Pub Date : 2023-08-08DOI: 10.1142/s0218348x23501086
J. Schonfeld
{"title":"Generalization of electrical resistance scaling to Dirac fields on perforated fractals","authors":"J. Schonfeld","doi":"10.1142/s0218348x23501086","DOIUrl":"https://doi.org/10.1142/s0218348x23501086","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46329429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-08DOI: 10.1142/s0218348x23501049
Haiyang Cheng, Dafang Zhao, Guohui Zhao
{"title":"Fractional Quantum Hermite-Hadamard type inequalities for interval-valued functions","authors":"Haiyang Cheng, Dafang Zhao, Guohui Zhao","doi":"10.1142/s0218348x23501049","DOIUrl":"https://doi.org/10.1142/s0218348x23501049","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48876591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-08DOI: 10.1142/s0218348x23500974
PACHECO-BAUTISTA Daniel, CARREÑO-AGUILERA Ricardo, ALGREDO-BADILLO Ignacio, PATIÑO-ORTIZ Miguel
The alignment or mapping of Deoxyribonucleic Acid (DNA) reads produced by the new massively parallel sequencing machines is a fundamental initial step in the DNA analysis process. DNA alignment consists of ordering millions of short nucleotide sequences called reads, using a previously sequenced genome as a reference, to reconstruct the genetic code of a species. Even with the efforts made in the development of new multi-stage alignment programs, based on sophisticated algorithms and new filtering heuristics, the execution times remain limiting for the development of various applications such as epigenetics and genomic medicine. This paper presents an overview of recent developments in the acceleration of DNA alignment programs, with special emphasis on those based on hardware, in particular Graphics Processing Units (GPUs), Field Programmable Gate Arrays (FPGAs), and Processing-in-Memory (PIM) devices. Unlike most of the works found in the literature, which review only the proposals that gradually emerged in some specific acceleration technology, this work analyzes the contemporary state of the subject in a more comprehensive way, covering from the conception of the problem, the modern sequencing technologies and the analysis of the structure of the new alignment programs, to the most innovative software and hardware acceleration techniques. The foregoing allows to clearly define, at the end of the paper, the trends, challenges and opportunities that still prevail in the field. We hope that this work will serve as a guide for the development of new and more sophisticated DNA alignment systems.
{"title":"HARDWARE ACCELERATION OF DNA READ ALIGNMENT PROGRAMS: CHALLENGES AND OPPORTUNITIES","authors":"PACHECO-BAUTISTA Daniel, CARREÑO-AGUILERA Ricardo, ALGREDO-BADILLO Ignacio, PATIÑO-ORTIZ Miguel","doi":"10.1142/s0218348x23500974","DOIUrl":"https://doi.org/10.1142/s0218348x23500974","url":null,"abstract":"The alignment or mapping of Deoxyribonucleic Acid (DNA) reads produced by the new massively parallel sequencing machines is a fundamental initial step in the DNA analysis process. DNA alignment consists of ordering millions of short nucleotide sequences called reads, using a previously sequenced genome as a reference, to reconstruct the genetic code of a species. Even with the efforts made in the development of new multi-stage alignment programs, based on sophisticated algorithms and new filtering heuristics, the execution times remain limiting for the development of various applications such as epigenetics and genomic medicine. This paper presents an overview of recent developments in the acceleration of DNA alignment programs, with special emphasis on those based on hardware, in particular Graphics Processing Units (GPUs), Field Programmable Gate Arrays (FPGAs), and Processing-in-Memory (PIM) devices. Unlike most of the works found in the literature, which review only the proposals that gradually emerged in some specific acceleration technology, this work analyzes the contemporary state of the subject in a more comprehensive way, covering from the conception of the problem, the modern sequencing technologies and the analysis of the structure of the new alignment programs, to the most innovative software and hardware acceleration techniques. The foregoing allows to clearly define, at the end of the paper, the trends, challenges and opportunities that still prevail in the field. We hope that this work will serve as a guide for the development of new and more sophisticated DNA alignment systems.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42849591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-08DOI: 10.1142/s0218348x23501050
Leonardo H. S. Fernandes, J. W. Silva, F. H. Araujo, Paulo A. M. Dos Santos, B. Tabak
This paper disrupts mistaken applications of multifractal approaches in financial time series. Specifically, we have examined the non-linear cross-correlation between the São Paulo time series of the weekly price of ethanol and the other 14 Brazilian capitals’ time series of the weekly price of the same biofuel using the Multifractal Detrended Cross-Correlation Analysis (MF-DCCA). Given the statistical peculiars of stationary and non-stationary financial time series, we suggest two possibilities for employing multifractal approaches to these time series. Our findings shed light and promote alignment between basic time series analysis techniques and multifractal dynamics. Also, we discover that the use of MF-DCCA is highly impacted by choice of time series (stationary or non-stationary).
{"title":"Outlining guidelines for the application of the MF-DCCA in financial time series: non-stationary vs stationary","authors":"Leonardo H. S. Fernandes, J. W. Silva, F. H. Araujo, Paulo A. M. Dos Santos, B. Tabak","doi":"10.1142/s0218348x23501050","DOIUrl":"https://doi.org/10.1142/s0218348x23501050","url":null,"abstract":"This paper disrupts mistaken applications of multifractal approaches in financial time series. Specifically, we have examined the non-linear cross-correlation between the São Paulo time series of the weekly price of ethanol and the other 14 Brazilian capitals’ time series of the weekly price of the same biofuel using the Multifractal Detrended Cross-Correlation Analysis (MF-DCCA). Given the statistical peculiars of stationary and non-stationary financial time series, we suggest two possibilities for employing multifractal approaches to these time series. Our findings shed light and promote alignment between basic time series analysis techniques and multifractal dynamics. Also, we discover that the use of MF-DCCA is highly impacted by choice of time series (stationary or non-stationary).","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46296092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-08DOI: 10.1142/s0218348x23500858
Yan‐Chow Ma, Zenggui Wang
In this paper, exact traveling wave solutions of space-time fractional simplified modified Camassa–Holm (mCH) equation are investigated by the bifurcation theory. The phase portraits of the equation are obtained with different parameter conditions. By analyzing different orbits, periodic wave, kink, anti-kink, burst wave, bright and dark solitary solutions of the equation are acquired. Finally, numerical simulation and the effects of fractional order taking on the dynamic behaviors of various forms of solutions are analytically discussed.
{"title":"BIFURCATION AND EXACT SOLUTIONS OF SPACE-TIME FRACTIONAL SIMPLIFIED MODIFIED CAMASSA–HOLM EQUATION","authors":"Yan‐Chow Ma, Zenggui Wang","doi":"10.1142/s0218348x23500858","DOIUrl":"https://doi.org/10.1142/s0218348x23500858","url":null,"abstract":"In this paper, exact traveling wave solutions of space-time fractional simplified modified Camassa–Holm (mCH) equation are investigated by the bifurcation theory. The phase portraits of the equation are obtained with different parameter conditions. By analyzing different orbits, periodic wave, kink, anti-kink, burst wave, bright and dark solitary solutions of the equation are acquired. Finally, numerical simulation and the effects of fractional order taking on the dynamic behaviors of various forms of solutions are analytically discussed.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48413850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Unlocking the plants' distribution in a fractal space","authors":"Ji-Huan He, Qian Yang, Chun-Hui He, Abdulrahman Alsolami","doi":"10.1142/s0218348x23501025","DOIUrl":"https://doi.org/10.1142/s0218348x23501025","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49504125","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Asymptotic stability analysis and stabilization control of fractional-order vehicle suspension system with time delay","authors":"Zhe Zhang, Xiaoyao Li, Yao-Yu Wang, M. Liu, Xiao-gang Zhang, Jing Zhang","doi":"10.1142/s0218348x23501062","DOIUrl":"https://doi.org/10.1142/s0218348x23501062","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49262208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Fractal Model for Electrical Conductivity of Porous Media Embedded with a Damaged Tree-Like Network","authors":"Peilong Wang, Boqi Xiao, Yidan Zhang, Huaizhi Zhu, Guoying Zhang, Gongbo Long, Yanbin Wang","doi":"10.1142/s0218348x23501037","DOIUrl":"https://doi.org/10.1142/s0218348x23501037","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46058744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-08DOI: 10.1142/s0218348x23500986
Shivam, Teekam Singh, Mukesh Kumar, S. Hsieh, K. Singh
{"title":"Self-Diffusive Spatiotemporal Patterns in a Food Chain Model Through Weakly Nonlinear Analysis","authors":"Shivam, Teekam Singh, Mukesh Kumar, S. Hsieh, K. Singh","doi":"10.1142/s0218348x23500986","DOIUrl":"https://doi.org/10.1142/s0218348x23500986","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43505548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：