Floating bubbles in one-parameter Hamiltonian systems

Details Floating bubbles in one-parameter Hamiltonian systems Floating bubbles in one-parameter Hamiltonian systems

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrva..42.2438d&link_type=abstract

Physical Review A (Atomic, Molecular, and Optical Physics), Volume 42, Issue 4, August 15, 1990, pp.2438-2440

Physics

1

Celestial Mechanics

Scientific paper

In one-parameter families of Hamiltonians with two degrees of freedom, some periodic orbits may form isolated families, also called ``floating bubbles.'' In this paper we study, numerically, two examples of floating bubbles and show that the lack of symmetry in a plot of the trace of its monodromy matrix versus the energy implies the connection of these families to other families of periodic orbits through period-n-tupling bifurcations.

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