TY - JOUR T1 - A Chaotification Model Based on Modulo Operator and Secant Functions for Enhancing Chaos AU - Charalampidis, Nikolaos AU - Volos, Christos K. AU - Moysıs, Lazaros AU - Stouboulos, Ioannis PY - 2022 DA - December DO - 10.51537/chaos.1214569 JF - Chaos Theory and Applications JO - CHTA PB - Akif AKGÜL WT - DergiPark SN - 2687-4539 SP - 274 EP - 284 VL - 4 IS - 4 LA - en AB - Many drawbacks in chaos-based applications emerge from the chaotic maps' poor dynamic properties. To address this problem, in this paper a chaotification model based on modulo operator and secant functions to augment the dynamic properties of existing chaotic maps is proposed. It is demonstrated that by selecting appropriate parameters, the resulting map can achieve a higher Lyapunov exponent than its seed map. This chaotification method is applied to several well-known maps from the literature, and it produces increased chaotic behavior in all cases, as evidenced by their bifurcation and Lyapunov exponent diagrams. Furthermore, to illustrate that the proposed chaotification model can be considered in chaos-based encryption and related applications, a voice signal encryption process is considered, and different tests are being used with respect to attacks, like brute force, entropy, correlation, and histogram analysis. KW - chaotic map KW - chaotification KW - secant functions KW - modulo operator KW - Lyapunov exponent KW - sound encryption KW - Fuzzy entropy CR - Abd, M. H., G. A. Al-Suhail, F. R. Tahir, A. M. Ali Ali, H. A. Abbood, et al., 2022 Synchronization of monostatic radar using a timedelayed chaos-based fm waveform. Remote Sensing 14: 1984. CR - Ablay, G., 2022 Lyapunov exponent enhancement in chaotic maps with uniform distribution modulo one transformation. 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