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Published in 2018 at "Experimental Mathematics"
DOI: 10.1080/10586458.2016.1226993
Abstract: ABSTRACT We consider the long-time behavior of the trajectories of the discontinuous analog of the standard Chirikov map. We prove that for some values of parameters all the trajectories remain bounded for all time. For…
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Keywords:
steep version;
standard map;
version standard;
map ... See more keywords
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Published in 2020 at "Physical review. E"
DOI: 10.1103/physreve.101.032210
Abstract: Following the paper exploring the Anderson localization of monochromatically perturbed kicked quantum maps [Phys. Rev. E 97, 012210 (2018)2470-004510.1103/PhysRevE.97.012210], the delocalization-localization transition phenomena in polychromatically perturbed quantum maps (QM) is investigated focusing particularly on the…
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Keywords:
map anderson;
quantum maps;
standard map;
map ... See more keywords
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Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.032203
Abstract: We study and compare three characteristic times of the standard map: the Lyapunov time t_{L}, the PoincarĂ© recurrence time t_{r}, and the stickiness (or escape) time t_{st}. The Lyapunov time is the inverse of the…
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Keywords:
time;
poincar recurrence;
characteristic times;
standard map ... See more keywords
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Published in 2020 at "Applied optics"
DOI: 10.1364/ao.400465
Abstract: In this paper, an optical single-channel asymmetric cryptosystem based on the inverse discrete wavelet transform (IDWT) and chaotic standard map for multi-image in cyan-magenta-yellow-black (CMYK) mode is proposed. To the best of our knowledge, this…
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Keywords:
single channel;
chaotic standard;
standard map;
image ... See more keywords