Results 21 to 30 of about 3,260 (131)
A family of planar differential systems with hyperbolic algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than $n+1$, by presenting polynomial curves of degree $n,$ which generally contain closed components.
Maroua Ghelmi, Aziza Berbache
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Energies, 2018 This paper proposes a fast and accurate time domain (TD) methodology for the assessment of the dynamic and periodic steady state operation of microgrids with photovoltaic (PV) energy sources.
Marcolino Díaz-Araujo +3 more
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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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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
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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
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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
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International Journal of Aerospace Engineering, 2015 A sliding mode control- (SMC-) based limit cycle oscillation (LCO) regulation method is presented, which achieves asymptotic LCO suppression for UAVs using synthetic jet actuators (SJAs).
N. Ramos-Pedroza +2 more
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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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