Due to their structure and complexity, chaotic systems have been introduced in several domains such as electronic circuits, commerce domain, encryption and network security. In this paper, we propose a novel multidimensional chaotic system with multiple parameters and nonlinear terms. Then, a two-phase algorithm is presented for investigating the chaotic behavior using bifurcation and Lyapunov exponent (LE) theories. Finally, we illustrate the performances of our proposal by constructing three (03) chaotic maps (3-D, 4-D and 5-D) and implementing the 3-D map on Field-Programmable-Gate-Array (FPGA) boards to generate random keys for securing a client–server communication purpose. Based on the achieved results, the proposed scheme is considered an ideal candidate for numerous resource-constrained devices and internet of the things (IoT) applications.

由于其结构和复杂性，混沌系统已被引入多个领域，例如电子电路、商业领域、加密和网络安全。在本文中，我们提出了一种具有多参数和非线性项的新型多维混沌系统。然后，提出了一种使用分叉和李雅普诺夫指数 (LE) 理论研究混沌行为的两阶段算法。最后，我们通过构建三 (03) 个混沌映射（3-D、4-D 和 5-D）并在现场可编程门阵列 (FPGA) 板上实现 3-D 映射来说明我们建议的性能生成随机密钥以确保客户端 - 服务器通信目的。基于所取得的结果，所提出的方案被认为是众多资源受限设备和物联网 (IoT) 应用程序的理想候选方案。