Ideal Quantification of Chaos at Finite Resolution

Elshaarawy, Islam A.; Gomaa, Walid

doi:10.1007/978-3-319-09144-0_12

Cited by 3 publications

(2 citation statements)

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“…They introduce a combinatorial representation of discrete-time continuous-space dynamical systems as a graph, and map mathematical properties of dynamical systems such as transitivity and mixing to graph-theoretic properties such as connectivity and aperiodicity. An improvement over such framework from the perspective of computational efficiency is introduced by I. Elshaarawy and W. Gomaa in [6,5]. An essential component in a CPS/IOT system is communication network.…”

Section: Non-rigorous Computationmentioning

confidence: 99%

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Cyber Physical Systems: Prospects and Challenges

Gomaa¹

2018

Preprint

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Cyber physical systems CPSs embodies the conception as well as the implementation of the integration of the state-of-art technologies in sensing, communication, computing, and control. Such systems incorporate new trends such as cloud computing, mobile computing, mobile sensing, new modes of communications, wearables, etc. In this article we give an exposition of the architecture of a typical CPS system and the prospects of such systems in the development of the modern world. We illustrate the three major challenges faced by a CPS system: the need for rigorous numerical computation, the limitation of the current wireless communication bandwidth, and the computation/storage limitation by mobility and energy consumption. We address each one of these exposing the current techniques devised to solve each one of them.

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Section: Non-rigorous Computationmentioning

confidence: 99%

“…Discretized phase space: the dotted rectangle is the exact image and the gray area is the ideal representation of f (P i ))[6] (b) Every node i maps to itself due to the original map behavior, but maps to elements i1 and i + 1 also due to overlapping only.…”

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confidence: 99%