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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
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
Quadratic systems with two invariant real straight lines and an invariant parabola
After the linear differential systems in the plane the easiest ones are the quadratic polynomial differential systems. Due to their nonlinearity and also to their many applications these systems have been studied by many authors. Let QS denote the set of
Jaume Llibre, Huaxin Ou
doaj +1 more source
We classify the global phase portraits in the Poincar\'e disc of the differential systems =-y xf(x,y), =x yf(x,y), where f(x,y) is a homogeneous polynomial of degree 3. These systems have a uniform isochronous center at the origin. This paper together with the results presented in IL2 completes the classification of the global phase portraits in the ...
Itikawa, Jackson, Llibre, Jaume
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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
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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
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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
Unlocking Terahertz Steganography: Authentication of Hidden Images in Flexible Media
Hidden information in multilayered devices, such as steganographic portraits, is detected and authenticated using reflection‐mode terahertz time‐domain imaging. Image reconstruction relies on a dedicated figure‐of‐merit obtained by integrating the signal intensity over the time‐window associated with the reflection from the metallic mirror backing the ...
Tiziana Ritacco +4 more
wiley +1 more source

