ABMVAFracSim software package for studying the fractional van der Pol-Airy oscillator

Salimova, A.I., Parovik, R.I., Салимова, А.И., Паровик, Р.И.

Ҳисоблаш ва амалий математика муаммолари · 2025-yil

Annotatsiya

In the article, using the ABMVAFracSim software package developed in the Python programming language, the fractional oscillatory system of Van der Pol-Airy is investigated. The fractional Van der Pol-Airy oscillator is a nonlinear differential equation with fractional derivatives, which are understood in the Gerasimov-Caputo sense. In the software package, the Adams-Bashforth-Multon numerical algorithm from the predictor corrector family was implemented for studying the fractional Van der Pol-Airy oscillator. Also, the ability to visualize the simulation results is implemented- to build oscillograms and phase trajectories, as well as save them for subsequent analysis. The simulation results can also be saved in text files. In the work, a study of the dynamic modes of the fractional Van der Pol-Airy oscillator is carried out, oscillograms and phase trajectories are built for different values of the control parameters. The operation of the ABM VAFracSim software package is described.

Maqola ma’lumotlari
MualliflarSalimova, A.I., Parovik, R.I., Салимова, А.И., Паровик, Р.И.
JurnalҲисоблаш ва амалий математика муаммолари
NashriyotТошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази
ISSN2181-8460, 2181-046X
Nashr sanasi2025-05-15
Son2
Betlar17-29
TilIngliz
Ilmiy sohaTexnika
DOI10.71310/pcam.2_64.2025.02
Indeksga qo‘shilgan2026-08-27

DOI: 10.71310/pcam.2_64.2025.02 · Maqolaning asl sahifasi

Kalit so‘zlar

fractional van der Pol-Airy oscillator, oscillograms, Phyton, phase trajecto ries, Adams-Bashforth-Multon method, дробный осциллятор Ван дер Поля-Эйри, осциллограммы, Phyton, фазовые траектории, метод Адамса-Башфорта-Мултона

Ilmiy soha

Texnika

Iqtibos keltirish

APASalimova, A.I., Parovik, R.I., Салимова, А.И., & Паровик, Р.И. (2025). ABMVAFracSim software package for studying the fractional van der Pol-Airy oscillator. Ҳисоблаш ва амалий математика муаммолари, (2), 17-29. https://doi.org/10.71310/pcam.2_64.2025.02
GOST (OAK)Salimova, A.I. va b. ABMVAFracSim software package for studying the fractional van der Pol-Airy oscillator // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 2. – P. 17-29. – DOI: 10.71310/pcam.2_64.2025.02.
MLASalimova, A.I., Parovik, R.I., Салимова, А.И., and Паровик, Р.И. “ABMVAFracSim software package for studying the fractional van der Pol-Airy oscillator.” Ҳисоблаш ва амалий математика муаммолари, (2), 17-29, 2025. https://doi.org/10.71310/pcam.2_64.2025.02
ChicagoSalimova, A.I., Parovik, R.I., Салимова, А.И., and Паровик, Р.И. “ABMVAFracSim software package for studying the fractional van der Pol-Airy oscillator.” Ҳисоблаш ва амалий математика муаммолари, (2), 17-29 (2025). https://doi.org/10.71310/pcam.2_64.2025.02
HarvardSalimova, A.I., Parovik, R.I., Салимова, А.И., and Паровик, Р.И (2025) ‘ABMVAFracSim software package for studying the fractional van der Pol-Airy oscillator’, Ҳисоблаш ва амалий математика муаммолари, (2), 17-29. https://doi.org/10.71310/pcam.2_64.2025.02
BibTeX
@article{salimovaai2025,
  title = {ABMVAFracSim software package for studying the fractional van der Pol-Airy oscillator},
  author = {Salimova, A.I. and Parovik, R.I. and Салимова, А.И. and Паровик, Р.И.},
  journal = {Ҳисоблаш ва амалий математика муаммолари},
  year = {2025},
  number = {2},
  pages = {17-29},
  doi = {10.71310/pcam.2_64.2025.02},
  url = {https://doi.org/10.71310/pcam.2_64.2025.02}
}

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