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- W2092009265 abstract "Two types of universal behavior associated with period-doubling in two-dimensional non-invertible maps are investigated. The first, called C-type, may occur as a generic two-parameter phenomenon when the map possesses a fold singularity. The second kind of universal behavior, called FQ-type, is associated with the singularity arising from projecting Whitney's umbrella. Typically, this kind of period-doubling scaling behavior appears as a phenomenon of codimension three, i.e. at some critical point in the three-dimensional parameter space. Numerical results are presented to illustrate the self-similarity of the parameter space topography near the critical points C and FQ. The possibility of observing these new types of critical behavior in physical systems is discussed." @default.
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- W2092009265 title "Period-doubling for two-dimensional non-invertible maps: Renormalization group analysis and quantitative universality" @default.
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- W2092009265 doi "https://doi.org/10.1016/s0167-2789(96)00237-0" @default.
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