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Mohamed El Naschie (Arabic: محمد النشائي, born 1943) [1] is an Egyptian engineer and the former editor of a controversial journal, Chaos, Solitons & Fractals.The controversy concerned El Naschie's publication, over many years, of over 300 papers of questioned scientific merit authored by himself in his own journal with little or no apparent peer review.
Chaotic maps and iterated functions often generate fractals. Some fractals are studied as objects themselves, as sets rather than in terms of the maps that generate them. This is often because there are several different iterative procedures that generate the same fractal. See also Universality (dynamical systems).
There was speculation [77] that the editor-in-chief of Elsevier journal Chaos, Solitons & Fractals, Mohamed El Naschie, misused his power to publish his own work without appropriate peer review. The journal had published 322 papers with El Naschie as author since 1993.
Chaos theory has been used for many years in cryptography. In the past few decades, chaos and nonlinear dynamics have been used in the design of hundreds of cryptographic primitives. These algorithms include image encryption algorithms, hash functions, secure pseudo-random number generators, stream ciphers, watermarking, and steganography. [123]
temporal solitons: if the electromagnetic field is already spatially confined, it is possible to send pulses that will not change their shape because the nonlinear effects will balance the dispersion. Those solitons were discovered first and they are often simply referred as "solitons" in optics.
Solitons are, by definition, unaltered in shape and speed by a collision with other solitons. [9] So solitary waves on a water surface are near-solitons, but not exactly – after the interaction of two (colliding or overtaking) solitary waves, they have changed a bit in amplitude and an oscillatory residual is left behind. [10]
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As a pedagogic tool, the Malkus waterwheel became a paradigmatic realization of a chaotic system, and is widely used in the teaching of chaos theory. [3] In addition to its pedagogic use, the Malkus waterwheel has been actively studied by researchers in dynamical systems and chaos. [4] [5] [6] [7]