Calculating Lyapunov Exponents for Various Chaotic Systems
MATLAB source code for computing Lyapunov exponents of diverse chaotic systems, including implementation details for numerical algorithms and key functions.
Explore MATLAB source code curated for "混沌系统" with clean implementations, documentation, and examples.
MATLAB source code for computing Lyapunov exponents of diverse chaotic systems, including implementation details for numerical algorithms and key functions.
This documentation presents Simulink-based simulations of Duffing and Lorenz chaotic systems, followed by time-delayed feedback control and synchronization control implementations for the Lorenz system. Additionally, it includes a Simulink-based sliding mode control implementation that is both convenient to setup and demonstrates effective performance.
Implementation of algorithms for calculating key chaotic system parameters such as Lyapunov exponents, attractor dimensions, and bifurcation parameters
An image encryption program based on chaotic systems implemented in MATLAB with detailed algorithm explanations and key function descriptions
Bifurcation diagrams serve as essential parameters for characterizing chaotic systems, with the Lorenz system used as an example to demonstrate MATLAB implementation of bifurcation diagram generation
Compute Lyapunov exponents for diverse chaotic systems using MATLAB, with provisions for integrating custom algorithms to enhance analysis and understanding of chaotic dynamics.
This article provides comprehensive guidance on calculating Lyapunov exponents and constructing Poincaré sections for chaotic systems, including algorithm explanations and implementation approaches using numerical methods.
A MATLAB-based implementation for calculating Lyapunov exponents across diverse chaotic systems, featuring efficient algorithms and practical usability
Simulation programs essential for chaotic systems, providing value for both professionals and beginners in nonlinear dynamics research. These implementations typically involve numerical methods like Runge-Kutta integration, phase space reconstruction, and Lyapunov exponent calculation algorithms.
Implementation of bifurcation diagram plotting for chaotic systems during the transition from small periodic states to chaotic states using MATLAB