
arXiv: math/9604235
It will be shown that the renormalization operator, acting on the space of smooth unimodal maps with critical exponent greater than 1, has periodic points of any combinatorial type.
Renormalization of holomorphic dynamical systems, renormalization operators, universal scalings, periodic points, periodic doubling bifurcation, hyperbolic fixed point, Dynamical Systems (math.DS), unimodal interval maps, Dynamical systems involving maps of the interval, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, renormalization operator, Universality and renormalization of dynamical systems, FOS: Mathematics, quantitative scaling, homoclinic doubling bifurcations, Mathematics - Dynamical Systems
Renormalization of holomorphic dynamical systems, renormalization operators, universal scalings, periodic points, periodic doubling bifurcation, hyperbolic fixed point, Dynamical Systems (math.DS), unimodal interval maps, Dynamical systems involving maps of the interval, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, renormalization operator, Universality and renormalization of dynamical systems, FOS: Mathematics, quantitative scaling, homoclinic doubling bifurcations, Mathematics - Dynamical Systems
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