Results 21 to 30 of about 170,965 (333)
Pitchfork bifurcation and heteroclinic connections in the Kuramoto–Sivashinsky PDE
Journal of Computational DynamicsWe present a method for the complete analysis of the dynamics of dissipative Partial Differential Equations (PDEs) undergoing a pitchfork bifurcation. We apply our technique to the Kuramoto--Sivashinsky PDE on the line to obtain a computer-assisted proof of the creation of two symmetric branches of non-symmetric fixed points and heteroclinic ...
Kubica, Jacek +2 more
openaire +4 more sources
Advanced Turning Maneuver of a Many-Legged Robot Using Pitchfork Bifurcation [PDF]
IEEE Transactions on robotics, 2021 Legged robots have excellent terrestrial mobility for traversing diverse environments and, thus, have the potential to be deployed in a wide variety of scenarios. However, they are susceptible to falling and leg malfunction during locomotion.
S. Aoi +7 more
semanticscholar +1 more source
In vitro arrhythmia generation by mild hypothermia: a pitchfork bifurcation type process
Physiological Measurement, 2015 Binbin Xu +5 more
semanticscholar +4 more sources
Cluster Oscillation of a Fractional-Order Duffing System with Slow Variable Parameter Excitation
Fractal and Fractional, 2022 The complicated dynamic behavior of a fractional-order Duffing system with slow variable parameter excitation is investigated. The stability and bifurcation behavior of the fast subsystem are analyzed by using the dynamic theory of fractional-order ...
Xianghong Li, Yanli Wang, Yongjun Shen
doaj +1 more source
Hopf-pitchfork bifurcation in van der Pol's oscillator with nonlinear delayed feedback
, 2010 Hongbin Wang, Weihua Jiang
semanticscholar +2 more sources
Stable and non-symmetric pitchfork bifurcations [PDF]
Science China Mathematics, 2020 In this paper, we present a criterion for pitchfork bifurcation of smooth vector fields based on a topological argument. Our result expands Rajapakse and Smale's result \cite{RS2} significantly. Based on our criterion, we present a class of families of non-symmetric vector fields undergoing a pitchfork bifurcation.
Michael Shub +2 more
openaire +3 more sources
Exploring the mechanisms of differentiation, dedifferentiation, reprogramming and transdifferentiation. [PDF]
PLoS ONE, 2014 We explored the underlying mechanisms of differentiation, dedifferentiation, reprogramming and transdifferentiation (cell type switchings) from landscape and flux perspectives.
Li Xu, Kun Zhang, Jin Wang
doaj +1 more source
The chaotic mechanisms in some jerk systems
AIMS Mathematics, 2022 In this work, a five-parameter jerk system with one hyperbolic sine nonlinearity is proposed, in which $ \varepsilon $ is a small parameter, and $ a $, $ b $, $ c $, $ d $ are some other parameters.
Xiaoyan Hu, Bo Sang, Ning Wang
doaj +1 more source
Imperfect transcritical and pitchfork bifurcations
Journal of Functional Analysis, 2007 AbstractImperfect bifurcation phenomena are formulated in framework of analytical bifurcation theory on Banach spaces. In particular the perturbations of transcritical and pitchfork bifurcations at a simple eigenvalue are examined, and two-parameter unfoldings of singularities are rigorously established.
Yuwen Wang +4 more
openaire +2 more sources