Phyllotaxis and patterns on plants

Energy FunctionalE{A m , A m ∗, ...} = − ∑ σ m A m A ∗ m−∑ τ jpq (A ∗ j A pA q + (∗))+ γ ∑ ( 1 2 |A m| 4 + ∑ m≠sδ ms |A m | 2 |A s | 2 )Adiabatic responseSolve stationary amplitude equationsChoose l m , l n to minimize EA j (l m , l n , r)Alan C. Newell, Zhiying Sun, Patrick D. Shipman<strong>Phyllotaxis</strong> <strong>and</strong> <strong>patterns</strong> on plants