GAO Zhizhong. Analysis, linear feedback synchronization and circuit realization of a hyperchaotic Tangs system[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2020,59(1):15-23.
GAO Zhizhong. Analysis, linear feedback synchronization and circuit realization of a hyperchaotic Tangs system[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2020,59(1):15-23. DOI: 10.13471/j.cnki.acta.snus.2020.01.003.
a new fourdimensional Tang hyperchaotic system based on Tang system is built. The phase diagram,bifurcation diagram and Lyapunov exponents spectrum diagram of the system are analyzed by means of numerical simulations.Numerical simulations show that the new systems dynamics behavior can be periodic
quasiperiodic
chaotic and hyperchaotic as the parameter varies. Compared to the previous hyperchaotic
the system possess the large change range with new parameters
k
and the system changes with
k
and
p
show the same dynamic behavior and a certain proportion. Linear controller is designed to realize synchronization of the hyperchaotic system. Results demonstrate that the method is correct and effective. Finally
a corresponding experimental circuit is designed. The hyperchaotic dynamical behavior of the circuit system and synchronization results of the driver system as well as response system are observed by an oscilloscope. The results are basically consistent with those of digital simulation.