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Some analytical results about two physical models of phyllotaxis

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Publication:1894860
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DOI10.1007/BF02099473zbMath0897.92004OpenAlexW1980086235MaRDI QIDQ1894860

Yanyan Li

Publication date: 19 October 1998

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099473


zbMATH Keywords

Fibonacci numbersnoble numbersphyllotaxis


Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Continued fractions (11A55) Low-dimensional dynamical systems (37E99) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


Related Items (6)

Self-similarity and scaling in two models of phyllotaxis and the selection of asymptotic divergence angles ⋮ Phyllotactic order induced by symmetry breaking in advected Turing patterns. ⋮ Pattern formation in auxin flux ⋮ Dynamical models of phyllotaxis ⋮ A renormalization approach to the universality of scaling in phyllotaxis ⋮ A reaction diffusion model for understanding phyllotactic formation



Cites Work

  • Reaction-diffusion model for phyllotaxis
  • Phyllotaxis of flux lattices in layered superconductors
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