Anti-synchronized quad-compound combination among parallel systems of fractional chaotic system with application

Abstract 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.

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