Because the period of the concatenated torus automorphisms is the total sum of each one's period, Mao  proposed a novel chaotic map
that concatenates several torus automorphisms and two application schemes.
Therefore, in this paper, the modified biometric-based password authentication technique is proposed based on the chebyshev chaotic map
Keywords: Prime gaps, invariant density, chaotic map
, inverse Frobenius-perron
Chaotic change can be achieved by the help of a chaotic map
or a chaotic oscillator.
A chaotic map
is a discrete-time dynamical system running in a chaotic condition :
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.
Thus, this paper presents a new approach based on the charged system search (CSS) with chaotic map
for partition clustering.
The topics include efficient color image segmentation by a parallel optimized (ParaOptiMUSIG) activation function, chaotic map
model-based interference employed in a quantum-inspired genetic algorithm to determine the optimum gray level image thresholding, multi-objective genetic and fuzzy approaches in rule mining problems of knowledge discovery in databases, concept generation in knowledge representation using formal concept analysis, applying a functional approach to lists for developing relational model databases and Petri net analysis, and a Shannon-like solution for the fundamental equation of information science.
In this proposal, when a random number is needed by the classical DE algorithm, it is generated by iterating one step of the chosen chaotic map
that has been started from a random initial condition at the first iteration.
Chaotic noise signals have shown very good properties in radar applications [2-4], and radar signals generated from chaotic map
have shown very good performance of high range resolution, low probability of intercept and interference, and optimum use of frequency spectrum [5-8].
Recently, chaos theory has been used in the development of novel techniques for global optimization    , and particularly, in the specification of chaos optimization algorithms (COA) based on the use of numerical sequences generated by means of a chaotic map
    instead of random number generators.
Thangadurai); (9) Security Algorithm for Cryptosystems chaotic map