{"title":"Chaos in a nonlinear Lorentz-Lu-Chen system via the fractal fractional operator of Atangana-Baleanu","authors":"Sayed Saber, Najat Almutairi","doi":"10.59671/qc5vy","DOIUrl":null,"url":null,"abstract":"This paper establishes the presence or absence of chaotic behaviors in the nonlinear modified Lorentz-L\\\\\\\"{u}-Chen using the Atangana-Baleanu fractal-fractional operators. Moreover, we investigate the impact of the fractal-fractional operators on the system\\'s behavior and provide insights into the underlying dynamics. Fixed point theory proves the Lorentz-L\\\\\\\"{u}-Chen existence and uniqueness under this operator. Furthermore, we applied a numerical power series method to solve the proposed models. To illustrate the applicability and efficiency of this suggested method, numerical examples are provided. To verify the results provided in this paper, a circuit schematic has been drawn and simulated.","PeriodicalId":13651,"journal":{"name":"Interciencia","volume":"37 1","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Interciencia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.59671/qc5vy","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper establishes the presence or absence of chaotic behaviors in the nonlinear modified Lorentz-L\\\"{u}-Chen using the Atangana-Baleanu fractal-fractional operators. Moreover, we investigate the impact of the fractal-fractional operators on the system\'s behavior and provide insights into the underlying dynamics. Fixed point theory proves the Lorentz-L\\\"{u}-Chen existence and uniqueness under this operator. Furthermore, we applied a numerical power series method to solve the proposed models. To illustrate the applicability and efficiency of this suggested method, numerical examples are provided. To verify the results provided in this paper, a circuit schematic has been drawn and simulated.
期刊介绍：
Interciencia is the monthly multidisciplinary publication of the INTERCIENCIA Association. It is dedicated to stimulate scientific research, its humanitarian use and the study of its social context, specially in Latin America and the Caribbean and to promote communication between the scientific and technological communities of the Americas.
Interciencia has been published uninterruptedly since 1976. Its Founding Director, Marcel Roche (endocrinologist and sociologist of science) was editor until 2008, and thereafter Miguel Laufer (neurobiologist) has been in charge. It has been included since 1978 in the Science Citation Index and other international indexes, and since 2008 it maintains an open access electronic version with material from 2005 onwards.
The priority areas of the journal, without exclusion of other areas, are Agronomy, Arid Lands, Food and Nutrition, Biotechnology, Ecology and Environment, Energy, Innovation and Technology Transfer, Marine Resources, Non-renewable Resources, Science Education, Science Policy, Study and Sociology of Science, and Tropical Forests.
Interciencia publishes in Spanish, Portuguese and English research and review articles, communications and essays, all of which are subjected to peer review. Additionally, it includes non-refereed sections such as Editorial, Letters to the Editor, Open Town Hall, Book Reviews and Upcoming Events.
All the material submitted to the journal for publication and accepted by the Editorial Committee in view of its quality and pertinence is subjected to review by peer specialists in the corresponding fields of knowledge. Neither the INTERCIENCIA Association, nor the journal or the institutions to which the authors belong carry responsibility for the contents. Signing authors are responsible for the material published under their names.
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