On rotating spiral waves in reaction-diffusion systems

1992 ◽  
Author(s):  
Shinji Koga
Keyword(s):  
Reaction Diffusion ◽  
Spiral Waves ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems

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

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.

scholarly journals ON BIFURCATIONS OF SPIRAL WAVES IN THE PLANE

1999 ◽  
Vol 09 (08) ◽  
pp. 1501-1516 ◽  
Author(s):  
E. V. NIKOLAEV ◽  
V. N. BIKTASHEV ◽  
A. V. HOLDEN
Keyword(s):  
Period Doubling ◽  
Spiral Wave ◽  
Reaction Diffusion ◽  
Pitchfork Bifurcation ◽  
Spiral Waves ◽  
Model Systems ◽  
Reaction Diffusion Systems ◽  
Double Period ◽  
Diffusion Systems ◽  
Armed Spiral

We describe the simplest bifurcations of spiral waves in reaction–diffusion systems in the plane and present the list of model systems. One-parameter bifurcations of one-armed spiral waves are fold and Hopf bifurcations. Multiarmed spiral waves may additionally undergo a period-doubling pitchfork bifurcation, when two congruent spiral wave solutions, having the "double" period, branch from the original spiral wave at the bifurcation point.

Sign in / Sign up

Export Citation Format

Share Document