Results 71 to 80 of about 1,108 (132)

DYNAMICAL BEHAVIORS OF TRAVELING WAVE SOLUTIONS OF A GENERALIZED K(N, 2N, -N) EQUATIONS

open access: yes, 2018
In this paper, the analytical and numerical evaluation of a generalized K(n, 2n, -n) equation is studied by the qualitative theory of bifurcations method.
T. Leta, Li Jibin
semanticscholar   +1 more source

Almost periodic solutions of a commensalism system with Michaelis-Menten type harvesting on time scales

open access: yesOpen Mathematics, 2019
In this paper, we consider an almost periodic commensal symbiosis model with nonlinear harvesting on time scales. We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. Our
Xue Yalong, Xie Xiangdong, Lin Qifa
doaj   +1 more source

Existence and global attractivity of positive periodic solutions for a Holling II two-prey one-predator system

open access: yesAdvances in Differential Equations, 2012
In this paper, a Holling II two-pery one-predator system is investigated. Based on the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov function, we derive a set of sufficient conditions that guarantee the ...
Changjin Xu, Peiluan Li, Yuanfu Shao
semanticscholar   +1 more source

On the period function of Newtonian systems [PDF]

open access: yes, 2013
We study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x=y,\qquad \dot y = -h(x) - g(x)y - f(x)y^2.$$ We are interested in the period function $T$ around a center 0. A sufficient condition for the isochronicity of (
Chouikha, A. Raouf, Timoumi, Mohsen
core   +1 more source

Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

open access: yes, 2011
Using the Mellin transform approach, it is shown that, in contrast with integer-order derivatives, the fractional-order derivative of a periodic function cannot be a function with the same period.
Kaslik, Eva, Sivasundaram, Seenith
core   +1 more source

Subharmonic solutions of first-order Hamiltonian systems

open access: yesAdvances in Nonlinear Analysis
The aim of this article is to study subharmonic solutions of superquadratic and asymptotically (constant) linear nonautonomous Hamiltonian systems in R2n{{\mathbb{R}}}^{2n} respectively, and to improve the results in Professor Liu’s [Subharmonic ...
Zhou Yuting
doaj   +1 more source

Hopf bifurcations in a three-species food chain system with multiple delays

open access: yesOpen Mathematics, 2017
This paper is concerned with a three-species Lotka-Volterra food chain system with multiple delays. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the stability of the positive equilibrium and ...
Xie Xiaoliang, Zhang Wen
doaj   +1 more source

Limit cycles of Liénard polynomial systems type by averaging method

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
We apply the averaging theory of first and second order for studying the limit cycles of generalized polynomial Linard systems of the ...
Boulfoul Amel, Mellahi Nawal
doaj   +1 more source

Existence and multiplicity results for non-autonomous second-order Hamiltonian systems

open access: yesAdvances in Nonlinear Analysis
In this article, using the least action principle and minimax methods in critical point theory, some existence and multiplicity results for periodic solutions of second-order Hamiltonian systems are obtained.
Liu Chungen, Zhong Yuyou
doaj   +1 more source

On the limit cycles for a class of eighth-order differential equations

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this article, we provide sufficient conditions for the existence of periodic solutions of the eighth-order differential equation x(8)-(1+p2+λ2+μ2)x(6)+Ax⃜+Bx¨+p2λ2μ2x=ɛF(t,x,x˙,x¨,x⃛,x⃜,x(5),x(6)x(7)),{x^{\left( 8 \right)}} - \left( {1 + {p^2 ...
Berrehail Chems Eddine   +2 more
doaj   +1 more source

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