Unidirectionally coupled systems (x,y) --> (f(x),g(x,y)) occur naturally, and are used as tractable models of networks with complex interactions. We analyze the structure and bifurcations of attractors in the case the driving system is not invertible, and the response system is dissipative. We discuss both cases in which the driving system is a map, and a strongly dissipative flow. Although this problem was originally motivated by examples of nonlinear synchrony, we show that the ideas presented can be used more generally to study the structure of attractors, and examine interactions between coupled systems.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1063/1.1667632 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Investigation of the effect of solvation on J(Metal-P) spin-spin coupling.
Phys Chem Chem Phys
January 2025
Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84536 Bratislava, Slovakia.
The solvent effect on the indirect J(M-P) spin-spin coupling constant in phosphine selenoether -substituted acenaphthene complexes LMCl is studied at the PP86 level of nonrelativistic and four-component relativistic density functional theory. Depending on the metal, the solvent effect can amount to as much as 50% or more of the total -value. This explains the previously found disagreement between the J(Hg-P) coupling in LHgCl, observed experimentally and calculated without considering solvent effects.
View Article and Find Full Text PDFDemographic and clinical characteristics of older people with multimorbidity accessing primary healthcare in Malawi: A cross-sectional study.
J Multimorb Comorb
January 2025
Department of Health Systems and Policy, Kamuzu University of Health Sciences, Blantyre, Malawi.
Background: Multimorbidity is a growing global concern, affecting patient outcomes and healthcare costs. In low- and middle-income countries, data on multimorbidity in primary care beyond prevalence is limited. Our study explored the demographic and clinical characteristics of multimorbidity among older people attending primary health care in Malawi.
View Article and Find Full Text PDFResponse mechanism of water status and photosynthetic characteristics of under drought stress and rehydrated conditions.
Front Plant Sci
January 2025
College of Forestry, Fujian Agriculture and Forestry University, Fuzhou, Fujian, China.
Introduction: Plant physiology response and adaptation to drought stress has become a hotspot in plant ecology and evolution. possesses high ecological, ornamental and economic benefits. It has large root system and tolerance to cold, drought and poor soil.
View Article and Find Full Text PDFObjectives: To understand whether bladder outflow obstruction influences the association between traditional clinical predictive factors, particularly prostate-specific antigen (PSA) density and clinically significant prostate cancer (csPCa). This will help facilitate effective and evidence-based triaging of patients in rapid-access clinics.
Materials And Methods: We retrospectively analysed prospectively collected data from 307 suspected prostate cancer patients who underwent diagnostic biopsy from 2019 to 2023 at a single, high-volume, specialist cancer centre.
Application of Geographic Information System and Google Earth Engine for Spatial Analysis of Land Use by the Legacy Dumpsite at Raipur, Chhattisgarh: A Time Series Analysis.
Indian J Occup Environ Med
December 2024
Department of Community and Family Medicine, All India Institute of Medical Sciences Raipur, Chhattisgarh, India.
Background: Legacy dump sites pose health and environmental risks. Challenges such as difficulty in monitoring and the impact of policy changes towards remediation efforts remain enigmatic due to complexities.
Objectives: Hence this study aimed to use Geographic Information System (GIS) and Google Earth historical imagery to monitor changes in legacy dump site located at Sarona in Raipur and to assess the impact of waste management strategies being implemented currently.
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!