Discontinuous piecewise differential system

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Limit Cycles of Discontinuous Piecewise Differential Hamiltonian Systems Separated by a Straight Line

Axioms
In this article, we study the maximum number of limit cycles of discontinuous piecewise differential systems, formed by two Hamiltonians systems separated by a straight line. We consider three cases, when both Hamiltonians systems in each side of the discontinuity line have simultaneously degree one, two or three.
Joyce A. Casimiro, Jaume Llibre
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Text Mining in Bibliometrics and Science Mapping: A Methodological Review

WIREs Computational Statistics, Volume 18, Issue 2, June 2026.
Text mining has become a foundational component of contemporary bibliometrics and science mapping, enabling systematic analysis of the semantic structure, thematic evolution, and cognitive organization of scientific fields. Integrating textual evidence with relational indicators enriches knowledge maps and supports more comprehensive, content‐sensitive
Michelangelo Misuraca
wiley +1 more source

A Convolutional Neural Network‐Based Model for Precipitation Nowcasting Leveraging Data From Gauge Stations

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.
Abstract Rainfall nowcasting, the short‐term prediction of precipitation, is a vital component of early warning systems aimed at mitigating the effects of extreme weather events. In this study, we develop a deep learning approach based on convolutional neural networks (CNNs) for rainfall nowcasting and train it exclusively on data from rain gauge ...
Fereshteh Taromideh +4 more
wiley +1 more source

Neural Network‐Based Adaptive Super‐Twisting Control for Perturbed Nonlinear Systems: Lyapunov Design

International Journal of Robust and Nonlinear Control, Volume 36, Issue 8, Page 4717-4728, 25 May 2026.
ABSTRACT A newly developed robust control strategy based on an adaptive neural network (ANN) estimator performed in concert with adaptive super‐twisting (ASTW) control is presented. The proposed adaptive robust control algorithm is applied to a class of perturbed nonlinear systems and features a significantly decreased control gain with respect to the ...
Mohammad Javad Mirzaei +3 more
wiley +1 more source

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 5897-5912, 15 May 2026.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard +2 more
wiley +1 more source

Analysis of a Mathematical Model of Marital Satisfaction

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 6143-6157, 15 May 2026.
ABSTRACT A large number of marriages end in divorce. In this paper, we present a model for the emotional state of a couple based on bilinear ordinary differential equations. We study the effect of changes of each individual's self‐emotional state on the couple's state.
Benito Chen‐Charpentier, C. E. Garza‐Hume, M. C. Jorge +2 more
wiley +1 more source

Limit Cycles in a Class of Planar Discontinuous Piecewise Quadratic Differential Systems with a Non-regular Line of Discontinuity (II)

Mediterranean Journal of Mathematics
In this paper we study the limit cycles which bifurcate from the periodic orbits of the quadratic uniform isochronous center ẋ = -y + xy, ẏ = x + y, when this center is perturbed inside the class of all discontinuous piecewise quadratic polynomial differential systems in the plane with two pieces separated by a non-regular line of discontinuity, which ...
Dongping He, Jaume Llibre
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Two limit cycles for a class of discontinuous piecewise linear differential systems with two pieces

Sibirskie Elektronnye Matematicheskie Izvestiya, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reduced risk of dementia with recombinant zoster vaccine in US adults age 65 or older

Alzheimer's &Dementia, Volume 22, Issue 5, May 2026.
Abstract INTRODUCTION Herpes zoster vaccines may lower the risk of dementia onset. We evaluated new‐onset dementia among US Medicare beneficiaries ≥65 years old following recombinant zoster vaccination (RZV). METHODS We matched one RZV‐exposed to two RZV‐unvaccinated on age, sex, and race/ethnicity. Individuals were ≥65 years old on the RZV dose 2 date
Susan dos Reis +8 more
wiley +1 more source

Impact of Variations in Membership Functions on the Performance of ANFIS for Nonlinear Systems as a Benchmark

Engineering Reports, Volume 8, Issue 5, May 2026.
The graphical abstract illustrates how different membership functions influence the performance of ANFIS when applied to nonlinear system control, demonstrating clear variations in overshoot, settling behavior, and training accuracy across the four MF types.
Daniel Arega Mengesha
wiley +1 more source

limit cycles