Results 11 to 20 of about 97,564 (280)
Piecewise linear differential systems without equilibria produce limit cycles? [PDF]
Nonlinear Dynamics, 2016 Agraïments: The first author is partially supported by a CAPES grant 88881. 030454/2013-01 do Programa CSF-PVE. The second author is partially supported by FAPESP under grant number 2012/18780-0 In this article we study the planar piecewise differential systems formed by two linear differential systems separated by a straight line, such that both ...
Llibre, Jaume, Teixeira, Marco Antonio
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Piecewise linear differential system with a center-saddle type singularity
Journal of Mathematical Analysis and Applications, 2018 The authors prove that for every natural number \(n\) there exists a piecewise linear system of ordinary differential equations on the plane with two zones (separated by an analytic curve) such that the phase portrait contains exactly \(n\) hyperbolic limit cycles. The system is constructed explicitly in the form \(\dot {\mathbf x} = U {\mathbf x} - C\)
Zou, Changwu, Yang, Jiazhong
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Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, modification of Dzhumabaev parameterization method is developed to a boundary value problem for systems of loaded differential equations with piecewise constant argument of generalized type (EPCAG).
E. Bakirova +2 more
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Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems
Differential Equations and Dynamical Systems, 2023 Abstract The phase portraits of the planar linear differential systems are very well known. This is not the case for the phase portraits of the planar continuous piecewise linear differential systems. In this paper we classify the phase portraits of the class of planar continuous piecewise linear differential systems of the form
Jie Li, Jaume Llibre
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The Markus–Yamabe conjecture for continuous and discontinuous piecewise linear differential systems [PDF]
Proceedings of the American Mathematical Society, 2021 In 1960 Markus and Yamabe made the following conjecture: If a C 1 C^1 differential system x ˙ = F ( x ) \dot {\mathbf {x}}=F(\mathbf {x}) in R
Llibre, Jaume, Zhang, Xiang
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The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems [PDF]
Nonlinear Dynamics, 2021 Agraïments: The first author wishes to thank CONACyT for the support on the PhD Scholarship Number 320218. The last author was supported by CONACyT Grant Number 180266. The creation or destruction of a crossing limit cycle when a sliding segment changes its stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we find
Juan Castillo +2 more
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Piecewise linear differential systems with only centers can create limit cycles? [PDF]
Nonlinear Dynamics, 2021 In this article, we study the continuous and discontinuous planar piecewise differential systems formed only by linear centers separated by one or two parallel straight lines. When these piecewise differential systems are continuous, they have no limit cycles.
Llibre, Jaume, Teixeira, Marco Antonio
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Ratio Mathematica, 2023 A linear system of ’n’ second order ordinary differential equations of reaction-diffusion type with discontinuous source terms is considered. On a piecewise uniform Shishkin mesh, a numerical system is built that employs the finite element method.
Vinoth Maruthamuthu +1 more
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Bifurcations in Continuous Piecewise Linear Differential Systems
, 2022 RSME Springer Series, Volume 7. ISSN 2509-8888, ISSN 2509-8896 (electronic) // Copyright 2022 Springer Nature. Sin acceso al documento.
Ponce Núñez, Enrique +2 more
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On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line [PDF]
, 2014 In this paper we study the maximum number $N$ of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line.
Euzébio, Rodrigo D., Llibre, Jaume
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