Abdelhak Berkane

Constantine 1 University | UMC · Department of Mathematics

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 of first and second order, we estimate the maximum number of limit cycles that this class of systems can exhibit.

In this paper, we consider a very important problem from the point of view of application in sciences and engineering. A system of three wave equations having a different damping effects in an unbounded domain with strong external forces. Using the Faedo-Galerkin method and some energy estimates, we will prove the existence of global solution in R...

In this work, we study the dynamics of a fractional-order Selkov model, which is a classical mathematical model describing glycolysis, and its corresponding discretized version. First, non-negativity, existence and uniqueness of the solution for the model are discussed. We also investigate the local stability and the existence of a Hopf bifurcation...

This present paper investigates essentially combination synchronization of different dimensions fractional-order non-autonomous chaotic systems using a scaling matrix. Combination synchronization of fractional-order autonomous chaotic systems has previously been considered, but for the non-autonomous chaotic systems, it’s the primary of its kind. B...

In this paper, a zero-truncated Poisson quasi-Lindley distribution (ZTPQLD) has been obtained by compounding size-biased Poisson (SBPD) distribution with a continuous distribution. A general expression for its rth factorial moment about origin has been derived and hence its raw moments and central moments are obtained. The expressions for its coeff...

In this paper, we investigate an IBVP for a class of nonlinear parabolic equations. A new topological approach is applied to prove existence of non-negative classical solutions. The arguments are based upon a recent theoretical result.