On a bifurcation in the quantum system for an approximation to the Hénon-Heiles system

DOI10.1016/0167-2789(89)90094-8zbMath0681.58031OpenAlexW2087520721MaRDI QIDQ1823525

Yoshio Uwano

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90094-8

zbMATH Keywords

periodic solutionsbifurcationHénon-Heiles system

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• Reduction of the semisimple \(1:1\) resonance
• On resonant non linearly coupled oscillators with two equal frequencies
• Reduction of symplectic manifolds with symmetry
• On a Hilbert space of analytic functions and an associated integral transform part I
• The algebraic quantisation of the Birkhoff-Gustavson normal form
• The symmetry group of the harmonic oscillator and its reduction
• Linear Canonical Transformations and Their Unitary Representations

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