chaos theory

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chaos theory

n.
Any of various general mathematical theories of chaotic dynamical systems, such as the complex or nonlinear systems found in weather patterns, ecosystems, economic markets, and biological systems.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

chaos theory

n
(Mathematics) a theory, applied in various branches of science, that apparently random phenomena have underlying order
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
Translations

chaos theory

nteoria del caos
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
This step shows our cross-diffusion scheme implictly since [mathematical expression not reproducible] is obtained by the other chaotic map.
In this study, RNGA that is a continuous-time chaotic system which proposed in Ozkaynak's study was applied to WOA first time and compared with circle chaotic map. The outline of the study is as follows; In Section 2, we summarize the WOA.
For justification, an implementation of a logistic chaotic map with the abovementioned procedure is shown in Figure 2.
In the text, the normalized logistic chaotic map is adopted, that is, E[x] = 0 and E[[x.sup.2]] = var [x] = 1, where E[x] denotes the mean operator and var [x] denotes the variance operator.
Almulla, "Keyed hash function based on a chaotic map," Information Sciences, vol.
Chaotic map has ergodic and stochastic properties, which is regarded as a bounded nonlinear system with deterministic dynamical behavior.
proposed a new fractional two-dimensional triangle function combination discrete chaotic map (2D-TFCDM) with the discrete fractional difference.
proposed a more efficient diffusion mechanism using simple table lookup and swapping techniques as a light-weight replacement of the 1D chaotic map iteration.
Therefore, in this paper, the modified biometric-based password authentication technique is proposed based on the chebyshev chaotic map scheme.
In our proposed schemes chaotic maps have been used instead of random phases as random keys which achieved high dynamic range for the key image through the flexibility in changing the parameters as well as initial conditions of the proposed chaotic map which made it difficult for the attacker to decrypt an unknown image in a strong manner from the practical point of view.
Since there is only position vector in the control parameter, with no velocity vector, and the convergence time is shortened, then, the tent chaotic map is introduced to change the cat position information in the iteration process, the "premature convergence" problem of the CSO algorithm is avoided, and the precision of searching is further improved.
Now, for the synchronization block, a chaotic pilot sequence modulated by "ones" is considered (generated from the same chaotic map with a special initial condition):