Results 41 to 50 of about 8,933,474 (280)
Any singular irreducible cubic curve (or simply, cubic) after an affine transformation can be written as either [Formula: see text], or [Formula: see text], or [Formula: see text]. We classify the phase portraits of all quadratic polynomial differential systems having the invariant cubic [Formula: see text]. We prove that there are [Formula: see text]
Pantazi, Chara, Llibre Saló, Jaume
openaire +5 more sources
Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System
This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits.
Yanqin Xiong, Maoan Han
doaj +1 more source
High‐risk bladder cancer is typically treated with Bacillus Calmette‐Guérin (BCG), but 30–40% of patients relapse. No FDA‐ or CE‐approved biomarkers currently predict or prognosticate BCG failure. We systematically reviewed the literature and identified 72 eligible studies, revealing several promising biomarkers associated with BCG treatment response ...
Rui Ribeiro‐Pereira +7 more
wiley +1 more source
We provide normal forms and the global phase portraits in the Poincaré disk for all Abel quadratic polynomial differential equations of the second kind with Z₂ ...
Valls, Clàudia, Llibre, Jaume
core
ABSTRACT Objective Building on our prior Behavioral Risk Factor Surveillance System analysis identifying adults aged 18–39 as the primary driver of the national increase in self‐reported cognitive disability, we examined factors associated with this rise using 2013–2024 U.S. BRFSS data. Methods We analyzed U.S.
Adam de Havenon +9 more
wiley +1 more source
Global Phase Portrait and Bifurcation Diagram for a Multi-Parametric Linear System
The goal of this article is to conduct a global dynamics study of a linear multiparameter system (real parameters (a,b,c) in R^3); for this, we take the different changes that these parameters present. First, we find the different parametric surfaces in which the space is divided, where the stability of the critical point is defined; we then create a ...
Jorge Rodríguez Contreras +2 more
openaire +2 more sources
Patients improve, patterns persist: longitudinal stability of RA joint involvement patterns
Objective Rheumatoid arthritis is a heterogeneous disease. Data‐driven approaches, from synovial histology to joint involvement patterns (JIPs), have sought to define clinically meaningful subgroups. Whether these subgroups represent stable phenotypes or transient disease states remains unclear.
Tjardo Maarseveen +24 more
wiley +1 more source
Classification of Global Phase Portraits for the Brusselator System
Abstract We provide a global analysis of the classical Brusselator system, classifying all possible configurations of equilibria, limit cycles, and nullclines. We study the infinite dynamics through the Poincaré compactification, analyze the bifurcation diagram for the finite local dynamics and draw the global phase portraits in the ...
Tiago M. P. de Abreu, Jaume Llibre
openaire +1 more source
Agraïments: The first author is is supported by a Ciência sem Fronteiras-CNPq grant number 201002/ 2012-4. A CAPES grant number 88881.030454/2013-01 from the program CSF-PVEWe classify the global phase portraits in the Poincar\'e disc of the differential
Itikawa, Jackson, Llibre, Jaume
core
Efficient recovery from traumatic or degenerative diseases is a great challenge, even after all the advancements in bone and cartilage regeneration. Machine learning (ML) algorithms have presented opportunities to enhance these aspects by accurately analyzing imaging data.
Maryam Kamaei +9 more
wiley +1 more source

