Results 101 to 110 of about 5,483 (218)
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G′⁄G)‐expansion method is applied to solve this class of fractional‐order nonlinear differential equations and derive analytical solutions.
Hongqiang Tu, Yongyi Gu, Guotao Wang
wiley +1 more source
Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms [PDF]
, 2010 Dynamical phenomena are studied near a Hopf-saddle-node bifurcation of fixed points of 3D-diffeomorphisms. The interest lies in the neighbourhood of weak resonances of the complex conjugate eigenvalues.
Henk Broer +9 more
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Homoclinic Saddle-Node Bifurcations in Singularly Perturbed Systems
Journal of Dynamics and Differential Equations, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Doelman, A., Hek, G.M.
openaire +4 more sources
Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping
Shock and Vibration, 2018 This paper studies a rigid impact oscillator with bilinear damping developed as the mechanical model of an impulsive switched system. The stability and the bifurcation of periodic orbits in the impact oscillator are determined by using the mapping ...
Liping Zhang, Haibo Jiang, Yang Liu
doaj +1 more source
Codimension two and three bifurcations of a predator–prey system with group defense and prey refuge
Nonlinear Analysis, 2015 A predator–prey system with nonmonotonic functional response and prey refuge is considered. We mainly obtain that the system has the bifurcations of cusp-type codimension two and three, these illustrate that the dynamic behaviors of the model with prey ...
Xia Liu, Jinling Wang
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Coulomb-actuated microbeams revisited: experimental and numerical modal decomposition of the saddle-node bifurcation. [PDF]
Microsyst Nanoeng, 2021 Melnikov A +7 more
europepmc +1 more source
气体物理The subcritical transition of wall-bounded shear flows, such as pipe flow and channel flow, is often preceded by localized turbulent structures.
Jianjun TAO, Jiashun GUAN, Linsen ZHANG
doaj +1 more source
Saddle-node bifurcation of viscous profiles
, 2010 Traveling wave solutions of viscous conservation laws, that are associated to Lax shocks of the inviscid equation, have generically a transversal viscous pro le.
Achleitner, Franz, Szmolyan, Peter
core
Saddle‐Node Bifurcation and Homoclinic Persistence in AFMs with Periodic Forcing
Mathematical Problems in Engineering, 2019 We study the dynamics of an atomic force microscope (AFM) model, under the Lennard‐Jones force with nonlinear damping and harmonic forcing. We establish the bifurcation diagrams for equilibria in a conservative system. Particularly, we present conditions that guarantee the local existence of saddle‐node bifurcations.
Alexánder Gutiérrez Gutiérrez +2 more
openaire +1 more source
Sil'nikov-saddle-node interaction near a codimension 2 bifurcation: Laser with injected signal
, 1997 We describe a Sil'nikov-saddle-node interaction in the proximity of a Hopf-saddle-node bifurcation both from numerical and theoretical viewpoints, inspired by numerical observations on a 3-dim model of a laser with injected signal.
Hernan G. Solari +3 more
core +1 more source