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• W2105324149 abstract "A rescale of the phase space for a family of two-dimensional, nonlinear Hamiltonian mappings was made by using the location of the first invariant Kolmogorov-Arnold-Moser (KAM) curve. Average properties of the phase space are shown to be scaling invariant and with different scaling times. Specific values of the control parameters are used to recover the Kepler map and the mapping that describes a particle in a wave packet for the relativistic motion. The phase space observed shows a large chaotic sea surrounding periodic islands and limited by a set of invariant KAM curves whose position of the first of them depends on the control parameters. The transition from local to global chaos is used to estimate the position of the first invariant KAM curve, leading us to confirm that the chaotic sea is scaling invariant. The different scaling times are shown to be dependent on the initial conditions. The universality classes for the Kepler map and mappings with diverging angles in the limit of vanishing action are defined." @default.
• W2105324149 created "2016-06-24" @default.
• W2105324149 creator A5039263680 @default.
• W2105324149 creator A5047675569 @default.
• W2105324149 date "2013-09-01" @default.
• W2105324149 modified "2023-10-18" @default.
• W2105324149 title "A rescaling of the phase space for Hamiltonian map: Applications on the Kepler map and mappings with diverging angles in the limit of vanishing action" @default.
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• W2105324149 doi "https://doi.org/10.1016/j.amc.2013.06.045" @default.
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