| Naslov: | Integrability of a family of four-dimensional quadratic Lotka–Volterra complex systems |
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| Avtorji: | ID Mastev, Ivan (Avtor)
ID Romanovski, Valery (Avtor) |
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| Datoteke: |  axioms-15-00297-v2.pdf (361,43 KB)
MD5: 9C31539D499FB49E4E041B7FF5BB684E
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Članek v reviji |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | FERI - Fakulteta za elektrotehniko, računalništvo in informatiko
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| Opis: | This work addresses the integrability of four-dimensional quadratic Lotka–Volterra systems exhibiting (1:−1:i:−i) resonance by identifying the parameter constraints required for such properties to exist. Our results show that, within this family, integrability is connected to linearizability and time-reversibility. To establish these results, we combine theoretical and computational methods. On the theoretical side, we use Poincaré–Dulac normal form theory and methods based on Gröbner basis theory. On the computational side, we apply the algorithms described in the paper to compute normal forms and minimal associated prime ideals required for the analysis of the integrability conditions. |
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| Ključne besede: | integrability, linearizability, normal forms, time-reversibility, polynomial systems of ODEs |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 24.03.2026 |
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| Datum sprejetja članka: | 17.04.2026 |
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| Datum objave: | 17.04.2026 |
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| Založnik: | MDPI |
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| Leto izida: | 2026 |
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| Št. strani: | 17 str. |
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| Številčenje: | Vol. 15, issue 4, [article no.] 297 |
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| PID: | 20.500.12556/DKUM-98092  |
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| UDK: | 51 |
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| COBISS.SI-ID: | 278060803 |
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| DOI: | 10.3390/axioms15040297 |
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| ISSN pri članku: | 2075-1680 |
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| Avtorske pravice: | © 2026 by the authors |
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| Datum objave v DKUM: | 15.05.2026 |
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| Število ogledov: | 149 |
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| Število prenosov: | 8 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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