Standing Wave Oscillations with Periodical Spatial Structures in an Active Josephson Junction Line and in Reaction-Diffusion Systems

1983 ◽  
Vol 43 (5) ◽  
pp. 1156-1173
Author(s):  
Kenjiro Maginu
Keyword(s):  
Josephson Junction ◽  
Standing Wave ◽  
Reaction Diffusion ◽  
Spatial Structures ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems

Hexagonal Standing-Wave Patterns in Periodically Forced Reaction–Diffusion Systems

2006 ◽  
Vol 23 (6) ◽  
pp. 1414-1417 ◽  
Author(s):  
Zhang Ke ◽  
Wang Hong-Li ◽  
Qiao Chun ◽  
Ouyang Qi
Keyword(s):  
Standing Wave ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Wave Patterns

Multistability and Stochastic Phenomena in the Distributed Brusselator Model

2019 ◽  
Vol 15 (1) ◽  
Author(s):  
Alexander Kolinichenko ◽  
Lev Ryashko
Keyword(s):  
Reaction Diffusion ◽  
Turing Instability ◽  
Spatial Structures ◽  
Reaction Diffusion Systems ◽  
Corporate Influence ◽  
Basic Model ◽  
Brusselator Model ◽  
Diffusion Systems ◽  
Random Disturbances ◽  
Stochastic Phenomena

Abstract An influence of random disturbances on the pattern formation in reaction–diffusion systems is studied. As a basic model, we consider the distributed Brusselator with one spatial variable. A coexistence of the stationary nonhomogeneous spatial structures in the zone of Turing instability is demonstrated. A numerical parametric analysis of shapes, sizes of deterministic pattern–attractors, and their bifurcations is presented. Investigating the corporate influence of the multistability and stochasticity, we study phenomena of noise-induced transformation and generation of patterns.

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