Nonstandard finite difference schemes for general linear delay differential systems
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7002
Abstract: This paper deals with the construction of non‐standard finite difference methods for coupled linear delay differential systems in the general case of non‐commuting matrix coefficients. Based on an expression for the exact solution of the… read more here.
Keywords: finite difference; delay differential; linear delay; differential systems ... See more keywords
Limit cycles of a class of planar polynomial differential systems
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7645
Abstract: In this paper, we study the maximum number of limit cycles that can bifurcate from a linear center, when perturbed inside a class of planar polynomial differential systems of arbitrary degree n. Using averaging theory… read more here.
Keywords: class; class planar; planar polynomial; polynomial differential ... See more keywords
Stability criteria of random delay differential systems subject to random impulses
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5632
Abstract: This article investigates the stability of random impulsive delay differential systems with the kind of random impulsive intensity determined by an arbitrary random sequence or an irreducible aperiodic Markov chain. Moreover, the continuous dynamics are… read more here.
Keywords: delay differential; stability criteria; differential systems; stability ... See more keywords
New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-019-09432-x
Abstract: The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a new family of centers of… read more here.
Keywords: differential systems; polynomial differential; systems arbitrary; family centers ... See more keywords
Limit cycles for a class of discontinuous piecewise generalized Kukles differential systems
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4319-6
Abstract: The present paper is devoted to study an estimative to the number of limit cycles which bifurcate from the periodic orbits of the linear center $$\dot{x}=y, \dot{y}=-x$$x˙=y,y˙=-x by the averaging method of first order when… read more here.
Keywords: class discontinuous; differential systems; limit cycles; kukles differential ... See more keywords
On impulsive coupled hybrid fractional differential systems in Banach algebras
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-019-01280-z
Abstract: In this paper, we will investigate a class of impulsive coupled hybrid fractional differential system which is the first time to be studied. We will establish a new fixed point theorem in Banach algebra to… read more here.
Keywords: impulsive coupled; differential systems; systems banach; hybrid fractional ... See more keywords
Affine-Periodic Solutions for Impulsive Differential Systems
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-019-00337-5
Abstract: The affine-periodicity is a new periodic concept which has been founded in recent years. In this paper, we will discuss the existence of affine-periodic solutions for impulsive differential systems. Several existence theorems are proved for… read more here.
Keywords: impulsive differential; periodic solutions; differential systems; systems affine ... See more keywords
Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems
Sign Up to like & getrecommendations! Published in 2021 at "Expositiones Mathematicae"
DOI: 10.1016/j.exmath.2021.01.003
Abstract: Abstract Although planar quadratic differential systems and their applications have been studied in more than one thousand papers, we still have no complete understanding of these systems. In this paper we have two objectives. First… read more here.
Keywords: differential systems; separable quadratic; quadratic systems; bibliographical survey ... See more keywords
Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.07.016
Abstract: In the present paper, we study the number of zeros of the first order Melnikov function for piecewise smooth polynomial differential system, to estimate the number of limit cycles bifurcated from the period annulus of… read more here.
Keywords: first order; isochronous centers; polynomial differential; differential systems ... See more keywords
On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.07.022
Abstract: Abstract Using the Euler-Jacobi formula there is a relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with… read more here.
Keywords: differential systems; polynomial differential; topological indices; configurations singular ... See more keywords
Regularization of saddle-fold singularity for nonsmooth differential systems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.02.003
Abstract: Abstract This paper is concerned with the saddle-fold singularity that is a codimension two singularity for piecewise smooth planar differential systems. The approach consists in apply the Regularization's Method to the unfolding of the saddle-fold… read more here.
Keywords: differential systems; regularization saddle; singularity nonsmooth; singularity ... See more keywords