Mirror transformations of Hamiltonian systems

Jishan HU, Min YAN, Tat Leung YEE

Research output: Contribution to journalArticlespeer-review

3 Citations (Scopus)


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 languageEnglish
Pages (from-to)110-123
JournalPhysica D: Nonlinear Phenomena
Publication statusPublished - 2001


Hu, J., Yan, M., & Yee, T.-L. (2001). Mirror transformations of Hamiltonian systems. Physica D: Nonlinear Phenomena, 152-153, 110-123. doi: 10.1016/S0167-2789(01)00164-6


  • Hamiltonian systems
  • Painlevé test
  • Symptectic structures


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