Bifurcation Analysis, Synchronization and FPGA Implementation of a New 3-D Jerk System with a Stable Equilibrium

Bifurcation Analysis, Synchronization and FPGA Implementation of a New 3-D Jerk System with a Stable Equilibrium

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This research paper addresses the modelling of a new 3-D chaotic jerk system with a stable equilibrium.Such chaotic systems are known to exhibit hidden attractors.After the modelling of the new jerk system, a detailed bifurcation analysis has been performed for the new chaotic Bassinet jerk system with a stable equilibrium.

It is shown that the new jerk system has multistability with coexisting attractors.Next, we apply backstepping control for the synchronization design of a pair of new jerk systems with a stable equilibrium taken as the master-slave chaotic systems.Lyapunov stability theory is used to establish the synchronization Foam Filter results for the new jerk system with a stable equilibrium.

Finally, we show that the FPGA design of the new jerk system with a stable equilibrium can be implemented using the FPGA Zybo Z7-20 development board.The design of the new jerk system consists of multipliers, adders and subtractors.It is observed that the experimental attractors are in good agreement with simulation results.