reaction diffusion
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2022 ◽  
Vol 155 ◽  
pp. 111766
Author(s):  
Dandan Hu ◽  
Jieqing Tan ◽  
Kaibo Shi ◽  
Kui Ding

2022 ◽  
Vol 414 ◽  
pp. 126661
Author(s):  
Zhilian Yan ◽  
Tong Guo ◽  
Anqi Zhao ◽  
Qingkai Kong ◽  
Jianping Zhou

2022 ◽  
Vol 40 ◽  
pp. 1-15
Author(s):  
Abderrahim Charkaoui ◽  
Ghada Kouadri ◽  
Nour Eddine Alaa

The aim of this paper is to prove the existence of weak periodic solution and super solution for M×M reaction diffusion system with L1 data and nonlinearity on the gradient. The existence is proved by the technique of sub and super solution and Schauder fixed point theorem.


Author(s):  
Yusuke Yasugahira ◽  
Masaharu Nagayama

AbstractTheoretical analysis using mathematical models is often used to understand a mechanism of collective motion in a self-propelled system. In the experimental system using camphor disks, several kinds of characteristic motions have been observed due to the interaction of two camphor disks. In this paper, we understand the emergence mechanism of the motions caused by the interaction of two self-propelled bodies by analyzing the global bifurcation structure using the numerical bifurcation method for a mathematical model. Finally, it is also shown that the irregular motion, which is one of the characteristic motions, is chaotic motion and that it arises from periodic bifurcation phenomena and quasi-periodic motions due to torus bifurcation.


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