Results 31 to 40 of about 532 (70)

Global structure of positive and sign-changing periodic solutions for the equations with Minkowski-curvature operator

open access: yesAdvanced Nonlinear Studies
We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
doaj   +1 more source

Chaos and bifurcation in the controlled chaotic system

open access: yesOpen Mathematics, 2018
In this paper, chaos and bifurcation are explored for the controlled chaotic system, which is put forward based on the hybrid strategy in an unusual chaotic system.
Liu Yongjian   +2 more
doaj   +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

The spin-orbit resonances of the Solar system: A mathematical treatment matching physical data

open access: yes, 2013
In the mathematical framework of a restricted, slightly dissipative spin-orbit model, we prove the existence of periodic orbits for astronomical parameter values corresponding to all satellites of the Solar system observed in exact spin-orbit ...
Antognini, Francesco   +2 more
core   +1 more source

A model of competing species that exhibits zip bifurcation

open access: yesRevista Integración, 2017
The purpose of this paper is to present a concrete model of competing population species that exhibits a phenomenon called zip bifurcation. The Zip Bifurcation was introduced by Farkas in 1984 for a three dimensional ODE prey-predator system describing a
Luis F. Echeverri   +2 more
doaj   +1 more source

Global bifurcation of homoclinic solutions of hamiltonian systems

open access: yes, 2002
We provide global bifurcation results for a class of nonlinear hamiltonian systemsComment: 25 ...
Secchi, S., Stuart, C. A.
core   +1 more source

Bifurcation analysis of a nonlinear diffusion model: Effect of evaluation period for the diffusion of a technology

open access: yesArab Journal of Mathematical Sciences, 2019
A nonlinear modified form of Bass model involving the interactions of non-adopter and adopter populations has been proposed to describe the process of diffusion of a new technology in the presence of evaluation period (time delay).
Rakesh Kumar   +2 more
doaj   +1 more source

Hopf bifurcation at infinity and dissipative vector fields of the plane

open access: yes, 2016
We describe some families of differentiable vector fields with the Hopf bifurcation at infinity, without assuming the continuous differentiability. These vector fields have isolated singular points on the plane, and the initial families are obtained by ...
Alarcón, Begoña, Rabanal, Roland
core   +1 more source

Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems

open access: yesOpen Mathematics
Consider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
doaj   +1 more source

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