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http://hdl.handle.net/11701/3904
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Поле DC | Значение | Язык |
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dc.contributor.author | Basov, Vladimir V. | - |
dc.date.accessioned | 2016-09-28T15:28:57Z | - |
dc.date.available | 2016-09-28T15:28:57Z | - |
dc.date.issued | 2016-09 | - |
dc.identifier.citation | Basov V.V. Two-dimensional homogeneous cubic systems: classification and normal forms — II. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 3, pp. 355–371. | en_GB |
dc.identifier.other | 10.21638/11701/spbu01.2016.302 | - |
dc.identifier.uri | http://hdl.handle.net/11701/3904 | - |
dc.description.abstract | In the first part of the paper properly designed structural principles are given to introduce a total order on the set of structural forms — vector polynomials with a fixed number of zero coefficients which represent right-hand parts of two-dimensional homogeneous cubic systems of ODE. Among them normalized based on the principles of normalization structural forms and linear non-equivalent to each other, the simplest in their class canonical forms (CF) are sequentially distinguished. In the second part of the paper for the mentioned systems the right-hand part components of which are proportional all CF are distinguished with their canonical sets of permissible values. For each CF are given: a) the conditions on the coefficients of the original system, b) linear substitutions that reduce the right-hand part of the system under these conditions to the chosen CF, c) obtained values of CF’s coefficients. This paper is a direct continuation of [1], so it retains all previously introduced notations. Refs 1. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Series 1. Mathematics. Mechanics. Astronomy;Issue 3 | - |
dc.subject | homogeneous cubic system | en_GB |
dc.subject | normal form | en_GB |
dc.subject | canonical form | en_GB |
dc.title | Two-dimensional homogeneous cubic systems: classification and normal forms — II | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
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Basov.pdf | 320,93 kB | Adobe PDF | Просмотреть/Открыть |
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