Publications [#3927] of Anna L Lin
Papers Published
- Arik Yochelis, Aric Hagberg, Ehud Meron, Anna L. Lin, Harry L. Swinney, Development of Standing-Wave Labyrinthine Patterns,
SIAM Journal on Applied Dynamical Systems, vol. 1 no. 2
(December, 2002),
pp. 236-247, Society of Industrial and Applied Mathematics [39711]
(last updated on 2002/12/20)Abstract:
Abstract. Experiments on a quasi-two-dimensional Belousov--Zhabotinsky (BZ) reaction-diffusion system, periodically forced at approximately twice its natural frequency, exhibit resonant labyrinthine patterns that develop through two distinct mechanisms. In both cases, large amplitude labyrinthine patterns form that consist of interpenetrating fingers of frequency-locked regions differing in phase by $\pi$. Analysis of a forced complex Ginzburg--Landau equation captures both mechanisms observed for the formation of the labyrinths in the BZ experiments: a transverse instability of front structures and a nucleation of stripes from unlocked oscillations. The labyrinths are found in the experiments and in the model at a similar location in the forcing amplitude and frequency parameter plane.