Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 29, Issue 9, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127419501177
Keywords
Multiscroll; hyperchaotic; hidden attractor; adaptive synchronization; hardware experiment
Funding
- National Natural Science Foundation of China [61571185]
- Science and Technology Planning Project of Hunan Province [2017GK4009]
- Open Fund Project of Key Laboratory in Hunan Universities [18K010]
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Based on the study on Jerk chaotic system, a multiscroll hyperchaotic system with hidden attractors is proposed in this paper, which has infinite number of equilibriums. The chaotic system can generate N+M+2 scroll hyperchaotic hidden attractors. The dynamic characteristics of the multiscroll hyperchaotic system with hidden attractors are analyzed by means of dynamic analysis methods such as Lyapunov exponents and bifurcation diagram. In addition, we have studied the synchronization of the system by applying an adaptive control method. The hardware experiment of the proposed multiscroll hyperchaotic system with hidden attractors is carried out using discrete components. The hardware experimental results are consistent with the numerical simulation results of MATLAB and the theoretical analysis results.
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