Phyllotaxis as a Dynamical Self Organizing Process Part II: The Spontaneous Formation of a Periodicity and the Coexistence of Spiral and Whorled Patterns

@article{Douady1996PhyllotaxisAA,
  title={Phyllotaxis as a Dynamical Self Organizing Process Part II: The Spontaneous Formation of a Periodicity and the Coexistence of Spiral and Whorled Patterns},
  author={St{\'e}phane Douady and Yves Couder},
  journal={Journal of Theoretical Biology},
  year={1996},
  volume={178},
  pages={275-294}
}
Abstract The conditions for the appearance of a new primordium put forward by Snow & Snow (1952) are shown to form the rules of a dynamical iterative system more general than that based on Hofmeister's hypotheses (1868). This system is simple, generic and compatible with several of the ideas about the possible nature of the interaction between primordia. By numerical simulation, it is demonstrated that this system is sufficient to spontaneously generate time periodic regimes in which the… 

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