Dynamics of a hyperchaotic Lorenz System

@article{Barboza2007DynamicsOA,
  title={Dynamics of a hyperchaotic Lorenz System},
  author={Ruy Barboza},
  journal={I. J. Bifurcation and Chaos},
  year={2007},
  volume={17},
  pages={4285-4294}
}
In this paper, we investigate the dynamics of the Lorenz system, linearly extended into one additional dimension. The system is hyperchaotic in a wide range of parameters. A theoretical and numerical study indicates that chaos and hyperchaos are produced with the help of a van der Pol-like oscillatory motion around a hypersaddle stationary point at the origin. Numerical experiments are presented, showing Lyapunov exponents, bifurcation diagrams and Poincare sections. 

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