Meandering Spiral Waves in the 1,4-Cyclohexanedione Belousov−Zhabotinsky System Catalyzed by Fe[batho(SO3)2]34-/3-
نویسندگان
چکیده
منابع مشابه
Spiral Meandering
The complex, so called meandering, dynamics of spiral waves in excitable media is examined from the point of view of bifurcation theory. A computational bifurcation analysis is made of spiral dynamics. It is shown that spiral meandering is organized in parameter space around a codimension-two point where a Hopf bifurcation from rotating waves interacts with symmetries on the plane. A simple mod...
متن کاملSuperspiral structures of meandering and drifting spiral waves.
The spatiotemporal superstructure of meandering and drifting spiral waves is explained analytically. It is also demonstrated that the Hopf eigenmode that causes the transition to meandering waves is weakly exponentially localized at onset but grows exponentially slightly before onset.
متن کاملSpiral Waves and the Dynamical System Approach
Spirals are common in Nature: the snail’s shell and the ordering of seeds in the sunflower are amongst the most widely-known occurrences. While these are static, dynamic spirals can also be observed in excitable systems such as heart tissue, retina, certain chemical reactions, slime mold aggregates, flame fronts, etc. The images associated with these spirals are often breathtaking, but spirals ...
متن کاملMeandering of the Spiral Tip: An Alternative Approach
Meandering of a one-armed spiral tip has been noted in chemical reactions and numerical simulations. Barkley, Kness, and Tuckerman show that meandering can begin by Hopf bifurcation from a rigidly rotating spiral wave (a point that is verified in a B-Z reaction by Li, Ouyang, Petrov, and Swinney). At the codimension-two point where (in an appropriate sense) the frequency at Hopf bifurcation equ...
متن کاملResponse functions of spiral waves in the FitzHugh-Nagumo system
Spiral waves are rotating solutions of nonlinear reaction-diffusion systems in two spatial dimensions. Due to the symmetries of the plane, a spiral wave can be shifted and rotated arbitrary, still remaining a solution to reaction-diffusion system. Introducing a symmetry-breaking perturbation of the reaction-diffusion equation, the spiral wave begins to drift, i.e. change its rotation phase and ...
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ژورنال
عنوان ژورنال: The Journal of Physical Chemistry A
سال: 2003
ISSN: 1089-5639,1520-5215
DOI: 10.1021/jp036008n