Results 31 to 40 of about 3,187 (232)
A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems
Expositiones Mathematicae, 2021 In the qualitative theory of differential equations in the plane one of the most difficult objects to study is the existence of limit cycles. There are many papers dedicated to this subject. Here we will present a survey mainly dedicated to the algebraic and explicit non-algebraic limit cycles of the polynomial differential systems in R and of the ...
Llibre, Jaume, Zhang, Xiang
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Organic Materials of Tomorrow: Horizons of Artificial Intelligence
Advanced Materials, EarlyView.This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena +3 more
wiley +1 more source
HTR-10GT Dual Bypass Valve Control Features and Decoupling Strategy for Power Regulation
Science and Technology of Nuclear Installations, 2017 HTR-10GT is the development of HTR-10 reactor, which PCU will be a closed Brayton cycle with two-stage compression and heat recuperation. Bypass control method is adopted for rapid power regulation and safety protection.
Xiao Li +3 more
doaj +1 more source
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
О математическом моделировании болезни Паркинсона методами хаотической динамики
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2017 Была предпринята попытка моделирования процесса поведения электрических импульсов в коре головного мозга некоторого пациента с помощью решений 3D системы квадратичных дифференциальных уравнений.
V. Ye. Belozyorov, V. G. Zaytsev
doaj +1 more source
Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source
Piecewise linear differential systems with an algebraic line of separation
Electronic Journal of Differential Equations, 2020 We study the number of limit cycles of planar piecewise linear differential systems separated by a branch of an algebraic curve. We show that for each $n\in\mathbb{N}$ there exist piecewise linear differential systems separated by an algebraic curve ...
Armengol Gasull +2 more
doaj
The 16th Hilbert problem on algebraic limit cycles
Journal of Differential Equations, 2011 16.
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On the 16th Hilbert problem for algebraic limit cycles
Journal of Differential Equations, 2010 For a polynomial planar vector field of degree n ≥ 2 with generic invariant algebraic curves we show that the maximum number of algebraic limit cycles is 1 + (n − 1)(n − 2)/2 when n is even, and (n − 1)(n − 2)/2 when n is odd. Furthermore, these upper bounds are reached.
Llibre Saló, Jaume +2 more
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Uniqueness of limit cycles in polynomial systems with algebraic invariants [PDF]
Bulletin of the Australian Mathematical Society, 1994 The uniqueness of limit cycles is proved for quadratic systems with an invariant parabola and for cubic systems with four real line invariants. Also a new, simple proof is given of the uniqueness of limit cycles occurring in unfoldings of certain vector fields with codimension two singularities.
Zegeling, André, Kooij, Robert E.
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