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A reversible bifurcation analysis of the inverted pendulum [PDF]
, 1998 The inverted pendulum with a periodic parametric forcing is considered as a bifurcation problem in the reversible setting. Parameters are given by the size of the forcing and the frequency ratio. Normal form theory provides an integrable approximation of
Broer, H.W. +6 more
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Energies, 2020 Recently, the demand for electricity has been increasing worldwide. Thus, more attention has been paid to renewable energy. There are acceptable limits during the integration of renewable energy into distribution systems because there are many effects of
Hyun-Tae Kim +5 more
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Global Hopf bifurcation in the ZIP regulatory system [PDF]
, 2015 Regulation of zinc uptake in roots of Arabidopsis thaliana has recently been modeled by a system of ordinary differential equations based on the uptake of zinc, expression of a transporter protein and the interaction between an activator and inhibitor ...
Ptashnyk, Mariya +4 more
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Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]
, 1972 The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
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Вестник университета, 2020 The article considers the main approaches to the development and evaluation of the organization’s logistics strategy based on the application of bifurcation theory.
M. Yu. Uchirova +2 more
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Analysis of stationary points and their bifurcations in the ABC -flow [PDF]
Applied Mathematics and Computation, 2018 Analytical expressions for coordinates of stationary points and conditions for their existence in the ABC flow are received. The type of the stationary points is shown analytically to be saddle-node. Exact expressions for eigenvalues and eigenvectors of the stability matrix are given.
A. A. Didov, M. Yu. Uleysky
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Analytic invariants associated with a parabolic fixed point in C2 [PDF]
, 2008 It is well known that in a small neighbourhood of a parabolic fixed point a real-analytic diffeomorphism of (R2,0) embeds in a smooth autonomous flow.
Naudot, V., Gelfreich, Vassili
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A bifurcation study to guide the design of a landing gear with a combined uplock/downlock mechanism [PDF]
, 2014 This paper discusses the insights that a bifurcation analysis can provide when designing mechanisms. A model, in the form of a set of coupled steady-state equations, can be derived to describe the mechanism.
Lowenberg, Mark H +7 more
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A universal bifurcation mechanism arising from progressive hydroelastic waves
Theoretical and Applied Mechanics Letters, 2022 A unidirectional, weakly dispersive nonlinear model is proposed to describe the supercritical bifurcation arising from hydroelastic waves in deep water.
Zhan Wang
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Bifurcation from a normally degenerate manifold
, 2010 Local bifurcation theory typically deals with the response of a degenerate but isolated equilibrium state or periodic orbit of a dynamical system to perturbations controlled by one or more independent parameters, and characteristically uses tools from ...
Chillingworth, D. R. J. +2 more
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