Geometry of slow-fast Hamiltonian systems and Painlevé equations
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- 作者：L.M. Lerman ; lermanl@mm.unn.ru" class="auth_mail" title="E-mail the corresponding author ; E.I. Yakovlev
- 关键词：Slow&ndash ; fast ; Hamiltonian ; Presymplectic manifold ; Singular symplectic ; Bundle ; Disruption point ; Blow-up ; Painlevé ; equations
- 刊名：Indagationes Mathematicae
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：27
- 期：5
- 页码：1219-1244
- 全文大小：951 K
文摘
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Geometric tools to describe slow–fast Hamiltonian systems on smooth manifolds.
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Direct derivation of Painlevé-I equation near a fold point of a slow manifold.
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Direct derivation of Painlevé-II equation near a cusp point of a slow manifold.