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<journal-id journal-id-type="publisher">global-journal-of-science-frontier-research-f-mathematics-decision</journal-id>
<journal-title-group>
<journal-title>Global Journal of Science Frontier Research - F: Mathematics &amp; Decision</journal-title>
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<issn publication-format="print">0975-5896</issn>
<issn publication-format="electronic">2249-4626</issn>
<publisher><publisher-name>Global Journals Publishing Group Incorporated</publisher-name></publisher>
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<article-id pub-id-type="publisher-id">59130</article-id>
<title-group>
<article-title>On Some Geometric Methods in Mathematics and Mechanics</article-title>
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<contrib-group>
<contrib contrib-type="author"><name><surname>Bruno</surname><given-names>Alexander</given-names></name><xref ref-type="aff" rid="aff1" />
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<aff id="aff1">RUSSIA, Keldysh Institute of Applied Mathematics of RAS</aff>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2017-12-19">
<day>19</day>
<month>12</month>
<year>2017</year>
</pub-date>
<volume>17</volume>
<issue>F8</issue>
<fpage>43</fpage>
<lpage>49</lpage>
<abstract><p>We give a survey of geometric methods used in papers and books of V.I. Arnold and V.V. Kozlov. They are methods of different normal forms, of some polyhedra, of small denominators and asymptotic expansions.</p></abstract>
<kwd-group kwd-group-type="author-generated">
<kwd>geometric methods</kwd>
<kwd>normal form</kwd>
<kwd>asymptotic expansion</kwd>
<kwd>Painlevé equations</kwd>
<kwd>Hamiltonian system.</kwd>
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<title>Full Text</title>
<p>We give a survey of geometric methods used in papers and books of V.I. Arnold and V.V. Kozlov. They are methods of different normal forms, of some polyhedra, of small denominators and of asymptotic expansions.</p>
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