Weakly coupled reaction–diffusion systems with rapidly growing nonlinearities and singular initial data

2019 ◽  
Vol 189 ◽  
pp. 111576
Author(s):  
Yasuhito Miyamoto ◽  
Masamitsu Suzuki
Keyword(s):  
Initial Data ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Weakly Coupled ◽  
Singular Initial Data ◽  
Coupled Reaction

scholarly journals Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Adel Ouannas ◽  
Mouna Abdelli ◽  
Zaid Odibat ◽  
Xiong Wang ◽  
Viet-Thanh Pham ◽  
...  
Keyword(s):  
Reaction Diffusion ◽  
High Dimensional ◽  
Synchronization Control ◽  
Complete Synchronization ◽  
Reaction Diffusion Systems ◽  
Control Techniques ◽  
Diffusion Systems ◽  
Control Schemes ◽  
And Control ◽  
Coupled Reaction

Synchronization and control in high dimensional spatial-temporal systems have received increasing interest in recent years. In this paper, the problem of complete synchronization for reaction-diffusion systems is investigated. Linear and nonlinear synchronization control schemes have been proposed to exhibit synchronization between coupled reaction-diffusion systems. Synchronization behaviors of coupled Lengyel-Epstein systems are obtained to demonstrate the effectiveness and feasibility of the proposed control techniques.

scholarly journals Spatiotemporal chaos and quasipatterns in coupled reaction–diffusion systems

2020 ◽  
Vol 409 ◽  
pp. 132475 ◽  
Author(s):  
Jennifer K. Castelino ◽  
Daniel J. Ratliff ◽  
Alastair M. Rucklidge ◽  
Priya Subramanian ◽  
Chad M. Topaz
Keyword(s):  
Reaction Diffusion ◽  
Spatiotemporal Chaos ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Coupled Reaction
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