Pub Date : 2024-02-15DOI: 10.1080/10236198.2024.2314411
René Lozi, Vladimir Belykh, Jim Michael Cushing, Lyudmila Efremova, Saber Elaydi, Laura Gardini, Michał Misiurewicz, Eckehard Schöll, Galina Strelkova
This article is devoted to the first steps of nine mathematicians from five countries on their path to mathematics, chaos and discrete dynamical systems, some from early childhood. In these life st...
{"title":"The paths of nine mathematicians to the realm of dynamical systems","authors":"René Lozi, Vladimir Belykh, Jim Michael Cushing, Lyudmila Efremova, Saber Elaydi, Laura Gardini, Michał Misiurewicz, Eckehard Schöll, Galina Strelkova","doi":"10.1080/10236198.2024.2314411","DOIUrl":"https://doi.org/10.1080/10236198.2024.2314411","url":null,"abstract":"This article is devoted to the first steps of nine mathematicians from five countries on their path to mathematics, chaos and discrete dynamical systems, some from early childhood. In these life st...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"15 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-14DOI: 10.1080/10236198.2024.2316001
René Lozi
Published in Journal of Difference Equations and Applications (Ahead of Print, 2024)
发表于《差分方程及应用期刊》（2024 年，提前出版）
{"title":"Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexity","authors":"René Lozi","doi":"10.1080/10236198.2024.2316001","DOIUrl":"https://doi.org/10.1080/10236198.2024.2316001","url":null,"abstract":"Published in Journal of Difference Equations and Applications (Ahead of Print, 2024)","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"46 4 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-14DOI: 10.1080/10236198.2024.2316379
Maricela Cruz, Austin Wei, Johanna Hardin, Ami Radunskaya
The logistic map is a nonlinear difference equation well studied in the literature, used to model self-limiting growth in certain populations. It is known that, under certain regularity conditions,...
{"title":"Long-term averages of the stochastic logistic map","authors":"Maricela Cruz, Austin Wei, Johanna Hardin, Ami Radunskaya","doi":"10.1080/10236198.2024.2316379","DOIUrl":"https://doi.org/10.1080/10236198.2024.2316379","url":null,"abstract":"The logistic map is a nonlinear difference equation well studied in the literature, used to model self-limiting growth in certain populations. It is known that, under certain regularity conditions,...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"39 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-14DOI: 10.1080/10236198.2024.2311674
Carlos E. T. Dórea, Sorin Olaru, Silviu-Iulian Niculescu, Vladimir Răsvan
This paper revisits the set-invariance for linear delay-difference equations and proposes novel delay-dependent notions in contrast with the existing delay-independent constructions available in th...
{"title":"Delay-dependent set-invariance for linear difference equations with multiple delays: a polyhedral approach","authors":"Carlos E. T. Dórea, Sorin Olaru, Silviu-Iulian Niculescu, Vladimir Răsvan","doi":"10.1080/10236198.2024.2311674","DOIUrl":"https://doi.org/10.1080/10236198.2024.2311674","url":null,"abstract":"This paper revisits the set-invariance for linear delay-difference equations and proposes novel delay-dependent notions in contrast with the existing delay-independent constructions available in th...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-14DOI: 10.1080/10236198.2024.2316013
Adam Czornik, Konrad Kitzing, Stefan Siegmund
In A. Czornik et al. [Spectra based on Bohl exponents and Bohl dichotomy for non-autonomous difference equations, J. Dynam. Differ. Equ. (2023)] the concept of Bohl dichotomy is introduced which is...
In A. Czornik et al. [Spectra based on Bohl exponents and Bohl dichotomy for non-autonomous difference equations, J. Dynam.Differ.Equ.(2023)] 中引入了 Bohl 二分法的概念，这是...
{"title":"The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy","authors":"Adam Czornik, Konrad Kitzing, Stefan Siegmund","doi":"10.1080/10236198.2024.2316013","DOIUrl":"https://doi.org/10.1080/10236198.2024.2316013","url":null,"abstract":"In A. Czornik et al. [Spectra based on Bohl exponents and Bohl dichotomy for non-autonomous difference equations, J. Dynam. Differ. Equ. (2023)] the concept of Bohl dichotomy is introduced which is...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"16 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-12DOI: 10.1080/10236198.2024.2316021
Bo Wang, Candice X. T. Zhang
By using Mařík's theorem and the theory of multiplier sequences, we give some sufficient conditions for proving the higher order Turán inequalities for nonnegative sequences. As an immediate conseq...
{"title":"Some criteria for higher order Turán inequalities in the spirit of Mařík's theorem","authors":"Bo Wang, Candice X. T. Zhang","doi":"10.1080/10236198.2024.2316021","DOIUrl":"https://doi.org/10.1080/10236198.2024.2316021","url":null,"abstract":"By using Mařík's theorem and the theory of multiplier sequences, we give some sufficient conditions for proving the higher order Turán inequalities for nonnegative sequences. As an immediate conseq...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-22DOI: 10.1080/10236198.2024.2302014
Magdalena Foryś-Krawiec, Piotr Oprocha
We study the metric mean dimension of Φ-irregular set IΦ(f) in dynamical systems with the shadowing property. In particular, we prove that for dynamical systems with the shadowing property containi...
{"title":"Metric mean dimension of irregular sets for maps with shadowing","authors":"Magdalena Foryś-Krawiec, Piotr Oprocha","doi":"10.1080/10236198.2024.2302014","DOIUrl":"https://doi.org/10.1080/10236198.2024.2302014","url":null,"abstract":"We study the metric mean dimension of Φ-irregular set IΦ(f) in dynamical systems with the shadowing property. In particular, we prove that for dynamical systems with the shadowing property containi...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"24 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139518252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-19DOI: 10.1080/10236198.2024.2302379
Jianan Xu, Xinrong Ma
In this paper, we establish three new and general transformations with sixteen parameters and bases via Abel's lemma on summation by parts. As applications, we set up a lot of new transformations o...
{"title":"General q-series transformations based on Abel's lemma on summation by parts and their applications","authors":"Jianan Xu, Xinrong Ma","doi":"10.1080/10236198.2024.2302379","DOIUrl":"https://doi.org/10.1080/10236198.2024.2302379","url":null,"abstract":"In this paper, we establish three new and general transformations with sixteen parameters and bases via Abel's lemma on summation by parts. As applications, we set up a lot of new transformations o...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"255 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139553744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-05DOI: 10.1080/10236198.2023.2300726
Marc E. Songolo, Brigitte Bidégaray-Fesquet
In this paper, we present a reformulation of Mickens' rules for nonstandard finite difference (NSFD) schemes to adapt them to systems of ODEs. We want to compare several methods within the class of...
{"title":"Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients","authors":"Marc E. Songolo, Brigitte Bidégaray-Fesquet","doi":"10.1080/10236198.2023.2300726","DOIUrl":"https://doi.org/10.1080/10236198.2023.2300726","url":null,"abstract":"In this paper, we present a reformulation of Mickens' rules for nonstandard finite difference (NSFD) schemes to adapt them to systems of ODEs. We want to compare several methods within the class of...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"105 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139376661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-03DOI: 10.1080/10236198.2023.2298830
Lijuan Niu, Qiaoling Chen, Zhidong Teng
This paper concerns a discrete-time phytoplankton–zooplankton model in which the effects of toxin produced by phytoplankton and refuges provided for phytoplankton on the interactions between phytop...
{"title":"Bifurcation analysis in a discrete toxin-producing phytoplankton–zooplankton model with refuge","authors":"Lijuan Niu, Qiaoling Chen, Zhidong Teng","doi":"10.1080/10236198.2023.2298830","DOIUrl":"https://doi.org/10.1080/10236198.2023.2298830","url":null,"abstract":"This paper concerns a discrete-time phytoplankton–zooplankton model in which the effects of toxin produced by phytoplankton and refuges provided for phytoplankton on the interactions between phytop...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"3 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139372867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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