A new Lorenz-type hyperchaotic system with a curve of equilibria

  title={A new Lorenz-type hyperchaotic system with a curve of equilibria},
  author={Yuming Chen and Qigui Yang},
  journal={Mathematics and Computers in Simulation},
Little seems to be known about hyperchaotic systems with a curve of equilibria. Based on the classical Lorenz system, this paper proposes a new four-dimensional Lorenz-type hyperchaotic system which has a curve of equilibria. This new system can generate not only hyperchaotic attractors but also chaotic, quasi-periodic and periodic attractors, as well as singular degenerate heteroclinic cycles. Of particular interest is the observation that there are four types of coexisting attractors of this… CONTINUE READING

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