B. Zenteno Mateo, M. Morales, R. Serrano, A. Cervantes Tavera, R. Jose Israel, Adrian Ernandes Sant'yago
{"title":"GENERALIZATION OF THE THERMOKINETIC OREGONATOR MODEL","authors":"B. Zenteno Mateo, M. Morales, R. Serrano, A. Cervantes Tavera, R. Jose Israel, Adrian Ernandes Sant'yago","doi":"10.29039/rusjbpc.2023.0645","DOIUrl":null,"url":null,"abstract":"In this research work proposal, a way to generalize the thermokinetic Oregonator model in order to simulate the dynamics of oscillating chemical reactions. The simulations to be carried out use elementary numerical methods using the Runge Kutta method, which are a very good approximation of the mathematical solutions of the models of these complex systems of nonlinear chemistry. The implications of the results of the simulations lie in the reproduction of the nonlinear dynamics of thermokinetic oregonator model to temperatures different from room temperature. Additionally, the linear stability analysis is established to find the oscillation regions in the parameter space of the proposed model.","PeriodicalId":169374,"journal":{"name":"Russian Journal of Biological Physics and Chemisrty","volume":"57 s198","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Biological Physics and Chemisrty","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29039/rusjbpc.2023.0645","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this research work proposal, a way to generalize the thermokinetic Oregonator model in order to simulate the dynamics of oscillating chemical reactions. The simulations to be carried out use elementary numerical methods using the Runge Kutta method, which are a very good approximation of the mathematical solutions of the models of these complex systems of nonlinear chemistry. The implications of the results of the simulations lie in the reproduction of the nonlinear dynamics of thermokinetic oregonator model to temperatures different from room temperature. Additionally, the linear stability analysis is established to find the oscillation regions in the parameter space of the proposed model.
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