Research articles
ScienceAsia 50 (2024):ID 2024012 1-9 |doi:
10.2306/scienceasia1513-1874.2024.012
Dependence of initial value and adaptive adjustment on
pattern formation for the coupled discrete diffusion system
Li Xua,b, Jing Duc,*
ABSTRACT: Turing patterns formation may depend on variation of the initial conditions. In this work, the dependent
mechanism of initial distributions on pattern formation for the coupled discrete diffusion system is discussed, some
asymptotic behavior between pattern formation and initial value determined by the corresponding eigenvectors of the
eigenvalue for discrete Laplace operator can be given. To control the coupled discrete diffusion system for pattern
selection, an adaptive adjustment mechanism is applied, and some theoretical generalizations are obtained. Then, the
effectiveness of the theory analysis is validated though simulation results.
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| a |
School of Technology, Lishui University, Lishui 323000 China |
| b |
School of Science, Tianjin University of Commerce, Tianjin 300130 China |
| c |
School of Medicine, Lishui University, Lishui 323000 China |
* Corresponding author, E-mail: bettyhappy409@163.com
Received 4 Aug 2022, Accepted 2 Sep 2023
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