| Title: | Qualitative study of a well-stirred isothermal reaction model |
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| Authors: | ID Arcet, Barbara (Author) ID Dukarić, Maša (Author) ID Kadyrsizova, Zhibek (Author) |
| Files: | Qualitative_study_of_a_well-stirred_isothermal_reaction_model_Arcet_2020.pdf (516,87 KB) MD5: 71512D32529D001792472E6D47F25B8D
https://www.mdpi.com/2227-7390/8/6/938
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UM - University of Maribor
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| Abstract: | We consider a two-dimensional system which is a mathematical model for a temporal evolution of a well-stirred isothermal reaction system. We give sufficient conditions for the existence of purely imaginary eigenvalues of the Jacobian matrix of the system at its fixed points. Moreover, we show that the system admits a supercritical Hopf bifurcation. |
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| Keywords: | limit cycle, Hopf bifurcation, stability, reaction kinetics |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 29.04.2020 |
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| Article acceptance date: | 29.05.2020 |
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| Publication date: | 08.06.2020 |
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| Publisher: | MDPI |
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| Year of publishing: | 2020 |
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| Number of pages: | Str. 1-10 |
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| Numbering: | Letn. 8, št. 6, št. članka 938 |
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| PID: | 20.500.12556/DKUM-86165  |
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| UDC: | 536 |
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| ISSN on article: | 2227-7390 |
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| COBISS.SI-ID: | 20857091  |
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| DOI: | 10.3390/math8060938  |
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| Publication date in DKUM: | 16.10.2023 |
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| Views: | 465 |
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| Downloads: | 46 |
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| Metadata: |  |
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| Categories: | Misc.
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