| Title: | On the integrability of persistent quadratic three-dimensional systems |
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| Authors: | ID Ferčec, Brigita (Author)
ID Žulj, Maja (Author)
ID Mencinger, Matej (Author) |
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| Files: |  mathematics-12-01338.pdf (334,34 KB)
MD5: 7105962FDD22FB87A8FF1D482E88BA83
 https://www.mdpi.com/2227-7390/12/9/1338
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
FNM - Faculty of Natural Sciences and Mathematics
FE - Faculty of Energy Technology
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| Abstract: | We consider a nine-parameter familiy of 3D quadratic systems, x˙ = x + P2(x, y, z), y˙ = −y +
Q2(x, y, z), z˙ = −z + R2(x, y, z), where P2, Q2, R2 are quadratic polynomials, in terms of integrability.
We find necessary and sufficient conditions for the existence of two independent first integrals of
corresponding semi-persistent, weakly persistent, and persistent systems. Unlike some of the earlier
works, which primarily focus on planar systems, our research covers three-dimensional spaces,
offering new insights into the complex dynamics that are not typically apparent in lower dimensions. |
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| Keywords: | ordinary differential equations, three-dimensional systems, integrability problem, persistent systems |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 28.03.2024 |
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| Article acceptance date: | 24.04.2024 |
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| Publication date: | 28.04.2024 |
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| Publisher: | MDPI |
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| Year of publishing: | 2024 |
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| Number of pages: | 12 str. |
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| Numbering: | Vol. 12, no. 9, [article no.] 1338 |
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| PID: | 20.500.12556/DKUM-88769  |
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| UDC: | 517.91 |
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| ISSN on article: | 2227-7390 |
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| COBISS.SI-ID: | 196478979 |
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| DOI: | 10.3390/math12091338 |
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| Copyright: | © 2024 by the authors |
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| Publication date in DKUM: | 23.05.2024 |
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| Views: | 416 |
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| Downloads: | 44 |
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| Metadata: |    |
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| Categories: | Misc.
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