# chaos theory

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## chaos theory

a branch of mathematics that seeks to predict widespread effects of small (or minute) and possibly remote triggering events; the unpredictable course of some epidemics and malignant metastases may accord with chaos theory.

## chaos theory

The mathematical conception that some phenomena that seem random may be of a deterministic order highly sensitive to initial conditions and perturbations. There is a growing appreciation that chaos may be a feature of many biological systems and that chaos theory may prove to have many applications in medicine.
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Huang, "A new color image encryption using combination of the 1d chaotic map," Signal Processing, 138, pp.
They did several experiments with 10 chaotic maps and showed that the algorithm using the circle map reached the best result.
(1) To employ 10 different chaotic maps through normalized function to propose chaotic variants of GOA.
2D-SLMM is derived from two 1D chaotic maps, the Logistic and Sine maps.
In the substitution stage, various discrete chaotic maps and continuous chaotic systems can be employed to generate keystream sequences with desired statistical properties, including the most commonly used ones like the logistic map [2], the Lorenz system [8], the Chen system [9], and varieties of high dimensional chaotic systems [10].
The chebyshev chaotic map using modified biometric-based password scheme shows that the proposed scheme has better performs than other schemes and it has very minimum amount of time consumption and exchanges number of messages by using the modified biometric-based password.
The random keys used in these techniques have been represented using a new chaotic map based on Chirikov map.
Sequences, with good cross-correlation properties, generated using chaotic maps can be used in CDMA systems [9].
The inherent features of the chaotic map such as random nature and sensitivity to initial conditions/system parameters make them a good candidate to perform confusion operation.
In many practical situations, the invariant distribution F(.) is known and the problem is to find the chaotic map [psi](.) that generated the values.
Chaotic change can be achieved by the help of a chaotic map or a chaotic oscillator.
Oak Ridge National Laboratory's DUCCS is ultra-efficient software that utilizes highly parallel chaotic map computations to quickly (in a few minutes) and efficiently detect component faults in computing units, memory elements and interconnects of hybrid CPU-GPU computing systems.

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