走化性・増殖系に現れる六角形パ夕ーン

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概要

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• The chemotaxis-diffusion growth system in a rectangular domain is studied. We study the system from a point of view of pattern formation phenomena. The linear analysis tells us that a trivial solution (spatially uniform solution) is destabilized if the chemotaxis coefficient is large. And it is possible to choice a set of parameters such that three modes which compose a hexagonal pattern are destabilized simultaneously. Around this critical point, we analyze the chemotaxis system based on the center manifold theory. As a result, the normal form on the center manifold is obtained. Using the normal form, we discuss the existence and stabilities of a regular hexagonal pattern in the chemotaxis system.

• 2012-03-27

著者

• 大崎 浩一

  関西学院大学理工学部

• 大崎 浩一

  関西学院大学理工学部数理科学科

• 奥田 孝志

  気象大学校

関連論文

• Application of normal form theory to a chemotaxis system in one dimension (Dynamical Systems : Theories to Applications and Applications to Theories)
• 走化性・増殖系に現れる六角形パ夕ーン

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