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First, the watermark is encoded by a chaotic sequence, which is generated by a key.
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In the first one, the information symbols are encoded into a chaotic sequence by a forward iteration of a chaotic map [22, 23], while in the second one, the information encoding uses backward iteration together with the symbolic dynamics of the orbits [21].
The fundamental chaotic system model is given as follows [6]: xleft( n right) = fleft( {xleft( {n - 1} right)} right), (1) where the (xleft( n right)) is a chaotic sequence generated by the nonlinear (fleft(. right)), (xleft( 0 right)) are the initial condition values.
The design of the new compound two-dimensional chaotic function is presented by exploiting two one-dimensional chaotic functions which switch randomly, and the design is used as a chaotic sequence generator which is proved by Devaney's definition proof of chaos.
The succession of Aurelius by Commodus marked the transition from peaceful transfer of power to a chaotic sequence of assassinations and instability known as the Crises of the Third Century.
But midway through the second half, Brazil pulled even on a chaotic sequence.
In this paper, the problem can be solved by constructing a new chaotic sequence or optimizing the already existing chaotic sequences according to certain rules.
A new chaotic sequence generator is designed by the compound chaos which is proved by Devaney's definition of chaos.
Experimental results demonstrate the superiority and efficiency of the portable E-nose instrument integrated with artificial neural network optimized by chaotic sequence based optimization algorithms in real-time monitoring of air quality in dwellings.
On this basis, the image encryption algorithm is designed by using this chaotic sequence: the gray value of the original image is substituted with the chaotic sequence at beginning; then the space array of the image's pixel is mixed up by using both two chaotic sequences.
The construction of the watermark is random by chaotic sequence.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com