Search
Search Results
-
Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems
This chapter is devoted to bifurcations of equilibria in generic two-parameter systems of differential equations. First, we make a complete list of...
-
Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems
This chapter is devoted to the study of generic bifurcations of fixed points of two-parameter maps. First we derive a list of such bifurcations. As...
-
Local and Global Bifurcations in a Mechanochemical ODE Model for Cell Behavior
We study the dynamics of a two-variable mechanochemical model for GTPase signaling and cell tension using numerical bifurcation analysis, providing...
-
-
Langford Model: Dynamics, Bifurcations, Attractors
AbstractThe systems suggested by E. Hopf and W. Langford to describe occurrence of turbulence in a liquid are one of more interesting examples in the...
-
Strong resonance bifurcations for a discrete-time prey–predator model
The aim of this paper is to introduce a two-dimensional discrete-time prey–predator, identify its fixed points, as well as investigate one- and...
-
Numerical Analysis of Bifurcations
In this chapter, we shall describe some of the basic techniques used in the numerical analysis of dynamical systems. We assume that low-level...
-
Multiple Bifurcations in a Discrete Bazykin Predator–Prey Model with Predator Intraspecific Interactions and Ratio-Dependent Functional Response
A discrete Bazykin predator–prey model with predator intraspecific interactions and ratio-dependent functional response is proposed and investigated....
-
Codimension-2 bifurcations of a generalized three-dimensional cubic jerk system
This paper is devoted to analyzing the codimension-2 bifurcations of a generalized three-dimensional (3D) jerk system which is jerk function with all...
-
Bifurcations of Equilibria and Periodic Orbits in n-Dimensional Dynamical Systems
In the previous two chapters, we studied bifurcations of equilibria and fixed points in generic one-parameter dynamical systems having the minimum...
-
A Comprehensive Study of Bifurcations in an Interactive Population Model with Food-Limited Growth
In a two-dimensional prey–predator model with a Holling type-II functional response and a food-limited prey growth rate, this study explores the...
-
Global bifurcations in a dynamical model of recurrent neural networks
The dynamical behaviour of a continuous time recurrent neural network model with a special weight matrix is studied. The network contains several...
-
Theory of Bifurcations
Bifurcation means a topographical qualitative change in the orbit of a system. The bifurcation of a system had been first reported by the French...
-
On the Nature of Local Bifurcations of the Kuramoto–Sivashinsky Equation in Various Domains
We consider a nonlinear parabolic partial differential equation in the case where the unknown function depends on two spatial variables and time,...
-
Bifurcations driven by generalist and specialist predation: mathematical interpretation of Fennoscandia phenomenon
In this paper, we revisit a predator–prey model with specialist and generalist predators proposed by Hanski et al. (J Anim Ecol 60:353–367, 1991) ,...
-
Hopf and Bogdanov–Takens Bifurcations of a Delayed Bazykin Model
In this work, the Hopf and Bogdanov–Takens bifurcations of a delayed Bazykin predator–prey model with predator intraspecific interactions and...
-
Asymptotic stability and bifurcations of a perturbed McMillan map
This paper presents various bifurcations of the McMillan map under perturbations of its coefficients, such as period-doubling, pitchfork, and...
-
Physically Informed Deep Learning Technique for Estimating Blood Flow Parameters in Arterial Bifurcations
AbstractThis research investigates application of physically regularized deep learning for the estimation of blood flow parameters in bifurcations of...
-
Towards a Classification of Steady-State Bifurcations for Networks with Asymmetric Inputs
We consider homogeneous coupled cell networks with asymmetric inputs. We obtain general results concerning codimension-one steady-state bifurcations...
-
Computer-Assisted Proofs of Hopf Bubbles and Degenerate Hopf Bifurcations
We present a computer-assisted approach to prove the existence of Hopf bubbles and degenerate Hopf bifurcations in ordinary and delay differential...
