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A new 4-D hyperchaotic four-wing system, its bifurcation analysis, complete synchronization and circuit simulation

Vaidyanathan Sundarapandian, Benkouider Khaled, Sambas Aceng, Safaan Samy Abdelwahab

Archives of Control Sciences

2022

Vol. 32, No. 3

507--534

In this work, we modify the dynamics of 3-D four-wing Li chaotic system (Li et al. 2015) by introducing a feedback controller and obtain a new 4-D hyperchaotic four-wing system with complex properties. We show that the new hyperchaotic four-wing system have three saddle-foci balance points, which are unstable. We carry out a detailed bifurcation analysis for the new hyperchaotic four-wing system and show that the hyperchaotic four-wing system has multistability and coexisting attractors. Using integral sliding mode control, we derive new results for the master-slave synchronization of hyperchaotic four-wing systems. Finally, we design an electronic circuit using MultiSim for real implementation of the new hyperchaotic four-wing system.