Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors

• DOI: 10.1007/s11071-017-3542-x
• Publication Date: 2017-05-02T02:21:55Z
• Authors: Xiong Wang; Sundarapandian Va...; Christos Volos; Viet-Thanh Pham; Tomasz Kapitaniak
• Keywords: 0103 physical sciences; 01 natural sciences

Although different hyperjerk systems have been discovered, a few hyperjerk systems can exhibit hyperchaotic behavior. In this work, we introduce a new hyperjerk system with hyperchaotic attractors. By investigating dynamics of the system, we have observed the different coexisting attractors such as coexistence of period-2 attractors, or coexistence of period-2 attractor and quasiperiodic attractor. It is worth noting that this striking phenomenon is rarely reported in a hyperjerk system. The proposed system has been realized with electronic components. The agreement between the simulation and experimental results indicates the feasibility of the hyperjerk system. Moreover, chaos control and synchronization of such hyperjerk system have been also reported.