This paper presents a new approach for finding analytic solutions to the Belousov–Zhabotinsky system by combining Adomian decomposition method (ADM) and homotopy perturbation (HPM) with Elzaki transform. The ADM HPM are both powerful techniques solving nonlinear differential equations, their combination allows more efficient accurate solution. transform, on other hand, is mathematical tool that...

In this project, we investigate two different models of the Belousov-Zhabotinsky Reaction, the Oregonator (1973) and a model found in a 1992 paper by Györgyi and Field. We discuss the original literature and then numerically investigate both models. We find the the Oregonator is not chaotic, and that the Györgyi-Field model is for certain values of a variable parameter. For each model, we solve...

We investigate experimentally and numerically the synchronization of two-dimensional spiral wave patterns in the Belousov-Zhabotinsky reaction due to point-to-point coupling of two separate domains. Different synchronization modalities appear depending on the coupling strength and the initial patterns in each domain. The behavior as a function of the coupling strength falls into two qualitative...

We consider a discrete version of the Brusselator Model of the famous Belousov-Zhabotinsky reaction in chemistry. The original model is a reaction-diffusion equation and its discrete version is a coupled map lattice. We study the dynamics of the local map, which is a smooth map of the plane. We discuss the set of trajectories that escape to infinity as well as analyze the set of bounded traject...

In this work we present results about the deuterium isotope effect on the global kinetics of a Belousov-Zhabotinsky reaction in batch conditions. A nonlinear dependence of the Induction Period upon the percentage of deuterated reactants was found. The isotopic effect on the bromination reaction of malonic acid was evaluated.

We present a methodology to entrap and run the Belousov-Zhabotinsky (BZ) reaction inside a polymer vesicle. We report on experiments with polymer vesicles where we observed (1) vesicle membrane deformations, (2) oscillations and (3) pulsating (expansion/contraction) episodes. The above provide us with evidence for chemo-mechanical coupling between these polymersomes and their contents.

We propose a simple method of simulating chemical reactions by using a multiset rewriting systems, the Abstract Rewriting System on Multisets (ARMS). We simulate the Oregonator model, a mathematical model of the Belousov-Zhabotinsky and We obtain the same behavior when the differential equations are used. We also investigate the Oregonator with large stochastic fluctuations and confirm that the...

We have studied the phase dynamics in an oscillatory chemical system (Belousov-Zhabotinsky reaction). The phase distribution and isophase lines in the 2D phase space were reconstructed. The dynamics proved to be well described in terms of the Burgers equation. The phase dependence of the coefficients of the equation was taken into account to estimate the region of the applicability of the Burge...

Stabilized wave segments in the photosensitive Belousov-Zhabotinsky reaction are directionally controlled with intensity gradients in the applied illumination. The constant-velocity waves behave like self-propelled particles, and multiple waves interact via an applied interaction potential. Alignment arises from the intrinsic properties of the interacting waves, leading to processional and rota...