The topological method for the reconstruction of dynamics from time series [K. Mischaikow et al., ., 82 (1999), pp. 1144-1147] is reshaped to improve its range of applicability, particularly in the presence of sparse data and strong expansion. The improvement is based on a multivalued map representation of the data. However, unlike the previous approach, it is not required that the representation has a continuous selector. Instead of a selector, a recently developed new version of Conley index theory for multivalued maps [B. Batko, ., 16 (2017), pp. 1587-1617; B. Batko and M. Mrozek, ., 15 (2016), pp. 1143-1162] is used in computations. The existence of a continuous, single valued generator of the relevant dynamics is guaranteed in the vicinity of the graph of the multivalued map constructed from data. Some numerical examples based on time series derived from the iteration of Hénon-type maps are presented.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8320677 | PMC |
| http://dx.doi.org/10.1137/19m1254404 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Comparison of hook plates vs. locking plates for Neer type IIB fractures of lateral end clavicle: A systematic review.
Chin J Traumatol
February 2025
Department of Trauma and Orthopaedics, Scunthorpe General Hospital, Scunthorpe, DN15 7BH, United Kingdom.
Purpose: Surgical management of the lateral end of clavicle fractures has been a challenge for orthopedic surgeons considering the high rate of non-union. There has been no right and wrong answer to these types of fractures and many methods discussed in the literature, but the 2 most used bony procedures are hook plate and locking plate with or without the use of supplementary soft tissue procedures. The available evidence, in this case, is scarce with questionable reliability.
View Article and Find Full Text PDFNarrowing of the Racial Disparities Gap in Survival of Patients With Mycosis Fungoides: A Longitudinal Analysis of the SEER Database.
Clin Lymphoma Myeloma Leuk
February 2025
Ohio Health Blood and Marrow Transplant Program, Columbus, OH. Electronic address:
Background: Mycosis fungoides (MF) is the commonest subtype of cutaneous T-cell lymphoma. In the United States, prior studies reported that African Americans (AA) with MF had poor outcomes. Data characterizing differences in racial disparity outcomes over time are limited.
View Article and Find Full Text PDFEffect of brief intense stair climbing on cardiorespiratory fitness and metabolic risk factors in inactive young men with obesity: A randomized controlled trial.
Nutr Metab Cardiovasc Dis
February 2025
Division of Sports Medicine and Science, Graduate School of Physical Education, Kyung Hee University, Yongin, 17104, Republic of Korea; Obesity and Physical Activity Research Laboratory, Kyung Hee University, Yongin, 17104, Republic of Korea. Electronic address:
Background And Aim: We investigated the effects of brief, intense stair climbing on cardiorespiratory fitness (CRF) and cardiometabolic risk factors in young Korean men with obesity.
Methods And Results: Twenty-four healthy men (age: 25.8 ± 2.
Longitudinal analysis of adolescents at high risk of depression: Prediction models.
Appl Nurs Res
April 2025
College of Nursing, Yonsei University, Seoul, South Korea; Mo-Im Kim Nursing Research Institute, College of Nursing, Yonsei University, Seoul, South Korea. Electronic address:
Background: This study aimed to develop a machine-learning-based predictive model to identify adolescents at high risk of depression using longitudinal analysis to determine changes in risk factors over time.
Methods: This longitudinal study used 4 years of data from the Korea Child and Youth Panel Survey (2018-2021). The classification of high-risk depression was the outcome variable, with predictors categorized into general characteristics and personal, family, and school factors.
Factors influencing digital health competence among healthcare professionals: A cross-sectional study.
Appl Nurs Res
April 2025
Department of Nursing, Midwifery and Health, Faculty of Health and Life Sciences, Northumbria University, Newcastle upon Tyne, United Kingdom; Research Unit of Health Science and Technology Faculty of Medicine, University of Oulu, Finland. Electronic address:
Background: Improving healthcare professionals' digital health competence is critical to providing safer care. However, there is still a lack of empirical studies exploring the factors influencing healthcare professionals' digital health competence, even though significant investments have been made to advance digitalisation of healthcare globally.
Aim: This study aimed to identify the key characteristics influencing healthcare professionals' digital health competence.
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!