The paper introduces a novel 3-D chaotic fractional system. A thorough analytical study of the new system is done using Lyapunov spectrum, bifurcation analysis, equilibrium point analysis, existence & uniqueness of solution, etc. The system is synchronized using a novel technique ’Quad-compound combination anti-synchronization’ with its parallel systems using non linear and adaptive sliding mode control method. A comparative study of the obtained results has been done and illustration of achieved synchronization in secure communication is also provided.

中文翻译：

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分数混沌系统并行系统间的反同步四元组合及其应用

本文介绍了一种新颖的3-D混沌分数系统。使用Lyapunov光谱，分叉分析，平衡点分析，溶液的存在性和唯一性等对新系统进行了详尽的分析研究。使用新颖的“四元复合反同步”技术及其并行系统对系统进行同步。采用非线性和自适应滑模控制方法。已对获得的结果进行了比较研究，并提供了在安全通信中实现同步的示例。