Phyllotaxis as a Dynamical Self Organizing Process Part III: The Simulation of the Transient Regimes of Ontogeny
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چکیده
In two previous articles [Douady & Couder (1996a,b)] two iterative systems were defined, based respectively on hypotheses developed by Hofmeister (1868) and Snow & Snow (1952). It was shown that in the latter model all the variety of the spiral, whorled and multijugate patterns observed on botany could be obtained as steady regimes of the iteration. In this third article, several of the characteristic transient evolutions observed during the ontogeny are revisited. In the framework of the iterative system of Snow & Snow these evolutions can be reproduced, provided realistic initial conditions and time variations of the parameters are imposed. 7 1996 Academic Press Limited
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Phyllotaxis as a Dynamical Self Organizing Process Part II: The Spontaneous Formation of a Periodicity and the Coexistence of Spiral and Whorled Patterns
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 ...
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