Spiral waves in linearly coupled reaction-diffusion systems

2007 ◽  
Vol 76 (1) ◽  
Author(s):  
Hujiang Yang ◽  
Junzhong Yang
Keyword(s):  
Reaction Diffusion ◽  
Spiral Waves ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Coupled Reaction

scholarly journals Chiral selection and frequency response of spiral waves in reaction-diffusion systems under a chiral electric field

2014 ◽  
Vol 140 (18) ◽  
pp. 184901 ◽  
Author(s):  
Bing-Wei Li ◽  
Mei-Chun Cai ◽  
Hong Zhang ◽  
Alexander V. Panfilov ◽  
Hans Dierckx
Keyword(s):  
Electric Field ◽  
Frequency Response ◽  
Reaction Diffusion ◽  
Spiral Waves ◽  
Reaction Diffusion Systems ◽  
Chiral Selection ◽  
Diffusion Systems

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

SPIRAL WAVES IN MEDIA WITH COMPLEX-EXCITABLE DYNAMICS

1999 ◽  
Vol 09 (11) ◽  
pp. 2243-2247 ◽  
Author(s):  
ANDREI GORYACHEV ◽  
RAYMOND KAPRAL
Keyword(s):  
Phase Space ◽  
Temporal Dynamics ◽  
Rotational Symmetry ◽  
Reaction Diffusion ◽  
Structural Features ◽  
Spiral Waves ◽  
Space Trajectories ◽  
Reaction Diffusion Systems ◽  
Oscillatory Dynamics ◽  
Diffusion Systems

The structure of spiral waves is investigated in super-excitable reaction–diffusion systems where the local dynamics exhibits multilooped phase-space trajectories. It is shown that such systems support stable spiral waves with broken rotational symmetry and complex temporal dynamics. The main structural features of such waves, synchronization defect lines, are demonstrated to be similar to those of spiral waves in systems with complex-oscillatory dynamics.

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