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University of Zielona Góra

(Uniwersytet Zielonogórski)

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Source data for: Integrability of non-homogeneous Hamiltonian systems with gyroscopic coupling

Version 1.0

Szumiński, Wojciech, 2026, "Source data for: Integrability of non-homogeneous Hamiltonian systems with gyroscopic coupling", https://doi.org/10.18150/KEZ06T, RepOD, V1

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Description

This dataset contains the numerical data and computational files supporting the results presented in the associated publication “Integrability of non-homogeneous Hamiltonian systems with gyroscopic coupling”. The deposited materials include high-resolution PDF versions of the figures presented in the article and Wolfram Mathematica notebooks used to perform the numerical computations and generate the corresponding graphical results.

The Mathematica notebooks contain the computational procedures, parameter values and numerical settings used to construct the Poincaré sections and other numerical results presented in the publication. The files allow the numerical analysis to be reproduced and provide access to the computational data underlying the corresponding figures. File names are organized so that the Mathematica notebooks and PDF files can be associated with the respective numerical experiments and figures.

The numerical computations and visualization of the results were performed using Wolfram Mathematica. The deposited data were generated in the framework of the research project “Integrability, non-integrability and chaos in multi-dimensional dynamical systems”, funded by the National Science Centre, Poland (NCN), project no. 2020/39/D/ST1/01632.

A detailed description of the mathematical model, parameter choices, computational methodology and interpretation of the numerical results is provided in the associated publication: W. Szumiński and A. J. Maciejewski, “Integrability of non-homogeneous Hamiltonian systems with gyroscopic coupling”, Nonlinear Dynamics 114, 435 (2026), DOI: 10.1007/s11071-026-12309-x. Additional information on the organization and contents of the deposited files is provided in the README.txt file.

(2026)

Subject

Mathematical Sciences; Physics

Keyword

Hamiltonian systems, Non-homogeneous potentials, Gyroscopic terms, Integrability, Differential Galois theory, Poincaré sections

Related Publication

Szumiński, W., Maciejewski, A.J. Integrability of non-homogeneous Hamiltonian systems with gyroscopic coupling. Nonlinear Dyn 114, 435 (2026). https://doi.org/10.1007/s11071-026-12309-x doi: https://doi.org/10.1007/s11071-026-12309-x

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		README_Source_data_gyroscopic_coupling.txt Plain Text - 2.2 KB - Aug 11, 2026 - 0 Downloads MD5: 006acf27e039d2b285c8b28ad1267961 License: CC0 Creative Commons Zero 1.0	Preview Download
		Fig_1a.pdf Adobe PDF - 410.1 KB - Aug 11, 2026 - 3 Downloads MD5: 63a971550460de0d686c647a291e4962 License: CC BY - Creative Commons Attribution 4.0	Preview Download
		Fig_1b.pdf Adobe PDF - 523.5 KB - Aug 11, 2026 - 0 Downloads MD5: 599a9076542c21d1a4e78c057f98f2a9 License: CC BY - Creative Commons Attribution 4.0	Preview Download
		Fig_2a.pdf Adobe PDF - 485.1 KB - Aug 11, 2026 - 0 Downloads MD5: dc72ae5d22c722f7d534aaed83c60492 License: CC BY - Creative Commons Attribution 4.0	Preview Download
		Fig_2b.pdf Adobe PDF - 659.9 KB - Aug 11, 2026 - 0 Downloads MD5: 04402b6244615bde487d431fdfbf0371 License: CC BY - Creative Commons Attribution 4.0	Preview Download
		Fig_3e.pdf Adobe PDF - 1.1 MB - Aug 11, 2026 - 0 Downloads MD5: 889cca83a19b92a3edc27eff6fdaf244 License: CC BY - Creative Commons Attribution 4.0	Preview Download
		Fig_3f.pdf Adobe PDF - 576.1 KB - Aug 11, 2026 - 0 Downloads MD5: 5a7dd156866a1495f4ba2ff4e76a6418 License: CC BY - Creative Commons Attribution 4.0	Preview Download
		Fig_3g.pdf Adobe PDF - 908.6 KB - Aug 11, 2026 - 0 Downloads MD5: 06e8b624bb8f9fb4dd0518f366764222 License: CC BY - Creative Commons Attribution 4.0	Preview Download
		Fig_3h.pdf Adobe PDF - 940.8 KB - Aug 11, 2026 - 0 Downloads MD5: 127b5fca7f0620bf2cfe9ecc2f0b1a99 License: CC BY - Creative Commons Attribution 4.0	Preview Download
		Fig_4.pdf Adobe PDF - 248.5 KB - Aug 11, 2026 - 3 Downloads MD5: ec08b30ec32ebf7241923b9b738c4e13 License: CC BY - Creative Commons Attribution 4.0	Preview Download

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