| Title: | Linearizability of 2:-3 resonant systems with quadratic nonlinearities |
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| Authors: | ID Žulj, Maja (Author)
ID Ferčec, Brigita (Author)
ID Mencinger, Matej (Author) |
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| Files: |  Linearizability_of_2_-3_Resonant_Sys-Zulj-2021.pdf (434,06 KB)
MD5: BBC30813175AB42AEE5767825CF865D9
 https://www.mdpi.com/2073-8994/13/8/1510
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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: | FE - Faculty of Energy Technology
FNM - Faculty of Natural Sciences and Mathematics
FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
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| Abstract: | In this paper, the linearizability of a 2:-3 resonant system with quadratic nonlinearities is studied. We provide a list of the conditions for this family of systems having a linearizable center. The conditions for linearizablity are obtained by computing the ideal generated by the linearizability quantities and its decomposition into associate primes. To successfully perform the calculations, we use an approach based on modular computations. The sufficiency of the obtained conditions is proven by several methods, mainly by the method of Darboux linearization. |
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| Keywords: | polynomial systems, ODE's, linearizability problem, linearizability quantities, Darboux linearization, p:-q resonant system |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2021 |
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| Year of publishing: | 2021 |
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| Number of pages: | str. 1-25 |
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| Numbering: | Vol. 13, no. 1510 |
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| PID: | 20.500.12556/DKUM-84857  |
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| UDC: | 514.2 |
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| ISSN on article: | 2073-8994 |
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| COBISS.SI-ID: | 73890563 |
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| DOI: | 10.3390/sym13081510 |
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| Publication date in DKUM: | 01.08.2023 |
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| Views: | 723 |
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| Downloads: | 77 |
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| Metadata: |    |
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| Categories: | Misc.
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