This article presents the construction and consumption of hyperjerk system having chaotic nature with the commensurate ordered fractional derivative on rapidly digitalized emerging technologies. The system analyzed analytically using Lipschitz condition and numerically with the help of predictor corrector approaches. Originality of constructed system is confirmed using log error plots which gives satisfactory small values on finite time scale. The dynamical performances of the complex system are termed in multiple phase planes by the mean of their significant nature. Stability and bifurcation analysis around the fractional derivative is also studies for the various parameter of system to check the visibility of chaotic solution. The system is also designed in analog circuit simulator with the aid of operational amplifier, anti-parallel semiconductor diodes for validation of the system. With the help of random number generators (RNGs), binary array generated from the hyperjerk system and plugged in to the NIST 800–22 test suite to measure the randomness. The array having high randomness is used as strong cypher key for the cryptographic execution straightforwardly in both direction encryption and decryption.

本文介绍了在快速数字化新兴技术上具有混沌性质的超冲击系统的构建和使用以及相应的有序分数阶导数。该系统使用Lipschitz条件进行分析分析，并借助预测器校正器方法进行数值分析。使用对数误差图确认所构建系统的独创性，该图在有限的时间范围内给出令人满意的较小值。复杂系统的动态性能凭借其显着的特性在多相平面中被称为。还研究了分数导数周围的稳定性和分叉分析，以研究系统的各种参数，以检查混沌溶液的可见性。该系统还借助运算放大器在模拟电路仿真器中进行设计，反并联半导体二极管用于系统验证。借助随机数生成器（RNG），由hyperjerk系统生成二进制数组，并将其插入NIST 800-22测试套件中以测量随机性。具有高随机性的阵列在方向加密和解密中直接用作加密执行的强密码密钥。