A new four-dimensional hyperjerk system with stable equilibrium point, circuit implementation, and its synchronization by using an adaptive integrator backstepping control. (October 2018)

• Record Type: Journal Article
• Authors: Singh, J P; Pham, V T; Hayat, T; Jafari, S; Alsaadi, F E; Roy, B K
• Is Part Of: Chinese physics B. Volume 27:Number 10(2018)
• Publication Date: 2018-10
• Subjects: new hyperjerk chaotic system -- stable equilibrium -- hidden attractors -- adaptive backstepping control -- synchronization; 05.45.-a -- 05.45.Gg -- 05.45.Jn; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1674-1056/27/10/100501
• Languages: English
• ISSNs: 1674-1056

Abstract

Abstract : This paper reports a new simple four-dimensional (4D) hyperjerk chaotic system. The proposed system has only one stable equilibrium point. Hence, its strange attractor belongs to the category of hidden attractors. The proposed system exhibits various dynamical behaviors including chaotic, periodic, stable nature, and coexistence of various attractors. Numerous theoretical and numerical methods are used for the analyses of this system. The chaotic behavior of the new system is validated using circuit implementation. Further, the synchronization of the proposed systems is shown by designing an adaptive integrator backstepping controller. Numerical simulation validates the synchronization strategy.