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- W1964612967 abstract "We consider one-dimensional maps, the logistic map and an exponential map, in those sets of parameter values which correspond to their chaotic dynamics. It is proven that such dynamics may be stabilized by a certain cyclic parametric transformation operating strictly within the chaotic set. The stabilization is a result of the creation of stable periodic orbits in the initially chaotic maps. The period of these stable orbits is a multiple of the period of the cyclic transformation. It is shown that stabilized behavior cannot be destroyed by a weak noise smearing of the required parameter values. The regions where the behavior stabilization takes place are numerically estimated. Periods of the created stabile periodic orbits are calculated." @default.
- W1964612967 created "2016-06-24" @default.
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- W1964612967 date "1996-04-01" @default.
- W1964612967 modified "2023-09-24" @default.
- W1964612967 title "STABILIZATION OF CHAOTIC DYNAMICS OF ONE-DIMENSIONAL MAPS BY A CYCLIC PARAMETRIC TRANSFORMATION" @default.
- W1964612967 doi "https://doi.org/10.1142/s0218127496000382" @default.
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