Supercritical Hopf bifurcation and Turing patterns for an activator and inhibitor model with different sources

Supercritical Hopf bifurcation and Turing patterns for an activator and inhibitor model with different sources

Abstract We study the pattern generating mechanism of a generalized Gierer–Meinhardt model with diffusions. We show the existence and stability of the Hopf bifurcation for the corresponding kinetic system under certain conditions. With spatial uneven diffusions, the obtained stable Hopf periodic sol...

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Bibliographic Details
Main Authors: Jinliang Wang, You Li, Xiaojie Hou
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Advances in Difference Equations
Subjects:
Supercritical
Hopf bifurcation
Turing instability
Spatial pattern
Online Access:http://link.springer.com/article/10.1186/s13662-018-1697-5

Internet

http://link.springer.com/article/10.1186/s13662-018-1697-5

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