Combined logistic and tent map

Application of chaotic colony predation algorithm in electromagnetics

“…The proposed chaotic colony predation algorithm (CCPA) is a fusion of two improvement points based on CPA: the initialization of logistic-tent chaotic mapping [30] and the logarithmic factor in equation (10). This section details the logarithmic factor and specific expressions of logistic-tent double mapping.…”

“…The mathematical definition of the logistic-tent chaotic algorithm depends on its initial values and parameters. It generates many random chaotic sequences, which provides a good model for finding high-quality pseudo-random sequences [30]. The traditional pseudo-random sequences are replaced by logistic-tent chaotic mapping, and its mapping distribution chart is shown in figure 3.…”

Superior Chaotic Bbo for Optimization Problems

“…4 by using the values (μ, β) = (2.34, 0.6) (See Rani et al, 2019). In the case of CLTCBBO, the sequence of chaotic data points C(x) is obtained by taking the values (p, T, r) = (0.45, 1.0, 4) (See Lawnik, 2018).…”

“…Rani et al, 2019 have analysed tent map in superior orbit to increase its solution set. Also, Lawnik (2018) used combined logistic and tent map in cryptographic application areas.…”

The application of modified Chebyshev polynomials in asymmetric cryptography

“…Currently, one of the most noticeable trends in security engineering is cryptography based on chaos theory. This uses chaotic projections such as logistic maps [25,26] or piecewise linear maps [26,27] to generate a sequence of values that are similar to random ones on one hand and obtained in a deterministic way on the other. As part of chaotic cryptography, we can distinguish symmetric algorithms [4] and asymmetric algorithms [31].…”