Can a Three-Dimensional Smooth Autonomous Quadratic Chaotic System Generate a Single Four-scroll Attractor?

@article{Liu2004CanAT,
  title={Can a Three-Dimensional Smooth Autonomous Quadratic Chaotic System Generate a Single Four-scroll Attractor?},
  author={Wenbo Liu and Guanrong Chen},
  journal={I. J. Bifurcation and Chaos},
  year={2004},
  volume={14},
  pages={1395-1403}
}
Recently, we have investigated a new chaotic system of three-dimensional autonomous quadratic ordinary differential equations, and found that the system visually displays a four-scroll chaotic attractor confirmed by both numerical simulations and circuit implementation. In this paper, we further study the following question: Is it really true that this system can generate a four-scroll chaotic attractor, or is it only a numerical artifact? By a more careful theoretical analysis along with some… CONTINUE READING
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