Simulation of Chemical Oscillator Network

Kopets, Ekaterina E.; Каримов, А.; Khafizova, Aliya M.; Katser, Evgenii A.; Shchetinina, Tatiana G.

doi:10.1109/elconrus54750.2022.9755825

Cited by 2 publications

(4 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The evolution of the intermediate species in time is described by a nonlinear system of Equation (8), in which C play the role of a catalyst. In this reaction, the catalyst is represented by the total concentration of Ce ions in the system (C = [Ce]).…”

Section: Györgyi-field Modelmentioning

confidence: 99%

“…The synchronization of two systems is one of the most studied topics in chaos and it is used in physical, chemical, biological, social and engineering dynamic systems [7,8,15]. Theoretical methods of synchronization are very difficult to develop but are necessary for controlling the evolution of systems.…”

Section: The Synchronizationsmentioning

confidence: 99%

“…A faster synchronization relies on choosing adequate values for Υ and for the initial concentrations. According to this method, the master system of the Györgyi-Field mechanism is described by Equation (8), and the slaves are described by:…”

Section: The Synchronizationsmentioning

confidence: 99%

“…The oscillation states of the BZ reaction can be experimentally controlled by monitoring the continuous flow in reaction tanks [7]. The spatiotemporal pattern of these oscillations can be simulated by using the dynamics of the coupled map lattice [7] or Brusselator equation [8,9]. Over the last decades, there has been considerable progress in generalizing the concept of synchronization to include the case of clusters [10], neuron networks [11] and chaotic oscillators networks [12], especially from technical reasons [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Chaos Synchronization of Two Györgyi–Field Systems for the Belousov–Zhabotinsky Chemical Reaction

Oancea¹,

Bodale

2022

Mathematics

View full text Add to dashboard Cite

Chemical reactions with oscillating behavior can present a chaos state in specific conditions. In this study, we analyzed the dynamic of the chaotic Belousov–Zhabotinsky (BZ) reaction using the Györgyi–Field model in order to identify the conditions of the chaos behavior. We studied the behavior of the reaction under different parameters that included both a low and high flux of chemical species. We performed our analysis of the flow regime in the conditions of an open reaction system, as this provides information about the behavior of the reaction over time. The proposed method for determining the favorable conditions for obtaining the state of chaos is based on the time evolution of the intermediate species and phase portraits. The synchronization of two Györgyi–Field systems based on the adaptive feedback method of control is presented in this work. The transient time until synchronization depends on the initial conditions of the two systems and on the strength of the controllers. Among the areas of interest for possible applications of the control method described in this paper, we can include identification of the reaction parameters and the extension to the other chaotic systems.

show abstract

Section: Györgyi-field Modelmentioning

confidence: 99%

Section: The Synchronizationsmentioning

confidence: 99%

Section: The Synchronizationsmentioning

confidence: 99%