A New 4-D Multi-Stable Hyperchaotic System With No Balance Point: Bifurcation Analysis, Circuit Simulation, FPGA Realization and Image Cryptosystem

A New 4-D Multi-Stable Hyperchaotic System With No Balance Point: Bifurcation Analysis, Circuit Simulation, FPGA Realization and Image Cryptosystem

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In this work, we describe the model of a new 4-D hyperchaotic system with no balance point and deduce that the new hyperchaotic system has a hidden attractor.We present a detailed bifurcation analysis for the new hyperchaotic dynamo system with respect to the system parameters PU-ERH TEA and also exhibit that the new hyperchaotic system displays multistability with coexisting attractors.Using NI Multisim 14.0, we design an electronic circuit for the implementation of the new 4-D hyperchaotic system and present the circuit simulation results.We also show the implementation of the new 4-D hyperchaotic system by using a field programmable gate array (FPGA).

The hardware resources are reduced by designing single-constant multipliers, adders, subtractors and multipliers.The FPGA design is done for three numerical methods, namely: Forward-Euler, Backward-Euler and fourth-order Runge-Kutta.We demonstrate that experimental chaotic attractors are in good agreement with theoretical simulations.To verify the ability of the presented hyperchaotic system for designing robust cryptosystems, we suggest a novel image cryptosystem using the proposed hyperchaotic system.Simulation outcomes confirm the effectiveness of the proposed Ski de fond - Femme - Vetements - Pantalon image cryptosystem, and consequently, the effectiveness of the proposed 4-D hyperchaotic system in designing diverse cryptographic purposes.