Results 231 to 240 of about 53,192 (267)

Parametrization of a solution at bifurcation points

Differential Equations, 2009
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Krasnikov, S. D., Kuznetsov, E. B.
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The Conley index and bifurcation points

Nonlinear Analysis: Theory, Methods & Applications, 1992
Sufficient conditions for the presence of a bifurcation point for flows in \(\mathbb{R}^ 1\) and a bifurcation point of a family of flows on a compact metric space are derived. The general case depends on the application of the general Conley index theory.
Fu, X. C., Xu, K. H.
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Lie-point symmetries in bifurcation problems

1992
The authors develop a theory of bifurcations of differential equations with Lie point symmetries. Viewing the differential equation as an ``algebraic equation'' on some jet bundle is the key of the analysis. The authors show how the well-known results of equivariant bifurcation theory can be formulated in this context and how the results carry over ...
CICOGNA, GIAMPAOLO, Gaeta G.
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Bifurcation Points on the Maclaurin Sequence

Publications of the Astronomical Society of Japan, 1984
Abstract All bifurcation points on the Maclaurin spheroidal sequence are calculated. Deformation types can be expressed by associated Legendre functions, i.e., Pnmηcos mϕ..
Izumi Hachisu, Yoshiharu Eriguchi
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Pattern selection at the bifurcation point

The Journal of Chemical Physics, 1980
The bifurcation analysis of inhomogeneous solutions to nonlinear reaction–diffusion equations in the infinite plane is carried out without imposing any a priori symmetry properties. A continuum of solutions bifurcating at the infinitely degenerate eigenvalue is constructed and these solutions are consequently sorted out by the stability analysis.
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Bifurcations of periodic points

1979
This thesis was prepared at the Rijksuniversiteit Groningen during the years 1974 - 1979. In it we consider the behaviour of periodic points in r-parameter families of diffeomorphisms. A more precise formulation may be found in chapter I (the introduction). There also the content of the various chapters is described.
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VBNet: An end-to-end 3D neural network for vessel bifurcation point detection in mesoscopic brain images

Computer Methods and Programs in Biomedicine, 2022
Junhuai Li, Yuxin Li, Huaijun Wang
exaly  

Humankind and the World at the Point of Bifurcation

Russian Journal of Philosophical Sciences
The article examines the developmental prospects of civilization from the perspective of self-organization theory and synergetics, which are becoming foundational for understanding the processes of the 21st century. The author argues that the contemporary world is at a bifurcation point, characterized by a loss of stability in its previous ...
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Detecting and Computing Bifurcation Points

2000
Exploring nonlinear phenomena has become a major challenge in physics, chemistry, biology, engineering, medicine and social science. We consider nonlinear problems of the form $$\frac{{\partial u}}{{\partial t}} = G(u,\lambda ) $$ (3.1) where G : X x R p → Y is a “smooth” mapping and λ ∈ R p represents various control parameters, e.g ...
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Degenerate Transcritical Bifurcation Point can be an Attractor: A Case Study in a Slow–Fast Modified Leslie–Gower Model

Qualitative Theory of Dynamical Systems, 2022
Jianhe Shen
exaly