In this paper we present the extended part of a study of the generalized Hénon-Heiles Hamiltonian system for the integrability through the singularity analysis. We show that symplectic structure in the resonance matrix is crucial for the mirror transformation of finite-dimensional Hamiltonian systems to be canonical. We therefore provide new analytical tools to examine the canonicity of the mirror transformation for infinite-dimensional Hamiltonian systems. Copyright © 2020 Hikari Ltd.
CitationYee, T. L. (2020) A mirror approach to the study of the generalized Henon-Heiles Hamiltonian systems. Applied Mathematical Sciences, 14, 843-858. doi: 10.12988/ams.2020.914289
- Painlevé analysis
- Hamiltonian systems
- Mirror transformations