Results 251 to 260 of about 2,348,184 (292)

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 Diagram of a Map with Multiple Critical Points

International Journal of Bifurcation and Chaos, 2018
In this work a conjecture to draw the bifurcation diagram of a map with multiple critical points is enunciated. The conjecture is checked by using two quartic maps in order to verify that the bifurcation diagrams obtained according to the conjecture contain all the periodic orbits previously counted by Xie and Hao for maps with four laps.
M. Romera, G. Pastor, Marius-F. Danca, Agustín Martín 0001, A. B. Orue, Fausto Montoya Vitini, Luis Hernández Encinas, Emanuel Tundrea   +7 more
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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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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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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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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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Parametrization of a solution at bifurcation points

Differential Equations, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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