Results 21 to 30 of about 97,564 (280)
Mathematics, 2020 In this article existence and uniqueness of the solutions of the initial problem for neutral nonlinear differential system with incommensurate order fractional derivatives in Caputo sense and with piecewise continuous initial function is proved.
Andrey Zahariev, Hristo Kiskinov
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Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields [PDF]
, 2019 In the present study we consider planar piecewise linear vector fields with two zones separated by the straight line $x=0$. Our goal is to study the existence of simultaneous crossing and sliding limit cycles for such a class of vector fields.
Cardoso, Joao L. +3 more
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Slow–fast n-dimensional piecewise linear differential systems
Journal of Differential Equations, 2016 The paper deals with the \(n\)-dimensional singularly perturbed differential slow-fast system \[ \begin{aligned}&\dot {\mathbf u}=\frac{d{\mathbf u}}{dt}=\varepsilon(A{\mathbf u}+{\mathbf a}v+{\mathbf b}),\\ &\dot v=\frac{dv}{dt}=u_1+|v|,\end{aligned} \] where \({\mathbf u}\in\mathbb{R}^{n-1}\) is the slow variable (\(n\geq 2\)), \(v\in\mathbb{R}\) is ...
R. Prohens, A.E. Teruel, C. Vich
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Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System [PDF]
, 2008 The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use numerical techniques to show this existence, even in the case of continuous piecewise linear systems.
Carmona Centeno, Victoriano +2 more
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Journal of Mathematics, 2022 The representation of mathematical models via piecewise differential and integral operators for dynamic systems has this potential to capture cross-over behaviors such as a passage from deterministic to randomness which can be exhibited by different ...
Shahram Rezapour +3 more
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Limit cycles for two classes of control piecewise linear differential systems [PDF]
São Paulo Journal of Mathematical Sciences, 2020 We study the bifurcation of limit cycles from the periodic orbits of $2n$--dimensional linear centers $\dot{x} = A_0 x$ when they are perturbed inside classes of continuous and discontinuous piecewise linear differential systems of control theory of the form $\dot{x} = A_0 x + \varepsilon \big(A x + (x_1) b\big)$, where $ $ is a continuous or ...
Jaume Llibre +2 more
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Quantitative model checking of continuous-time Markov chains against timed automata specifications [PDF]
, 2009 We study the following problem: given a continuous-time Markov chain (CTMC) C, and a linear real-time property provided as a deterministic timed automaton (DTA) A, what is the probability of the set of paths of C that are\ud accepted by A (C satisfies A)?
Chen, Taolue +3 more
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MATEC Web of Conferences, 2018 This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
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Singularly perturbed linear oscillator with piecewise-constant argument
Вестник КазНУ. Серия математика, механика, информатика, 2018 The Cauchy problem for singularly perturbed linear differential equation the second order with piecewise-constant argument is considered in the article.
M. U. Akhmet +3 more
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Phase portraits of continuous piecewise linear Liénard differential systems with three zones [PDF]
Chaos, Solitons & Fractals, 2021 Phase portraits are an invaluable tool in studying differential systems. Most of known results about global phase portraits are related to the smooth differential systems. This paper deals with a class of planar continuous piecewise linear Liénard differential systems with three zones separated by two vertical lines without symmetry.
Li, Shimin, Llibre, Jaume
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