A new fractional order chaotic dynamical system and its synchronization using optimal control

2020/07/07 by Madhuri Patil, Sachin Bhalekar, Patil, Madhuri +1
Computer Science · Physics and Astronomy · #26A33 #34A08 #34D06 #34H10 #Chaos control and synchronization #Chaos-based Image/Signal Encryption #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2007.03168

openalex publication_date 2020/07/07 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this work, we introduce a new three-dimensional chaotic differential dynamical system. We find equilibrium points of this system and provide the stability conditions for various fractional orders. Numerical simulations will be used to investigate the chaos in the proposed system. A simple linear control will be used to control the chaotic oscillations. Further, we propose an optimal control which is based on the fractional order of the system and use it to synchronize new chaotic system.

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