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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Homogeneity-breaking instability of periodic solutions of Gierer-Meindardt model
Author NameAffiliationPostcode
Aying Wan Department of Science and Technology, Hulunbuir University, Hulun Buir 021008, Inner Mongolia, China 021008
Zhiqiang Song* School of engineering,Hulunbuir University, Hulun Buir 021008, Inner Mongolia, China 021008
Hongyan Lin School of Mathematics and Physics, Hulunbuir University, Hulun Buir 021008, Inner Mongolia,China 021008
Nan Xiang School of Mathematics and Physics, Hulunbuir University, Hulun Buir 021008, Inner Mongolia,China 021008
Abstract:
The homogeneity-breaking instability of the periodic solutions triggered by Hopf bifurcations of a diffusive Gierer-Meinhart system is studied in this paper. Sufficient conditions on the diffusion coefficients and the cross diffusion coefficients were derived to guarantee the occurrence of the aforementioned homogeneity- breaking instability.
Key words:  Gierer-Meindardt model  cross-diffusion  homogeneity- breaking instability  Hopf bifurcations
DOI：10.11916/j.issn.1005-9113.23014
Clc Number:O29
Fund:

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