MATLAB Demonstrations of Chaotic Models
MATLAB demonstration programs implementing chaotic models including Rossler, Julia, Lorenz, and Mandelbrot functions with code examples and visualization techniques
Numerical Computation of Six Important Chaotic Models Including Lorenz System
Utilizing MATLAB mathematical software for numerical computation of six significant chaotic models including the Lorenz system, while simulating unique properties of various chaotic systems such as chaotic attractors, period-doubling bifurcations, sensitivity to initial conditions, phase portraits, and bifurcation diagrams. Through observation and analysis of these characteristics, we deepen our understanding of chaotic phenomena. Implementation involves MATLAB's ODE solvers (ode45/ode15s) for system integration and specialized plotting functions for visualization.
Chaotic Model Constructed Using Logistic Function
A chaotic model implemented through the logistic function that generates chaotic sequences, with the ability to produce sequences within arbitrary intervals through simple parameter modifications. This MATLAB-compatible code demonstrates the logistic map implementation with adjustable control parameters and output range scaling.
MATLAB Demonstrations of Chaotic Models
MATLAB implementation and visualization of various chaotic systems including Rossler attractor, Lorenz system, Julia set, and Mandelbrot set
Logistic Map Implementation for Chaotic Models
Code Implementation and Algorithm Analysis of the Classic Chaotic Logistic Map Model