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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2014, Volume 17, Number 2, Pages 191–201 (Mi sjvm542)  

This article is cited in 33 scientific papers (total in 33 papers)

Numerical and physical modeling of the Lorenz system dynamics

A. N. Pchelintsev

Tambov State Technical University, 106 Sovetskaya St., Tambov, 392000, Russia
References:
Abstract: This paper describes a modification of a power series for the construction of approximate solutions of the Lorenz system. The results of the computer-aided simulation are presented. Also, the physical modeling of the dynamics of the Lorenz system of the processes occurring in the circuit are considered.
Key words: Lorenz system, analog multiplier, integrator, method of power series, radius of convergence, free convection, Lorenz attractor.
Received: 31.01.2013
Revised: 07.06.2013
English version:
Numerical Analysis and Applications, 2014, Volume 7, Issue 2, Pages 159–167
DOI: https://doi.org/10.1134/S1995423914020098
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: A. N. Pchelintsev, “Numerical and physical modeling of the Lorenz system dynamics”, Sib. Zh. Vychisl. Mat., 17:2 (2014), 191–201; Num. Anal. Appl., 7:2 (2014), 159–167
Citation in format AMSBIB
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\by A.~N.~Pchelintsev
\paper Numerical and physical modeling of the Lorenz system dynamics
\jour Sib. Zh. Vychisl. Mat.
\yr 2014
\vol 17
\issue 2
\pages 191--201
\mathnet{http://mi.mathnet.ru/sjvm542}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3409480}
\transl
\jour Num. Anal. Appl.
\yr 2014
\vol 7
\issue 2
\pages 159--167
\crossref{https://doi.org/10.1134/S1995423914020098}
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  • https://www.mathnet.ru/eng/sjvm542
  • https://www.mathnet.ru/eng/sjvm/v17/i2/p191
  • This publication is cited in the following 33 articles:
    1. Sroor M. Elnady, Mohamed El-Beltagy, Ahmed G. Radwan, Mohammed E. Fouda, “A generalized local fractional derivative with applications”, Journal of Computational Physics, 530 (2025), 113903  crossref
    2. Oleg V. Lapshin, Ivan S. Polyakov, Evgeny N. Boyangin, “Macrokinetics of mixing binary powder compositions, augmented by the DEM method and experimental studies on the chemically reactive system 3Ni – Al”, Powder Technology, 2025, 121074  crossref
    3. Simone Fiori, “A Coordinate-Free Variational Approach to Fourth-Order Dynamical Systems on Manifolds: A System and Control Theoretic Viewpoint”, Mathematics, 12:3 (2024), 428  crossref
    4. Süleyman UZUN, Sezgin Kaçar, Burak Ar{\i}c{\i}oğlu, “Deep learning based classification of time series of chaotic systems over graphic images”, Multimed Tools Appl, 83:3 (2024), 8413  crossref
    5. Mohammad H. Akrami, Kolade M. Owolabi, “On the solution of fractional differential equations using Atangana's beta derivative and its applications in chaotic systems”, Scientific African, 21 (2023), e01879  crossref
    6. Devisha Tiwari, Bhaskar Mondal, Sunil Kumar Singh, Deepika Koundal, “Lightweight encryption for privacy protection of data transmission in cyber physical systems”, Cluster Comput, 26:4 (2023), 2351  crossref
    7. M. V. Lyakhovets, G. V. Makarov, A. S. Salamatin, “Data generation for digital simulators of metallurgical process operators”, Izv. vysš. učebn. zaved., Čern. metall., 66:2 (2023), 236  crossref
    8. Gleb Vodinchar , Lyubov Feshchenko, “Fractal Properties of the Magnetic Polarity Scale in the Stochastic Hereditary αω-Dynamo Model”, Fractal Fract, 6:6 (2022), 328  crossref
    9. Jiri Petrzela, “Chaos in Analog Electronic Circuits: Comprehensive Review, Solved Problems, Open Topics and Small Example”, Mathematics, 10:21 (2022), 4108  crossref
    10. Pchelintsev A.N., “On the Poisson Stability to Study a Fourth-Order Dynamical System With Quadratic Nonlinearities”, Mathematics, 9:17 (2021), 2057  crossref  isi  scopus
    11. Cerdan L., “Ultrashort Pulse Generation in Nanolasers By Means of Lorenz-Haken Instabilities”, Ann. Phys.-Berlin, 533:9 (2021), 2100122  crossref  mathscinet  isi  scopus
    12. Shatalov M., Surulere S., Phadime L., Mthombeni T., “Parameter Identification of Lorenz System With Incomplete Information: Case of One Known and Two Unknown Functions”, Int. J. Eng. Res. Afr., 55 (2021), 103–121  crossref  isi  scopus
    13. Siyu Guo, Albert C. J. Luo, “A Family of Periodic Motions to Chaos with Infinite Homoclinic Orbits in the Lorenz System”, Lobachevskii J Math, 42:14 (2021), 3382  crossref
    14. Vodinchar G., “Hereditary Oscillator Associated With the Model of a Large-Scale Alpha Omega-Dynamo”, Mathematics, 8:11 (2020), 2065  crossref  isi  scopus
    15. Polunovskii A.A., “Time Expansions of Equations of Mathematical Physics”, Differ. Equ., 56:3 (2020), 381–391  crossref  mathscinet  zmath  isi  scopus
    16. Driss Z., Mansouri N., “Synchronisation of Chaotic Systems Using Neural Generalised Predictive Control”, Int. J. Autom. Control, 14:4 (2020), 377–398  crossref  isi
    17. F. Prebianca, D. W. C. Marcondes, H. A. Albuquerque, M. W. Beims, “Exploring an experimental analog Chua's circuit”, Eur. Phys. J. B, 92:6 (2019), 134  crossref  isi  scopus
    18. J.-M. Li, Yu.-L. Wang, W. Zhang, “Numerical simulation of the Lorenz-type chaotic system using barycentric Lagrange interpolation collocation method”, Adv. Math. Phys., 2019 (2019), 1030318  crossref  mathscinet  zmath  isi  scopus
    19. A. N. Pchelintsev, A. A. Polunovskii, I. Yu. Yukhanova, “Metod garmonicheskogo balansa dlya otyskaniya priblizhennykh periodicheskikh reshenii sistemy Lorentsa”, Vestnik rossiiskikh universitetov. Matematika, 24:126 (2019), 187–203  mathnet  crossref  elib
    20. L. Bougoffa, S. Al-Awfi, S. Bougouffa, “A complete and partial integrability technique of the Lorenz system”, Results Phys., 9 (2018), 712–716  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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