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pynamicalsys: A Python toolkit for the analysis of dynamical systems

Author

Listed:
  • Sales, Matheus Rolim
  • de Souza, Leonardo Costa
  • Borin, Daniel
  • Mugnaine, Michele
  • Szezech, José Danilo
  • Viana, Ricardo Luiz
  • Caldas, Iberê Luiz
  • Leonel, Edson Denis
  • Antonopoulos, Chris G.

Abstract

Since Lorenz’s seminal work on a simplified weather model, the numerical analysis of nonlinear dynamical systems has become one of the main subjects of research in physics. Despite of that, there remains a need for accessible, efficient, and easy-to-use computational tools to study such systems. In this paper, we introduce ▪ , a simple yet powerful open-source Python module for the analysis of nonlinear dynamical systems. In particular, ▪ implements tools for trajectory simulation, bifurcation diagrams, Lyapunov exponents and several others chaotic indicators, period orbit detection and their manifolds, as well as escape and basins analysis. We demonstrate the capabilities of ▪ through a series of examples that reproduces well-known results in the literature while developing the mathematical analysis at the same time. We also provide the Jupyter notebook containing all the code used in this paper, including performance benchmarks. ▪ is freely available via the Python Package Index (PyPI) and is intended to support both research and teaching in nonlinear dynamics.

Suggested Citation

  • Sales, Matheus Rolim & de Souza, Leonardo Costa & Borin, Daniel & Mugnaine, Michele & Szezech, José Danilo & Viana, Ricardo Luiz & Caldas, Iberê Luiz & Leonel, Edson Denis & Antonopoulos, Chris G., 2025. "pynamicalsys: A Python toolkit for the analysis of dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p3:s0960077925012822
    DOI: 10.1016/j.chaos.2025.117269
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    References listed on IDEAS

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