Topological Analysis of the Liouville Foliation for the Kovalevskaya Integrable Case on the Lie Algebra so(4)

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080218090275 ◽

2018 ◽

Vol 39 (9) ◽

pp. 1396-1399 ◽

Author(s):

V. Kibkalo

Keyword(s):

Lie Algebra ◽

Topological Analysis ◽

Integrable Case ◽

Liouville Foliation

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The topology of the Liouville foliation for the Kovalevskaya integrable case on the Lie algebra so(4)

Sbornik Mathematics ◽

10.1070/sm2014v205n04abeh004387 ◽

2014 ◽

Vol 205 (4) ◽

pp. 532-572 ◽

Author(s):

I K Kozlov

Keyword(s):

Lie Algebra ◽

Integrable Case ◽

Liouville Foliation

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The topology of Liouville foliation for the Sokolov integrable case on the Lie algebra so(4)

Sbornik Mathematics ◽

10.1070/sm2009v200n06abeh004023 ◽

2009 ◽

Vol 200 (6) ◽

pp. 899-921 ◽

Author(s):

Gorbanali Haghighatdoost ◽

Andrey A Oshemkov

Keyword(s):

Lie Algebra ◽

Integrable Case ◽

Liouville Foliation

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The topology of Liouville foliation for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra so(4)

Regular and Chaotic Dynamics ◽

10.1134/s1560354715030089 ◽

2015 ◽

Vol 20 (3) ◽

pp. 317-344 ◽

Author(s):

Rasoul Akbarzadeh ◽

Ghorbanali Haghighatdoost

Keyword(s):

Lie Algebra ◽

Integrable Case ◽

Liouville Foliation

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Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(4)

Sbornik Mathematics ◽

10.1070/sm9120 ◽

2019 ◽

Vol 210 (5) ◽

pp. 625-662 ◽

Author(s):

V. A. Kibkalo

Keyword(s):

Lie Algebra ◽

Topological Classification ◽

Integrable Case

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Topological features of the Sokolov integrable case on the Lie algebra so(3,1)

Sbornik Mathematics ◽

10.1070/sm2014v205n08abeh004412 ◽

2014 ◽

Vol 205 (8) ◽

pp. 1107-1132

Author(s):

D V Novikov

Keyword(s):

Lie Algebra ◽

Integrable Case ◽

Topological Features

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Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(3, 1)

Topology and its Applications ◽

10.1016/j.topol.2019.107028 ◽

2020 ◽

Vol 275 ◽

pp. 107028 ◽

Author(s):

Vladislav Kibkalo

Keyword(s):

Lie Algebra ◽

Topological Classification ◽

Integrable Case

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Topological analysis corresponding to the Borisov–Mamaev–Sokolov integrable system on the Lie algebra so(4)

Regular and Chaotic Dynamics ◽

10.1134/s1560354716010019 ◽

2016 ◽

Vol 21 (1) ◽

pp. 1-17 ◽

Author(s):

Rasoul Akbarzadeh

Keyword(s):

Lie Algebra ◽

Integrable System ◽

Topological Analysis

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The topology of isoenergy surfaces for the Sokolov integrable case on the Lie algebra so(3, 1)

Moscow University Mathematics Bulletin ◽

10.3103/s0027132211040115 ◽

2011 ◽

Vol 66 (4) ◽

pp. 181-184 ◽

Author(s):

D. V. Novikov

Keyword(s):

Lie Algebra ◽

Integrable Case ◽

Isoenergy Surfaces

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Topology of the Liouville foliation on a 2-sphere in the Dullin-Matveev integrable case

Sbornik Mathematics ◽

10.1070/sm2008v199n03abeh003926 ◽

2008 ◽

Vol 199 (3) ◽

pp. 411-448 ◽

Author(s):

A Yu Moskvin

Keyword(s):

Integrable Case ◽

Liouville Foliation

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The Topology of Isoenergetic Surfaces for the Borisov–Mamaev–Sokolov Integrable Case on the Lie Algebra so(3, 1)

Theoretical and Mathematical Physics ◽

10.1134/s0040577918120048 ◽

2018 ◽

Vol 197 (3) ◽

pp. 1727-1736

Author(s):

R. Akbarzadeh

Keyword(s):

Lie Algebra ◽

Integrable Case

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