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A new five-dimensional (5D) hyperchaotic system is presented in this paper. Four equations of the system each contain a cubic product term. We prove that the system is a true hyperchaotic system and has complex nonlinear dynamic behavior by computing and analyzing the chaotic attractor, Lyapunov exponents (LEs), bifurcation diagram, Poincare section and time domain waveform. Then, chaotic sequences...
In this paper, the generalized projective synchronization of a class of hyperchaotic systems is studied. On the basis of the state observer, it is not necessary to calculate the Lyapunov exponents, which makes this scheme simpler. Hyperchaotic Lü system and hyperchaotic Rössler systems are used as examples to validate the effectiveness of the proposed method.
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