Different Kinds of Chaotic Oscillations in the Belousov-Zhabotinskii Reaction

Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction

In this article, we further consider the above system. In particular, we give a sufficient condition under which the above system is Kato chaotic for $eta=0$ and a necessary condition for the above system to be Kato chaotic for $eta=0$. Moreover, it is deduced that for $eta=0$, if $Theta$ is P-chaotic then so is this system, where a continuous map $Theta$ from a compact metric space $Z$ to itse...

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...

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...

KLTOOL: A Mathematical Tool for Analyzing Spatiotemporal Data

The quantitative analysis of low-dimensional chaotic dynamical systems has been an active area of research for many years. Up until now, most work has concentrated on the analysis of time series data from laboratory experiments and numerical simulations. Examples include Rayleigh-Bénard convection, Couette-Taylor fluid flow, and the Belousov-Zhabotinskii chemical reaction [Libchaber, Fauve & La...

Pattern Formation and Wave Propagation in the Belousov-Zhabotinskii Reaction