MATLAB Dynamical Systems and Time Series Analysis Toolbox
MATLAB Dynamical Systems and Time Series Analysis Toolbox: This comprehensive toolbox enables analysis of dynamical systems and time series data, supporting customization for Ordinary Differential Equations (ODE) and Stochastic Differential Equations (SDE). All analytical methods are encapsulated within modular functions accessible via command-line interface or graphical user interface (GUI). Key functionalities include: ODE/SDE solvers, map integration for time series analysis, filtering techniques, normalization/standardization procedures, histogram/2D histogram visualization, Auto-Correlation Function (ACF), Mutual Information Index (MAI), Fast Fourier Transform (FFT), maximum Lyapunov exponent calculation, and pattern recognition algorithms. Dynamical system analysis features comprise Poincaré section generation, bifurcation diagram plotting, and Lyapunov exponent computation routines.