Simple driven chaotic oscillators with complex variables.

@article{Marshall2009SimpleDC,
  title={Simple driven chaotic oscillators with complex variables.},
  author={Delmar Marshall and Julien Clinton Sprott},
  journal={Chaos},
  year={2009},
  volume={19 1},
  pages={
          013124
        }
}
Despite a search, no chaotic driven complex-variable oscillators of the form z+f(z)=e(iOmegat) or z+f(z)=e(iOmegat) are found, where f is a polynomial with real coefficients. It is shown that, for analytic functions f(z), driven complex-variable oscillators of the form z+f(z)=e(iOmegat) cannot have chaotic solutions. Seven simple driven chaotic oscillators of the form z+f(z,z)=e(iOmegat) with polynomial f(z,z) are given. Their chaotic attractors are displayed, and Lyapunov spectra are… 

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