Dynamics of the Stochastic Belousov-Zhabotinskii Chemical Reaction Model

Different Kinds of Chaotic Oscillations in the Belousov-Zhabotinskii Reaction

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

Identification of the Belousov-zhabotinskii Reaction Using Cellular Automata Models

New methods of identifying the transition rule of a Belousov–Zhabotinskii (BZ) reaction directly from experimental data using cellular automata (CA) models are investigated. The experimental set-up and new techniques for image pre-processing to ensure the identification of representative models are discussed including noise reduction, pixel and color calibration. Two kinds of models, the Greenb...

Pattern Formation and Wave Propagation in the Belousov-Zhabotinskii Reaction

Identification of a temperature Dependent FitzHugh-Nagumo Model for the Belousov-Zhabotinskii reaction

This paper describes the identification of a temperature dependent FitzHugh–Nagumo model directly from experimental observations with controlled inputs. By studying the steady states and the trajectory of the phase of the variables, the stability of the model is analyzed and a rule to generate oscillation waves is proposed. The dependence of the oscillation frequency and propagation speed on th...

Topological Analysis of Chaotic Time Series Data from the Belousov-Zhabotinskii Reaction

G. B. Mindlin ~ , H. G. Solari 1'2, M. A. Natiello 3, R. Gilmore 1 , and X.-J. Hou 1 1 Department of Physics and Atmospheric Science, Drexel University, Philadelphia, PA 19104, USA 2 Present address: Departamento de Ffsica, FCEN-Universidad de Buenos Aires, Pabelldn I, Ciudad Universitaria, 1428 Buenos Aires, Argentina 3 Department of Quantum Chemistry, Uppsala University, Box 518, $751, 20 Upp...