Results 11 to 20 of about 24,896 (183)
Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals [PDF]
São Paulo Journal of Mathematical Sciences, 2017 Agraïments: The first author is partially supported by FEDER-UNAB-10-4E-378 and a CAPES grant 88881. 030454/2013-01 do Programa CSF-PVE.
Jaume Llibre, Marco Antonio Teixeira
exaly +7 more sources
LIMIT CYCLES OF THE DISCONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS ON THE CYLINDER
Journal of Applied Analysis & Computation, 2022 In order to understand the dynamics of the differential systems the limit cycles play a main role, but in general their study is not easy. These last years an increasing interest appeared for studying the limit cycles of some classes of discontinuous piecewise differential systems, due to the rich applications of this kind of differential systems. Very
Li, Jie, Llibre, Jaume
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The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems [PDF]
Nonlinear Dynamics, 2017 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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Limit cycles of piecewise polynomial differential systems with the discontinuity line xy = 0
Communications on Pure & Applied Analysis, 2021 In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of the center x. = -y((x + y)/2), y. = x((x + y)/2) with m ≥ 0 under discontinuous piecewise polynomial (resp. polynomial Hamiltonian) perturbations of degree n with the discontinuity set {(x, y) ∈ R : xy = 0}. Using the averaging theory up to any order N, we
Li, Tao, Llibre, Jaume
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Moroccan Journal of Pure and Applied Analysis, 2021 The main goal of this paper is to provide the maximum number of crossing limit cycles of two different families of discontinuous piecewise linear differential systems.
Damene Loubna, Benterki Rebiha
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Centers of discontinuous piecewise smooth quasi–homogeneous polynomial differential systems
Discrete & Continuous Dynamical Systems - B, 2019 In this paper we investigate the center problem for the discontinuous piecewise smooth quasi-homogeneous but non-homogeneous polynomial differential systems. First, we provide sufficient and necessary conditions for the existence of a center in the discontinuous piecewise smooth quasi-homogeneous polynomial differential systems. Moreover, these centers
Chen, Hebai, Llibre, Jaume, Tang, Yilei
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Unpredictable Solutions of Linear Impulsive Systems
Mathematics, 2020 We consider a new type of oscillations of discontinuous unpredictable solutions for linear impulsive nonhomogeneous systems. The models under investigation are with unpredictable perturbations.
Marat Akhmet +3 more
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Dynamical Systems, 2022 These last years an increasing interest appeared for studying the planar discontinuous piecewise differential systems motivated by the rich applications in modelling real phenomena. One of the difficulties for understanding the dynamics of these systems is the study their limit cycles.
Claudio A. Buzzi +2 more
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Robust Unidirectional Airflow through Avian Lungs: New Insights from a Piecewise Linear Mathematical Model. [PDF]
PLoS Computational Biology, 2016 Avian lungs are remarkably different from mammalian lungs in that air flows unidirectionally through rigid tubes in which gas exchange occurs. Experimental observations have been able to determine the pattern of gas flow in the respiratory system, but ...
Emily P Harvey, Alona Ben-Tal
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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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