Results 21 to 30 of about 107,223 (187)

Phase Portraits of the Leslie-Gower System

open access: yesActa Mathematica Scientia, 2022
In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i.e., in the compactification of R adding the circle S of the infinity) modulo topological equivalence. It is well-known that the equilibrium point of the Leslie-Gower
Llibre, Jaume, Valls, Claudia
openaire   +2 more sources

The holomorphic flow of the Riemann zeta function [PDF]

open access: yes, 2003
The flow of the Riemann zeta function, ś = ς(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line.
Barnett, A. Ross, Broughan, Kevin A.
core   +2 more sources

Quadratic vector fields with a weak focus of third order [PDF]

open access: yes, 1997
We study phase portraits of quadratic vector fields with a weak focus of third order at the origin. We show numerically the existence of at least 20 different global phase portraits for such vector fields coming from exactly 16 different local phase ...
Artés, Joan Carles, Llibre, Jaume
core   +3 more sources

Superinflation, quintessence, and nonsingular cosmologies [PDF]

open access: yes, 2000
The dynamics of a universe dominated by a self-interacting nonminimally coupled scalar field are considered. The structure of the phase space and complete phase portraits are given.
A. Figueiredo   +28 more
core   +2 more sources

Bifurcation, chaotic pattern and optical soliton solutions of generalized nonlinear Schrödinger equation

open access: yesResults in Physics, 2023
This article studies the generalized nonlinear Schrödinger equation, which is used to simulate the propagation model of optical pulses in Non-Kerr medium.
Kun Zhang, Zhao Li
doaj   +1 more source

Bifurcations of phase portraits of pendulum with vibrating suspension point [PDF]

open access: yes, 2016
We consider a simple pendulum whose suspension point undergoes fast vibrations in the plane of motion of the pendulum. The averaged over the fast vibrations system is a Hamiltonian system with one degree of freedom depending on two parameters.
Neishtadt, Anatoly, Sheng, Kaicheng
core   +2 more sources

Bifurcations of Phase Portraits, Exact Solutions and Conservation Laws of the Generalized Gerdjikov–Ivanov Model

open access: yesMathematics, 2023
This article explores the generalized Gerdjikov–Ivanov equation describing the propagation of pulses in optical fiber. The equation studied has a variety of applications, for instance, in photonic crystal fibers.
Nikolay A. Kudryashov   +2 more
doaj   +1 more source

Relativistic effects in the chaotic Sitnikov problem [PDF]

open access: yes, 2011
We investigate the phase space structure of the relativistic Sitnikov problem in the first post-Newtonian approximation. The phase space portraits show a strong dependence on the gravitational radius which describes the strength of the relativistic ...
Alfaro   +35 more
core   +2 more sources

Phase Portraits and Bounded and Singular Traveling Wave Solution of Stochastic Nonlinear Biswas–Arshed Equation

open access: yesDiscrete Dynamics in Nature and Society, 2022
The main purpose of the current paper is to study the phase portraits and bounded and singular traveling wave solution of the stochastic nonlinear Biswas–Arshed equation by using the “three-step method” of Professor Li’s method together with the phase ...
Yong Tang, Wei Zeng, Zhao Li
doaj   +1 more source

Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation

open access: yesFractal and Fractional, 2023
In this paper, a rational difference equation with positive parameters and non-negative conditions is used to determine the presence and direction of the Neimark–Sacker bifurcation.
Abdul Khaliq   +6 more
doaj   +1 more source

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