Vanag Vladimir K
Center for Nonlinear Chemistry, Immanuel Kant Baltic Federal University, 14 A. Nevskogo St., Kaliningrad 236041, Russia.
Chaos. 2020 Jan;30(1):013112. doi: 10.1063/1.5126404.
The present theoretical study deals with microparticles (beads) that contain an immobilized Belousov-Zhabotinsky (BZ) reaction catalyst. In the theoretical experiment, a BZ bead is immersed in a small water droplet that contains all of the BZ reaction reagents but no catalyst. Such heterogeneous reaction-diffusion BZ systems with the same BZ reactant concentrations demonstrate various dynamic modes, including steady state and low-amplitude, high-amplitude, and mixed-mode oscillations (MMOs). The emergence of such dynamics depends on the sizes of the bead and water droplet, as well as on the location of the bead inside the droplet. MMO emergence is explained by time-delayed positive feedback in combination with a canard phenomenon. If two identical BZ beads are immersed in the same droplet, many different dynamic modes including chaos are observed.
目前的理论研究涉及含有固定化别洛索夫-扎博廷斯基（BZ）反应催化剂的微粒（珠子）。在理论实验中，一个BZ珠子被浸入一个小水滴中，该水滴含有所有BZ反应试剂，但不含催化剂。这种具有相同BZ反应物浓度的非均相反应-扩散BZ系统表现出各种动态模式，包括稳态以及低振幅、高振幅和混合模式振荡（MMO）。这种动力学的出现取决于珠子和水滴的大小，以及珠子在水滴内部的位置。MMO的出现是由时滞正反馈与鸭现象相结合来解释的。如果将两个相同的BZ珠子浸入同一水滴中，则会观察到包括混沌在内的许多不同动态模式。
