Synchronisation control of a novel fractional-order chaotic system with hidden attractor

This paper presents a new fractional-order model of a chaotic system that generates only stable equilibria. The proposed fractional-order chaotic system (FOCS) having exponential nonlinearity, is topologically inequivalent to typical chaotic systems and challenges the conventional notion of the presence of unstable equilibria to ensure the existence of chaos in fractional dynamics. This work investigates the hidden attractor dynamics for varying fractional orders and determines the minimum commensurate dimension to display chaos. A synchronisation control scheme is put forward to indicate the practical application of the system in secure communication. Numerical simulations validate the theoretical analysis and signify that the objectives of the paper are finally achieved.