamic behavior transitions using built-in plotting functions.
Solving Variable-Parameter Lorenz Equations Using MATLAB
This MATLAB implementation solves variable-parameter Lorenz equations, commonly encountered in nonlinear dynamics and chaos research. The program can also handle similar variable-parameter differential equation systems like Chen system, Lü system, and Rössler system through parameter customization and ODE solver integration.
Poincare Map for Chaos Study in Nonlinear Dynamics
Poincare maps in nonlinear dynamics provide an efficient method to identify periodic, quasi-periodic, or chaotic motions; this program implements Poincare map visualization with numerical integration and cross-section detection algorithms.
Calculating Lyapunov Exponent from Time Series Using Slope Method
This practical utility implements slope-based Lyapunov exponent calculation for time series analysis, widely used in nonlinear dynamics and time series processing with clear algorithmic implementation.
MATLAB Code Implementation for Multifractal Spectrum Calculation
MATLAB implementation for calculating multifractal spectrum with algorithm explanations
Computing the Duffing Equation with MATLAB Implementation
Numerical computation and analysis of the Duffing equation for studying chaotic dynamics in nonlinear vibration systems
Implementation of the Classical Aihara Chaotic Neural Network Model
Program Implementation of the Classical Aihara Chaotic Neural Network Model with Algorithm Explanations
Modern Analytical Approaches Based on Nonlinear Science: Nonlinear Dynamics, Control Theory, and Bifurcation Theory
Advanced analytical methods rooted in nonlinear science disciplines including nonlinear dynamics, control theory, and bifurcation theory for complex system analysis
MATLAB Implementation for Chaotic Time Series Prediction
MATLAB routine for chaotic time series prediction with algorithmic explanations and implementation details