Synchronisation, electronic circuit implementation, and fractional-order analysis of 5D ordinary differential equations with hidden hyperchaotic attractors
ZHOUCHAO WEI KARTHIKEYAN RAJAGOPAL WEI ZHANG SIFEU TAKOUGANG KINGNI AKIF AKGÜL
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Hidden hyperchaotic attractors can be generated with three positive Lyapunov exponents in the proposed 5D hyperchaotic Burke–Shaw system with only one stable equilibrium. To the best of our knowledge, this feature has rarely been previously reported in any other higher-dimensional systems. Unidirectional linear error feedback coupling scheme is used to achieve hyperchaos synchronisation, which will be estimated by using two indicators: the normalised average root-mean squared synchronisation error and the maximum cross-correlation coefficient. The 5D hyperchaotic system has been simulated using a specially designed electronic circuit and viewed on an oscilloscope, thereby confirming the results of the numerical integration. In addition, fractional-order hidden hyperchaotic system will be considered from the following three aspects: stability, bifurcation analysis and FPGA implementation. Such implementations in real time represent hidden hyperchaotic attractors with important consequences for engineering applications.
ZHOUCHAO WEI1 2 KARTHIKEYAN RAJAGOPAL3 WEI ZHANG4 SIFEU TAKOUGANG KINGNI5 AKIF AKGÜL6
Volume 97, 2023
Continuous Article Publishing mode
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