Complex oscillation modes in the Belousov-Zhabotinsky reaction by weak diffusive coupling

Autor: J. Michael Köhler, Philipp Maass, Mario Einax, Claudia Lenk
Rok vydání: 2019
Předmět:
Zdroj: Physical Review E. 99
ISSN: 2470-0053
2470-0045
DOI: 10.1103/physreve.99.022202
Popis: We study the diffusive coupling of oscillating or excitable Belousov-Zhabotinsky reaction units arranged in a square lattice array and show that for certain sizes of the units and for certain distances between the units, complex oscillation modes of individual spots occur, which manifest themselves in multi-periodic, amplitude-modulated, and multi-mode oscillations. This experimental finding can be reproduced in simulations of the FitzHugh-Nagumo model mimicking the experimental setup, suggesting that it is a generic phenomenon in systems of coupled excitable units such as excitable cell tissues or coupled oscillators such as neurons. Further analysis let us conclude that the complex oscillation modes occur close to the transition from quiescent to coupling-induced oscillations states if this transition is taking place at weak coupling strength.
Databáze: OpenAIRE