Mirror transformations of Hamiltonian systems

Jishan HU; Min YAN; Tat Leung YEE

doi:10.1016/S0167-2789(01)00164-6

Mirror transformations of Hamiltonian systems

Jishan HU
, Min YAN
, Tat Leung YEE

Department of Mathematics and Information Technology (MIT)

Research output: Contribution to journal › Articles › peer-review

3 Citations (Scopus)

Abstract

We demonstrate, through various examples of Hamiltonian systems, that symplectic structures have been encoded into the Painlevé test. Each principal balance in the Painlevé test induces a mirror transformation that regularizes movable singularities. Moreover, for finite-dimensional Hamiltonian systems, the mirror transformations are canonical. Copyright © 2001 Elsevier Science B.V.

Original language	English
Pages (from-to)	110-123
Journal	Physica D: Nonlinear Phenomena
Volume	152-153
DOIs	https://doi.org/10.1016/S0167-2789(01)00164-6
Publication status	Published - 2001

Keywords

Hamiltonian systems
Painlevé test
Symptectic structures

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10.1016/S0167-2789(01)00164-6

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Link to publication in Scopus

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title = "Mirror transformations of Hamiltonian systems",

abstract = "We demonstrate, through various examples of Hamiltonian systems, that symplectic structures have been encoded into the Painlev{\'e} test. Each principal balance in the Painlev{\'e} test induces a mirror transformation that regularizes movable singularities. Moreover, for finite-dimensional Hamiltonian systems, the mirror transformations are canonical. Copyright {\textcopyright} 2001 Elsevier Science B.V.",

author = "Jishan HU and Min YAN and YEE, \{Tat Leung\}",

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AU - YAN, Min

AU - YEE, Tat Leung

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AB - We demonstrate, through various examples of Hamiltonian systems, that symplectic structures have been encoded into the Painlevé test. Each principal balance in the Painlevé test induces a mirror transformation that regularizes movable singularities. Moreover, for finite-dimensional Hamiltonian systems, the mirror transformations are canonical. Copyright © 2001 Elsevier Science B.V.

UR - https://www.scopus.com/pages/publications/0035873465

U2 - 10.1016/S0167-2789(01)00164-6

DO - 10.1016/S0167-2789(01)00164-6

M3 - Articles

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VL - 152-153

SP - 110

EP - 123

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

ER -

Mirror transformations of Hamiltonian systems

Abstract

Keywords

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