Results 21 to 30 of about 5,207 (226)

Hopf Bifurcations in a Mathematical Model for Economic Growth, Corruption, and Unemployment: Computation of Economic Limit Cycles

Axioms
In this paper, we investigate the existence of Hopf bifurcations in a mathematical model that includes economic growth, corruption, and unemployment. The model links these social and economic factors to provide insights into the dynamics of the economy ...
Ogochukwu Ifeacho, Gilberto González-Parra   +1 more
doaj   +1 more source

Studies on the Existence of Unstable Oscillatory Patterns Bifurcating from Hopf Bifurcations in a Turing Model

Journal of Applied Mathematics, 2014
We revisit a homogeneous reaction-diffusion Turing model subject to the Neumann boundary conditions in the one-dimensional spatial domain. With the help of the Hopf bifurcation theory applicable to the reaction-diffusion equations, we are capable of ...
Yan Zhang, Zhenhua Bao
doaj   +1 more source

Dynamics of adding variable prey refuge and an Allee effect to a predator–prey model

Alexandria Engineering Journal, 2022
Prey refuge from predators can play an important role in stabilising an ecological system by reducing interactions between species, while Allee effects can arise from a range of biological phenomena, such as anti-predator vigilance, genetic trends and ...
Hafizul Molla, Sahabuddin Sarwardi, Stacey R. Smith?, Mainul Haque   +3 more
doaj   +1 more source

Bifurcations of piecewise smooth flows:perspectives, methodologies and open problems

, 2012
In this paper the theory of bifurcations in piecewise smooth flows is critically surveyed. The focus is on results that hold in arbitrarily (but finitely) many dimensions, highlighting significant areas where a detailed understanding is presently lacking ...
A. Colombo, M. R. Jeffrey, DI BERNARDO, MARIO, S. J. Hogan, Hogan, S. J., M. di Bernardo, Colombo, Alessandro, Jeffrey, MR, S.J. Hogan, M.R. Jeffrey, di Bernardo, M   +10 more
core   +1 more source

Stability and Hopf Bifurcation Analysis on a Bazykin Model with Delay

Abstract and Applied Analysis, 2014
The dynamics of a prey-predator system with a finite delay is investigated. We show that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases.
Jianming Zhang, Lijun Zhang, Chaudry Masood Khalique   +2 more
doaj   +1 more source

Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation

, 2006
The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE, Krauskopf, B., Oldeman, B.E., Krauskopf, B   +3 more
core   +1 more source

Global Hopf Bifurcation Analysis for a Time-Delayed Model of Asset Prices

Discrete Dynamics in Nature and Society, 2010
A time-delayed model of speculative asset markets is investigated to discuss the effect of time delay and market fraction of the fundamentalists on the dynamics of asset prices.
Ying Qu, Junjie Wei
doaj   +1 more source

Hamiltonian Hopf Bifurcation with Symmetry [PDF]

Archive for Rational Mechanics and Analysis, 2002
35 pages, 3 ...
Chossat, Pascal, Ortega, Juan-Pablo, Ratiu, Tudor S.   +2 more
openaire   +3 more sources

Hamiltonian Hopf bifurcations in Gaudin models [PDF]

We show that su ( 2 ) rational and trigonometric Gaudin models, or in other words, generalised coupled angular momenta systems, have singularities that undergo Hamiltonian Hopf bifurcations.
Våge Henriksen, Tobias
core   +3 more sources

Impact of Delayed Decaying Corruption Effects on a Socioeconomic System with Economic Growth and Unemployment

Mathematics
This paper is devoted to the study of the dynamical behaviors of a socioeconomic mathematical model with a discrete time delay. The model includes economic growth, corruption, and unemployment, which are some of the main factors driving the economy of a ...
Ogochukwu Ifeacho, Gilberto González-Parra   +1 more
doaj   +1 more source