Results 21 to 30 of about 173,676 (290)

Multiple limit point bifurcation

Journal of Mathematical Analysis and Applications, 1980
In this paper we present a new bifurcation or branching phenomenon which we call multiple limit point bifurcation. It is of course well known that bifurcation points of some nonlinear functional equation G(u, λ) = 0 are solutions (u_0, λ_0) at which two distinct smooth branches of solutions, say [u(e), λ(e)] and [u^(e), λ^(e)], intersect ...
Decker, Dwight W., Keller, Herbert B.
openaire   +2 more sources

Bifurcation Analysis in a Discrete-Time Prey-Predator System With Crowly- Martin Functional Response

Tikrit Journal of Pure Science, 2023
In this paper, a discrete time prey-predator system with Crowly- Martin functional response was studied. The fixed points of the model are obtained, and their stability is analyzed. Further existence of bifurcation analysis at each fixed points and Hopf
Jaza Omer Muhammed, Kawa Ahmed Hassan  
doaj   +1 more source

Trans-heteroclinic bifurcation: a novel type of catastrophic shift [PDF]

Royal Society Open Science, 2018
Global and local bifurcations are extremely important since they govern the transitions between different qualitative regimes in dynamical systems. These transitions or tipping points, which are ubiquitous in nature, can be smooth or catastrophic. Smooth
Josep Sardanyés, Regina Martínez, Carles Simó   +2 more
doaj   +1 more source

On the Solution of Hammerstein Integral Equations with Loads and Bifurcation Parameters

Известия Иркутского государственного университета: Серия "Математика", 2023
The Hammerstein integral equation with loads on the desired solution is considered. The equation contains a parameter for any value of which the equation has a trivial solution. Necessary and sufficient conditions are obtained for the coefficients of the
N.A. Sidorov, L.R.D. Dreglea Sidorov
doaj   +1 more source

Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting

Journal of Inequalities and Applications, 2021
A prey–predator model with constant-effort harvesting on the prey and predators is investigated in this paper. First, we discuss the number and type of the equilibria by analyzing the equations of equilibria and the distribution of eigenvalues.
Lifang Cheng, Litao Zhang
doaj   +1 more source

Hegemony and Bifurcation Points in World History

Journal of World-Systems Research, 1995
Examination of the rise and fall of hegemons over the last 500 years reveals that each lasts about 100 years, with another 100 year period between hegemons that is characterized by rough balance among shifting powers frequent major wars.
Terry Boswell
doaj   +1 more source

Bifurcation analysis of the thresholds of parametric generation of terahertz waves in nonlinear multilayer graphene nanostructures

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The purpose of this work is to develop a method for mathematical modeling of nonlinear effects (parametric generation, parametric excitation of waves, and instabilities) arising from the interaction of electromagnetic waves with strongly ...
Galina S. Makeeva
doaj   +1 more source

Hopf bifurcation from a turning point. [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 1985
The classical Hopf bifurcation theorem proves the bifurcation of periodic solutions from a branch of steady states for ODE's (or some types of parabolic PDE's) depending on one real parameter if (i) this branch can be parameterized over this parameter set and (ii) if the dimension of the unstable manifold of the steady states changes at a certain ...
openaire   +2 more sources

On Locating and Counting Satellite Components Born along the Stability Circle in the Parameter Space for a Family of Jarratt-Like Iterative Methods

Mathematics, 2019
This paper is devoted to an analysis on locating and counting satellite components born along the stability circle in the parameter space for a family of Jarratt-like iterative methods.
Young Hee Geum, Young Ik Kim
doaj   +1 more source

On the Relationship between Equilibrium Bifurcations and Ideal MHD Instabilities for Line-Tied Coronal Loops [PDF]

, 2009
For axisymmetric models for coronal loops the relationship between the bifurcation points of magnetohydrodynamic (MHD) equilibrium sequences and the points of linear ideal MHD instability is investigated imposing line-tied boundary conditions.
Neukirch, Thomas, Romeou, Zaharenia
core   +2 more sources