analysis_summary        Create Analysis Summary
analyze_bifurcations    Analyze Bifurcations
analyze_fixed_points    Analyze Fixed Points
annotate_hypotheses     Annotate Hypotheses
bootstrap_parameters    Bootstrap Confidence Intervals for Parameters
check_qualitative_behavior
                        Check Qualitative Behavior
coefficient_table       Generate Coefficient Table
compare_differentiation_methods
                        Compare Differentiation Methods
compare_estimation_methods
                        Compare OLS and GLS Estimation
compare_trajectories    Compare Simulated and Observed Trajectories
compute_derivative      Compute Derivative of a Time Series
compute_derivative_fd   Centered Finite Differences
compute_derivative_savgol
                        Savitzky-Golay Derivative
compute_derivative_spectral
                        Spectral (FFT) Differentiation
compute_derivative_spline
                        Smoothing Spline Derivative
compute_derivative_tvr
                        Total Variation Regularized Differentiation
compute_derivatives     Compute Derivatives for Specified Variables
compute_residuals       Compute Residuals from Symbolic Equation
construct_sde           Construct Stochastic Differential Equation
                        Model
create_transformations
                        Create Candidate Transformations
cross_validate          Cross-Validate Discovered Equation
define_custom_operators
                        Define Custom Operators
diagnose_sampling_frequency
                        Diagnose Sampling Frequency
ed_theme                Default ggplot2 Theme for EmpiricalDynamics
estimate_diffusion_qv   Estimate Diffusion via Quadratic Variation
estimate_initial_values
                        Automatic Initial Value Estimation
estimate_sde_iterative
                        Iterative GLS Estimation for SDEs
exploration             Visual Exploration of Dynamical Structure
explore_dynamics        Comprehensive Dynamics Exploration
export_results          Export Results to Multiple Formats
fit_residual_distribution
                        Fit Residual Distribution
fit_specified_equation
                        Fit Specified Equation
format_equation         Format Equation for Display
generate_report         Generate Analysis Report
get_analysis_template   Get Analysis Template
get_pareto_set          Get Full Pareto Set
list_example_data       List Available Example Datasets
load_example_data       Load Example Dataset
model_comparison_table
                        Generate Model Comparison Table
model_conditional_variance
                        Model Conditional Variance
output                  Output and Report Generation
plot.bifurcation_analysis
                        Plot Bifurcation Diagram
plot.cv_result          Plot CV Results
plot.trajectory_simulation
                        Plot Simulated Trajectories
plot.tvr_derivative     Plot Method for TVR Derivative
plot.validation_result
                        Plot Validation Results
plot_bivariate          Bivariate Scatter Plot
plot_pareto_front       Plot Pareto Front
plot_phase_1d           1D Phase Diagram
plot_residual_diagnostics_panel
                        Plot Residual Diagnostics Panel
plot_surface_3d         3D Response Surface
plot_timeseries         Time Series Plot
plot_trajectory_2d      2D Trajectory Plot
plot_tvr_diagnostic     Diagnostic Plot for TVR Differentiation
predict.variance_model
                        Predict from Variance Model
preprocessing           Preprocessing Functions for Time Series Data
print.cv_result         Print CV Results
print.qualitative_check
                        Print Qualitative Check Results
print.residual_diagnostics
                        Print Residual Diagnostics
print.tvr_derivative    Print Method for TVR Derivative
print.validation_result
                        Print Validation Results
print_summary           Print Analysis Summary
read_empirical_data     Read Empirical Data from File
residual_analysis       Residual Analysis and Stochastic Differential
                        Equations
residual_diagnostics    Comprehensive Residual Diagnostics
save_plots              Save Diagnostic Plots
select_equation         Select Equation from Pareto Front
select_lambda_cv_tvr    Cross-Validation Selection of Lambda for TVR
sensitivity_analysis    Parameter Sensitivity Analysis
setup_julia_backend     Setup Julia Backend
simulate_trajectory     Simulate Trajectory from SDE
specify_variables       Specify Variable Types for Dynamical Analysis
suggest_differentiation_method
                        Suggest Differentiation Method Based on Data
                        Characteristics
symbolic_search         Symbolic Regression and Equation Discovery
symbolic_search_weighted
                        Weighted Symbolic Search
to_latex                Convert Equation to LaTeX
validate_model          Comprehensive Model Validation
validation              Validation of Discovered Equations
