A mathematical model of a nuclear reactor with delay depending on the power of the reactor
There is analysed the problem of the stability of the reactor using a nonlinear mathematical model. By the method of D-decomposition there is done linear analysis and obtained a region of asymptotic stability D0 and the region D2 in which there appear a stable periodical solution. The nonlinear ana...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2002-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/32914 |
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| _version_ | 1825197239294754816 |
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| author | Kostas Bučys Rasa Grigolienė Jolanta Janutėnienė Donatas Švitra |
| author_facet | Kostas Bučys Rasa Grigolienė Jolanta Janutėnienė Donatas Švitra |
| author_sort | Kostas Bučys |
| collection | DOAJ |
| description |
There is analysed the problem of the stability of the reactor using a nonlinear mathematical model. By the method of D-decomposition there is done linear analysis and obtained a region of asymptotic stability D0 and the region D2 in which there appear a stable periodical solution. The nonlinear analysis of the model was done with the help of the theory of bifurcations. There is received an approximate periodical solution of one frequency of the model and determined the `degree of harmonicity'' of the solution.
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| format | Article |
| id | doaj-art-582569a1c53a44a892d5919664a54625 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2002-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-582569a1c53a44a892d5919664a546252025-02-11T18:13:39ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2002-12-0142spec.10.15388/LMR.2002.32914A mathematical model of a nuclear reactor with delay depending on the power of the reactorKostas Bučys0Rasa Grigolienė1Jolanta Janutėnienė2Donatas Švitra3Klaipedos universityKlaipedos universityKlaipedos universityKlaipedos university There is analysed the problem of the stability of the reactor using a nonlinear mathematical model. By the method of D-decomposition there is done linear analysis and obtained a region of asymptotic stability D0 and the region D2 in which there appear a stable periodical solution. The nonlinear analysis of the model was done with the help of the theory of bifurcations. There is received an approximate periodical solution of one frequency of the model and determined the `degree of harmonicity'' of the solution. https://www.zurnalai.vu.lt/LMR/article/view/32914 |
| spellingShingle | Kostas Bučys Rasa Grigolienė Jolanta Janutėnienė Donatas Švitra A mathematical model of a nuclear reactor with delay depending on the power of the reactor Lietuvos Matematikos Rinkinys |
| title | A mathematical model of a nuclear reactor with delay depending on the power of the reactor |
| title_full | A mathematical model of a nuclear reactor with delay depending on the power of the reactor |
| title_fullStr | A mathematical model of a nuclear reactor with delay depending on the power of the reactor |
| title_full_unstemmed | A mathematical model of a nuclear reactor with delay depending on the power of the reactor |
| title_short | A mathematical model of a nuclear reactor with delay depending on the power of the reactor |
| title_sort | mathematical model of a nuclear reactor with delay depending on the power of the reactor |
| url | https://www.zurnalai.vu.lt/LMR/article/view/32914 |
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