Results 1 to 10 of about 981 (105)

Center conditions for a simple class of quintic systems [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 11, Page 625-632, 2002., 2001
We obtain center conditions for a $O$-symmetric system of degree 5 for which the origin is a uniformly isochronous singular point. In the revised paper some misprints are corrected in the reference list.Comment: 9 pages, 0 figures, LaTeX 2 ...
Evgenii P. Volokitin   +1 more
core   +7 more sources

Periodic and quasi-periodic solutions of a four-dimensional singular differential system describing the motion of vortices

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we consider a four-dimensional singular differential system that can describe the dynamics of configurations bearing a small number of vortices in atomic Bose-Einstein condensates.
Liang Zaitao, Li Shengjun, Li Xin
doaj   +1 more source

Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics

open access: yesMoroccan 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
doaj   +1 more source

Periodic solutions for a differential inclusion problem involving the p(t)-Laplacian

open access: yesAdvances in Nonlinear Analysis, 2020
In the present paper, we consider the nonlinear periodic systems involving variable exponent driven by p(t)-Laplacian with a locally Lipschitz nonlinearity.
Chen Peng, Tang Xianhua
doaj   +1 more source

Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting

open access: yesOpen Mathematics, 2022
In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin   +3 more
doaj   +1 more source

The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems

open access: yesAdvanced Nonlinear Studies, 2021
In this paper, we investigate the problem of the existence and multiplicity of periodic solutions to the planar Hamiltonian system x′=-λ⁢α⁢(t)⁢f⁢(y)x^{\prime}=-\lambda\alpha(t)f(y), y′=λ⁢β⁢(t)⁢g⁢(x)y^{\prime}=\lambda\beta(t)g(x), where α,β\alpha,\beta ...
López-Gómez Julián   +2 more
doaj   +1 more source

The monotonicity of the apsidal angle using the theory of potential oscillators [PDF]

open access: yes, 2017
In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle.
Rojas, David
core   +2 more sources

Periodic solution of a discrete commensal symbiosis model with Hassell-Varley type functional response

open access: yesNonautonomous Dynamical Systems, 2022
A non-autonomous discrete commensal symbiosis model with Hassell-Varley type functional response is proposed and studied in this paper. Sufficient conditions are obtained for the existence of positive periodic solution of the system.
Chen Shangming, Chong Yanbo, Chen Fengde
doaj   +1 more source

On Chouikha's isochronicity criterion [PDF]

open access: yes, 2012
Recently A.R.Chouikha gave a new characterization of isochronicity of center at the origin for the equation $x"+g(x)=0$, where $g$ is a real smooth function defined in some neighborhood of $0 \in \R$. We describe another proof of his characterization and
Strelcyn, Jean-Marie
core   +2 more sources

Periodic solutions for a class of Duffing differential equations

open access: yesMoroccan Journal of Pure and Applied Analysis, 2019
We provide sufficient conditions for the existence of periodic solutions for the class of Duffing differential ...
Feddaoui Amina   +2 more
doaj   +1 more source

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