@ARTICLE{Vaidyanathan_Sundarapandian_A_2024,
 author={Vaidyanathan, Sundarapandian and Sambas, Aceng and Moroz, Irene M. and Aruna, Chittineni and Mohamed, Mohamad Afendee and Sundaram, Arun},
 volume={vol. 34},
 number={No 4},
 pages={697–713},
 journal={Archives of Control Sciences},
 howpublished={online},
 year={2024},
 publisher={Committee of Automatic Control and Robotics PAS},
 abstract={In this research work, we propose a new four-dimensional chaotic hyperjerk system with four quadratic nonlinearities. We carry out a detailed bifurcation analysis and derive conditions for the existence of a Hopf bifurcation for the new hyperjerk system. A linear analysis shows that there is only a unique trivial equilibrium state, whose stability depends solely on the parameter p. The only bifurcation possible is a Hopf bifurcation when p = 2. This is verified from bifurcation transition diagrams.We derive new results showing multistability and the existence of coexisting attractors for the new chaotic hyperjerk system. Using MultiSim, a new electronic circuit is designed for the new chaotic hyperjerk system with four quadratic nonlinearities. Finally, we present a control application for the proposed chaotic hyperjerk system with four quadratic nonlinearities. Using active backstepping control, we design a new controller that achieves complete synchronization for the master-slave chaotic hyperjerk systems with four quadratic nonlinearities.},
 title={A new chaotic hyperjerk system with four quadratic nonlinearities, its bifurcation analysis, multistability, circuit design and complete synchronization design via active backstepping control},
 type={Article},
 URL={http://journals.pan.pl/Content/133803/art02.pdf},
 doi={10.24425/acs.2024.153098},
 keywords={chaotic systems, chaos, hyperjerk systems, bifurcation analysis, circuit design, backstepping control, synchronization},
}