Analytic approach to bifurcation cascades in a class of generalized Hénon-Heiles potentials

Abstract

We derive stability traces of bifurcating orbits in Hénon-Heiles potentials near their saddles

LaTeX revtex4, 38 pages, 7 PostScript figures, 2 tables

References in corpus (8)

• Bifurcations of Periodic Orbits and Uniform Approximations
• Uniform trace formulae for SU(2) and SO(3) symmetry breaking
• Occurrence of periodic Lamé functions at bifurcations in chaotic Hamiltonian systems
• Uniform approximations for pitchfork bifurcation sequences
• Analytical perturbative approach to periodic orbits in the homogeneous quartic oscillator potential
• Transcritical bifurcations in non-integrable Hamiltonian systems
• Periodic orbit theory for the Hénon-Heiles system in the continuum region
• Level density of the Hénon-Heiles system above the critical barrier Energy

Cited by in corpus (4)

• Shells, orbit bifurcations and symmetry restorations in Fermi systems
• Semiclassical approaches to nuclear dynamics
• Semiclassical treatment of symmetry breaking and bifurcations in a non-integrable potential
• Bifurcation cascade, self-similarity and duality in the 3-rotor problem