Results 291 to 300 of about 175,042 (331)

Bifurcations in a Cubic System with a Degenerate Saddle Point

International Journal of Bifurcation and Chaos, 2014
Bifurcations in a cubic system with a degenerate saddle point are investigated using the technique of blow-up, the method of planar perturbation theory and qualitative analysis. It has been found that after appropriate perturbations, at least 12 limit cycles can bifurcate from a degenerate saddle point in a type of cubic systems.
Desheng Shang, Yaoming Zhang
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Education at the Point of Bifurcation

Russian Education & Society, 2011
Educational reforms in Russia are attempting to establish a basis for an education that provides for the needs of the economy and society, but more attention needs to be given to the ways in which education can aid in the development of the human potential in all its spheres of endeavor.
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POLYNOMIALS OF THE BIFURCATION POINTS OF THE LOGISTIC MAP

International Journal of Bifurcation and Chaos, 2011
The bifurcation points of the logistic map are algebraic, but little has been proven about the polynomials they satisfy. We find the degrees of these polynomials show that their roots come in pairs whose mean is one, put constraints on the size and prime factors of their constant coefficients, and record the number of real roots.
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Investigation of bifurcation points

1969
In sections 16 and 17 we encountered bifurcation points. In diagrams which represent the solutions depending on some parameter e, say, there exist special values of this parameter, es, where solutions coincide which for e ≠ es are of different character. Looked at e = es from another point of view we might say that at e = es a new solution branches off
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Bifurcation and Critical Point

2012
In Chap. 4, we use bifurcation and critical point theory together to study the structure of the solutions of elliptic equations; also we have results on three sign-changing solutions.
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Counting Central Configurations at the Bifurcation Points

Acta Applicandae Mathematicae, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Computation of multiple bifurcation point

Engineering Computations, 2006
PurposeThe aim of this paper is to develop a new method for finding multiple bifurcation points in structures.Design/methodology/approachA brief review of nonlinear analysis is presented. A powerful method (called arc‐length) for tracing nonlinear equilibrium path is described.
M. Rezaiee‐Pajand, H.R. Vejdani‐Noghreiyan   +1 more
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Bifurcation points of Hammerstein equations

Integral Equations and Operator Theory, 1993
We apply global bifurcation theorems to systems of nonlinear integral equations of Hammerstein type involving a scalar parameter. To this end, we give sufficient conditions for the continuous dependence, compactness, Fréchet differentiability, and asymptotic linearity of the corresponding operators, which are more general than in the classical setting.
Appell, Jürgen, Zabrejko, Petr P.
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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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