Article ID Journal Published Year Pages File Type
1890958 Chaos, Solitons & Fractals 2007 9 Pages PDF
Abstract
A perturbative analysis based on the renormalization method shows that the period-four torus near an elliptic fixed point of the radially twist map goes through not only the Poincaré-Birkhoff bifurcation but also an exchange-type bifurcation and the global ballooning of resonant islands. The appearance of the exchange-type bifurcation is found to be closely connected to the Suris' integrable maps.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Preview
Perturbative renormalization analysis of the Poincaré-Birkhoff resonance in 2-D symplectic map
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