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Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles [PDF]
Symmetry, 2021 We provide the maximum number of limit cycles for continuous and discontinuous planar piecewise differential systems formed by linear Hamiltonian saddles and separated either by one or two parallel straight lines. We show that when these piecewise differential systems are either continuous or discontinuous and are separated by one straight line, or are
Jaume Llibre, Claudia Valls
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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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On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments [PDF]
Advances in Difference Equations, 2017 This paper provides a method of finding periodical solutions of the second-order neutral delay differential equations with piecewise constant arguments of the form x ″ ( t ) + p x ″ ( t − 1 ) = q x ( 2 [ t + 1 2 ] ) + f ( t ) $x''(t)+px''(t-1)=qx(2[\frac{
Mukhiddin I Muminov
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Piecewise linear differential systems with two real saddles [PDF]
Mathematics and Computers in Simulation, 2021 Agraïments: All authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PCand AUXPE-DGU 15/2010. In this paper we study piecewise linear differential systems formed by two regions separated by a straight line so that each system has a real saddle point in its region of definition.
Joan C. Artés +3 more
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On limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systems [PDF]
Mathematica Bohemica, 2023 We study the continuous and discontinuous planar piecewise differential systems separated by a straight line and formed by an arbitrary linear system and a class of quadratic center.
Aziza Berbache
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Algebraic Limit Cycles in Piecewise Linear Differential Systems [PDF]
International Journal of Bifurcation and Chaos, 2018 This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some one-parameter families with a saddle-node bifurcation of algebraic limit cycles.
Claudio A. Buzzi +2 more
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LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS [PDF]
International Journal of Bifurcation and Chaos, 2011 We study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp. four-dimensional) linear center in ℝn perturbed inside a class of discontinuous piecewise linear differential systems. Our main result shows that at most 1 (resp.
Cardin, Pedro Toniol +2 more
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Two Limit Cycles in Liénard Piecewise Linear Differential Systems [PDF]
Journal of Nonlinear Science, 2018 Altres ajuts: ICREA Academia and FEDER-UNAB10-4E-378 Some techniques for studying the existence of limit cycles for smooth differential systems are extended to continuous piecewise linear differential systems. Rigorous new results are provided on the existence of two limit cycles surrounding the equilibrium point at the origin for systems with three ...
Jaume Llibre +2 more
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Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we study the existence of limit cycles in continuous and discontinuous planar piecewise linear Hamiltonian differential system with two or three zones separated by straight lines and such that the linear systems that define the piecewise ...
Claudio Pessoa, Ronisio Ribeiro
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 Due to their applications to many physical phenomena during these last decades the interest for studying the discontinuous piecewise differential systems has increased strongly.
Rebiha Benterki +2 more
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