Bifurcation Analysis of Spiral Growth Processes in Plants

C.A. Andersen; C.N. Ernstsen; Erik Mosekilde

Bifurcation Analysis of Spiral Growth Processes in Plants

C.A. Andersen
, C.N. Ernstsen
, Erik Mosekilde

Department of Physics

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

In order to examine the significance of different assumptions about the range of the inhibitory forces, we have performed a series of bifurcation analyses of a simple model that can explain the formation of helical structures in phyllotaxis. Computer simulations are used to illustrate the role of transient phenomena and to determine the basins of attraction for the various coexisting structures.

Original language	English
Journal	Mathematics and Computers in Simulation
Volume	49
Issue number	1-2
Pages (from-to)	41-56
ISSN	0378-4754
Publication status	Published - 1999

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title = "Bifurcation Analysis of Spiral Growth Processes in Plants",

abstract = "In order to examine the significance of different assumptions about the range of the inhibitory forces, we have performed a series of bifurcation analyses of a simple model that can explain the formation of helical structures in phyllotaxis. Computer simulations are used to illustrate the role of transient phenomena and to determine the basins of attraction for the various coexisting structures.",

author = "C.A. Andersen and C.N. Ernstsen and Erik Mosekilde",

year = "1999",

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T1 - Bifurcation Analysis of Spiral Growth Processes in Plants

AU - Andersen, C.A.

AU - Ernstsen, C.N.

AU - Mosekilde, Erik

PY - 1999

Y1 - 1999

N2 - In order to examine the significance of different assumptions about the range of the inhibitory forces, we have performed a series of bifurcation analyses of a simple model that can explain the formation of helical structures in phyllotaxis. Computer simulations are used to illustrate the role of transient phenomena and to determine the basins of attraction for the various coexisting structures.

AB - In order to examine the significance of different assumptions about the range of the inhibitory forces, we have performed a series of bifurcation analyses of a simple model that can explain the formation of helical structures in phyllotaxis. Computer simulations are used to illustrate the role of transient phenomena and to determine the basins of attraction for the various coexisting structures.

M3 - Journal article

SN - 0378-4754

VL - 49

SP - 41

EP - 56

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 1-2

ER -

Bifurcation Analysis of Spiral Growth Processes in Plants

Abstract

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