Results 71 to 80 of about 26,001 (267)
A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation
Abstract and Applied Analysis, 2011 We consider a nonlinear equation F(ε,λ,u)=0, where the parameter ε is a perturbation parameter, F is a differentiable mapping from R×R×X to Y, and X, Y are Banach spaces.
Ping Liu, Yuwen Wang
doaj +1 more source
Critical phenomena in globally coupled excitable elements
, 2008 Critical phenomena in globally coupled excitable elements are studied by focusing on a saddle-node bifurcation at the collective level. Critical exponents that characterize divergent fluctuations of interspike intervals near the bifurcation are ...
C. L. Farrow +4 more
core +1 more source
International Journal for Numerical Methods in Fluids, EarlyView.In this paper, we consider the concept of discretely divergence‐free finite elements (DDFFE) based on the Rannacher–Turek finite element pair to efficiently solve the three‐dimensional incompressible Navier–Stokes equations. For this purpose, we first define a spanning set of DDFFE functions and then characterize a set of basis functions for arbitrary ...
Christoph Lohmann
wiley +1 more source
Hopf-zero bifurcation of Oregonator oscillator with delay
Advances in Difference Equations, 2018 In this paper, we study the Hopf-zero bifurcation of Oregonator oscillator with delay. The interaction coefficient and time delay are taken as two bifurcation parameters. Firstly, we get the normal form by performing a center manifold reduction and using
Yuting Cai, Liqin Liu, Chunrui Zhang
doaj +1 more source
A complex network perspective on brain disease
Biological Reviews, EarlyView.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
Critical phenomena and noise-induced phase transitions in neuronal networks [PDF]
, 2013 We study numerically and analytically first- and second-order phase transitions in neuronal networks stimulated by shot noise (a flow of random spikes bombarding neurons).
Goltsev, A. V. +3 more
core +3 more sources
A Series of Saddle - Node Bifurcation and Chaotic Behavior of a Family of a Semi - Triangular Maps [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 This paper studies the bifurcations in dynamics of a family of semi-triangular maps . We will prove that this family has a series of Saddle-node bifurcations and a period doubling bifurcation.
Salma Faris, Ammar Jameel
doaj +1 more source
Dynamic analysis of a Leslie-Gower predator-prey model with the fear effect and nonlinear harvesting
Mathematical Biosciences and Engineering, 2023 In this paper, we investigate the stability and bifurcation of a Leslie-Gower predator-prey model with a fear effect and nonlinear harvesting. We discuss the existence and stability of equilibria, and show that the unique equilibrium is a cusp of ...
Hongqiuxue Wu, Zhong Li, Mengxin He
doaj +1 more source
Journal of Computational Chemistry, Volume 46, Issue 28, October 30, 2025.This image categorizes global optimization methods into stochastic and deterministic approaches. Stochastic methods include techniques like Genetic Algorithms, Simulated Annealing, and Machine Learning, often involving randomness. Deterministic methods, such as Molecular Dynamics and Single‐Ended methods, follow defined rules without randomness.
Jorge Alberto Sanchez Alvarez +1 more
wiley +1 more source
Bifurcation analysis of a wild and sterile mosquito model
Mathematical Biosciences and Engineering, 2019 The bifurcation of an ordinary differential equation model describing interaction of the wild and the released sterile mosquitoes is analyzed.
Xiaoli Wang, Junping Shi, Guohong Zhang
doaj +1 more source