A mirror approach to the study of the generalized Henon-Heiles Hamiltonian systems

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Abstract

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.
Original languageEnglish
Pages (from-to)843-858
JournalApplied Mathematical Sciences
Volume14
DOIs
Publication statusPublished - 2020

Citation

Yee, 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

Keywords

  • Painlevé analysis
  • Hamiltonian systems
  • Mirror transformations

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