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.
CitationHu, 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