Unified Report

The canonical LaTeX unified scientific report source code, compilation instructions, and asset resources.

The canonical scientific report consolidates the theoretical foundations and numerical outcomes of the fractional Chua project.

The LaTeX source code is located in the repository at:

docs/reporte_unificado_chua_fraccionario.tex

1. Report Thematic Structure

The report consolidates historical scripts and results into a formal, auditable academic structure:

  1. Mathematical Theory: Equations of the commensurate Caputo fractional Chua model and analytical equilibria.
  2. Method References: Derivations of regional stability (Matignon plane), Lur’e splits, describing-functions, and the Weyl-Caputo memory bridge.
  3. Library Integration: Maps public Python package endpoints (such as ChuaParameters, EFORKSolver, and load_final_candidate_records()) directly against the theory.
  4. Validation Evidence: Visual and tabular results of the closed validation stages (01_algebra, 02_lure_df, 03_integrators).
  5. Academic Interpretations: Explains why numerical classifications (such as compatible_with_hiddenness_under_tested_spheres) represent finite-time audit results rather than a global analytical proof of hiddenness.

2. Compilation Instructions

To build the PDF report, navigate to the docs/ folder in the repository and run:

latexmk -pdf -interaction=nonstopmode -halt-on-error reporte_unificado_chua_fraccionario.tex

Using PdfLaTeX

pdflatex -interaction=nonstopmode -halt-on-error reporte_unificado_chua_fraccionario.tex

3. Figures & Assets Resource Map

Figures embedded in the report are copied into the documentation asset folder:

docs/assets/figures/chua_fractional_report/

This includes:

  • API Visualizations: 3D Phase-space, projection planes, and coordinate time-series generated by examples/dynamical_analysis_gallery.py.
  • Basin Maps: Coarse and refined xy-basin cuts demonstrating target attractor regions.
  • Hiddenness Probes: Concentric spherical grid sweeps and hit coordinates around E0,E+,E−E_0, E_+, E_-.
  • Robustness Checks: Trajectory comparison overlays under parameter sweeps of hh, LmLm, and simulation horizons.