Center-focus problem - Open Access .click

Results 121 to 130 of about 2,867,234 (274)

Preferences for post‐traumatic osteoarthritis prevention strategies in individuals with anterior cruciate ligament injury

Arthritis Care &Research, Accepted Article.
Objectives There is growing interest in evaluating new strategies to delay or prevent post‐traumatic osteoarthritis (PTOA) in individuals who have sustained anterior cruciate ligament (ACL) injury. This study sought to determine characteristics of potential treatments that are acceptable to patients with ACL injury.
Kevin Kennedy +9 more
wiley +1 more source

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem

This work presents a comprehensive study of the generalized Duffing oscillator, a fundamental model in nonlinear dynamics described by the system $$ \dot{x} = y, \quad \dot{y} = -αy - εx^m - σx, $$ where $ε\neq 0$ and $m \geq 1$. We focus on the topological classification of phase portraits, the characterization of global centers, and the absence of ...
Rondón, Gabriel, Sadri, Nasrin
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Impact of Positive Lifestyle Behaviors on Direct Health Care Cost Savings for Low Back Pain

Arthritis Care &Research, EarlyView.
Objective This study aimed to investigate the relationship between a previously purpose‐developed lifestyle behavior scale and health care cost savings related to low back pain (LBP). Methods This longitudinal study used data from the Australian Twin Back (AUTBACK) study. LBP and lifestyle behavior measures were collected at baseline. Physical activity
Ye Tian +8 more
wiley +1 more source

Testing a Personalized Approach to Chronic Low Back Pain: A Randomized Controlled Trial in Older Veterans

Arthritis Care &Research, EarlyView.
Objective We aimed to test the efficacy of personalized treatment of older veterans with chronic low back pain (CLBP) delivered by Aging Back Clinics (ABCs) as compared with usual care (UC). Methods Two hundred ninety‐nine veterans aged 65 to 89 with CLBP from three Veterans Affairs (VA) medical centers underwent baseline testing, randomization to ABC ...
Debra K. Weiner +9 more
wiley +1 more source

A Qualitative Analysis of Patient Perspectives and Preferences in Lupus Management to Guide Lupus Guidelines Development

Arthritis Care &Research, EarlyView.
Objective A patient‐centered approach for chronic disease management, including systemic lupus erythematosus (SLE), aligns treatment with patients’ values and preferences, leading to improved outcomes. This paper summarizes how patient experiences, perspectives, and priorities informed the American College of Rheumatology (ACR) 2024 Lupus Nephritis (LN)
Shivani Garg +20 more
wiley +1 more source

Clinical Practice Guideline for Evaluation and Management of Peripheral Nervous System Manifestations in Sjögren's Disease

Arthritis Care &Research, EarlyView.
Objective Sjögren's disease is an autoimmune disorder that can impact multiple organ systems, including the peripheral nervous system (PNS). PNS manifestations, which can exist concurrently, include mononeuropathies, polyneuropathies, and autonomic nervous system neuropathies.
Anahita Deboo +88 more
wiley +1 more source

Cognitive Behavioral Therapy for Youth With Childhood‐Onset Lupus: A Randomized Clinical Trial

Arthritis Care &Research, EarlyView.
Objective Our objective was to determine the feasibility and acceptability of the Treatment and Education Approach for Childhood‐Onset Lupus (TEACH), a six‐session cognitive behavioral intervention addressing depressive, fatigue, and pain symptoms, delivered remotely to individual youth with lupus by a trained interventionist.
Natoshia R. Cunningham +29 more
wiley +1 more source

Associations of Sleep and Shift Work With Osteoarthritis Risk

Arthritis Care &Research, EarlyView.
Objective Daily rhythms may be critical for maintaining homeostasis of joint tissues. We aimed to investigate the relationships among circadian clock disruption, sleep, and osteoarthritis (OA) risk in humans. Methods In the UK Biobank, a prospective 500,000–person cohort, we evaluated associations among sleep duration, sleeplessness/insomnia, and shift
Elizabeth L. Yanik +5 more
wiley +1 more source

Differential Item Functioning on the Patient Health Questionnaire 8 by Disease Subtype, Language, Sex, and Age Among People With Systemic Sclerosis: A Scleroderma Patient‐Centered Intervention Network Cohort Study

Arthritis Care &Research, EarlyView.
Objective Somatic items used in depression assessments can potentially overlap with symptoms related to physical illness, including systemic sclerosis (SSc). No studies have looked at whether somatic depression items may be influenced by diffuse versus limited SSc disease subtypes, which are associated with varying degrees of symptom presentation.
Sophie Hu +110 more
wiley +1 more source

Two lectures on the center-focus problem for the equation $\frac{dy}{dx} + \sum_{i=1}^n a_i(x) y^i = 0, 0\leq x \leq 1$ where $a_i$ are polynomials

, 2018
This is an extended version of two lectures given during the Zagreb Dynamical Systems Workshop, October 22-26, 2018.
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fos: mathematics
dynamical systems math.ds
mathematics - dynamical systems

mathematics
center problem
limit cycle

isochronous center
abel differential equation
holomorphic isochronous center