Premium
Irregular Period‐Tripling Bifurcations in Axisymmetric Scalefree Potentials
Author(s) -
TERZIĆ BALŜA
Publication year - 1998
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1998.tb11251.x
Subject(s) - bifurcation , torus , rotational symmetry , orbit (dynamics) , parameter space , space (punctuation) , phase space , physics , period (music) , rotation (mathematics) , mathematics , classical mechanics , geometry , mechanics , computer science , quantum mechanics , nonlinear system , acoustics , engineering , aerospace engineering , operating system
We investigate the phenomenon of irregular bifurcations in axisymmetric scalefree potentials, in which a tube orbit gives rise to a new family of orbits of period 3. A proper understanding of the formation of the this irregular family of orbits is important because the family occupies a fair portion of the phase space in models where it occurs. We show that these bifurcations are related to the transition of the rotation number of the phase‐space torus through 1/3. This type of bifurcation is closely related to the behavior of nontwist maps.