In this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincaré disc. In particular, we prove that this phase portrait has 15 separatrices, five of them singular points, and 7 canonical regions, six of them of type strip and one annular.
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http://dx.doi.org/10.1590/0001-3765201820170829 | DOI Listing |
ACS Nano
January 2025
Department of Chemistry, University of Minnesota, Minneapolis, Minnesota 55455, United States.
Gut
November 2024
State Key Laboratory of Oncology in South China, Collaborative Innovation Center for Cancer Medicine, Guangdong Provincial Clinical Research Center for Cancer, Sun Yat-sen University Cancer Center, Guangzhou, Guangdong, China
Background: Peritoneal metastasis is the most common metastasis pattern of gastric cancer. Patients with gastric cancer peritoneal metastasis (GCPM) have a poor prognosis and respond poorly to conventional treatments. Recently, immune checkpoint blockade (ICB) has demonstrated favourable efficacy in the treatment of GCPM.
View Article and Find Full Text PDFJ Eval Clin Pract
November 2024
Department of Family Medicine, Faculty of Medicine and Health Sciences, McGill University, Montreal, Quebec, Canada.
Rationale: Awareness of their standing relative to best practices motivates primary healthcare (PHC) teams to improve their practices. However, gathering the data necessary to create such a portrait is a challenge. An effective way to support the improvement of the practices of PHC teams is to simplify the availability of data portraying aspects of their practices that might need improvement.
View Article and Find Full Text PDFChaos
October 2024
Tri-Institutional Center for Translational Research in Neuroimaging and Data Science (TReNDS), Georgia State University, Georgia Institute of Technology, and Emory University, Atlanta, Georgia 30303, USA.
Sci Rep
September 2024
Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan.
The main purpose of this article is to analyze the bifurcation, chaotic behaviors, and solitary wave solutions of the fractional Twin-Core couplers with Kerr law non-linearity by using the planar dynamical system method. This equation has profound physical significance and application value in the areas of optics and optical communication. Firstly, the traveling wave transformation is applied to convert the beta-derivative Twin-Core couplers with Kerr law non-linearity into the ordinary differential equations.
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