Results 41 to 50 of about 7,167 (323)
Mathematical Biosciences and Engineering, 2020 This paper is concerned with how the singularity and delay in a feed forward neural network affect generic dynamics and bifurcations. By computation of Hopf-pitchfork point in a two-parameter nonlinear problem, the mode interactions in two parameters ...
Wenlong Wang, Chunrui Zhang
doaj +1 more source
Multi-agent decision-making dynamics inspired by honeybees [PDF]
, 2018 When choosing between candidate nest sites, a honeybee swarm reliably chooses the most valuable site and even when faced with the choice between near-equal value sites, it makes highly efficient decisions.
Franci, Alessio +3 more
core +1 more source
Dynamics Analysis of a Discrete-Time Commensalism Model with Additive Allee for the Host Species
Axioms, 2023 We propose and study a class of discrete-time commensalism systems with additive Allee effects on the host species. First, the single species with additive Allee effects is analyzed for existence and stability, then the existence of fixed points of ...
Yanbo Chong +3 more
doaj +1 more source
Complex Bifurcation from Real Paths [PDF]
, 1990 A new bifurcation phenomenon, called complex bifurcation, is studied. The basic idea is simply that real solution paths of real analytic problems frequently have complex paths bifurcating from them. It is shown that this phenomenon occurs at fold points,
Henderson, M. E., Keller, H. B.
core +1 more source
Micromachines, 2021 The continuous separation and filtration of particles immersed in fluid flows are important interests in various applications. Although the inertial focusing of particles suspended in a duct flow is promising in microfluidics, predicting the focusing ...
Hiroshi Yamashita +2 more
doaj +1 more source
Slow Passage Through a Pitchfork Bifurcation [PDF]
SIAM Journal on Applied Mathematics, 1996 This paper deals with a class of second-order differential equations with a slowly varying bifurcation parameter. The parameter slowly varies through a critical value corresponding to a transition from a stable equilibrium to one of the two stable branches of an intersecting parabolic curve.
openaire +2 more sources
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability [PDF]
, 2019 We study the dynamics arising when two identical oscillators are coupled near a Hopf bifurcation where we assume a parameter $\epsilon$ uncouples the system at $\epsilon=0$.
Ashwin, P. +4 more
core +3 more sources
International Journal of Mathematics and Mathematical Sciences, 2022 In this paper, we employ the logistic map and the cubic map to locate the relaxation and the convergence to the periodic fixed point of a system, specifically, the period—1 fixed point.
Patrick Akwasi Anamuah Mensah +4 more
doaj +1 more source
Chua’s oscillator: an introductory approach to chaos theory [PDF]
Revista Brasileira de Ensino de Física, 2020 The purpose of this article is to build an introductory approach to chaos theory from the Chua’ oscillator for students of mathematics, physics and engineering.
Alexandre Sordi
doaj +1 more source
Propagation Failure in Excitable Media
, 1997 We study a mechanism of pulse propagation failure in excitable media where stable traveling pulse solutions appear via a subcritical pitchfork bifurcation. The bifurcation plays a key role in that mechanism.
A. F. M. Maree +26 more
core +1 more source