Results 221 to 230 of about 53,192 (267)
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Bifurcations and Switch Points
SSRN Electronic Journal, 2017This article analyzes structural instabilities, in a model of prices of production, associated with variations in coefficients of production, in industrial organization, and in the steady-state rate of growth. Numerical examples are provided, with illustrations, demonstrating that technological improvements or the creation of differential rates of ...
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Computing multiple pitchfork bifurcation points
Computing, 1997For the parameter dependent nonlinear equation \(F(x,\lambda) =0\), \(F: \mathbb{R}^n \times \mathbb{R}^1 \to\mathbb{R}^n\), the generically important case \(\text{rank} \partial_x E(x^*, \lambda^*) =n-1\) is investigated. In a neighborhood of such pitchfork bifurcation point \((x^*, \lambda^*)\) of multiplicity \(p\geq 1\) the Lyapunov-Schmidt ...
Gerd Pönisch +2 more
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Education at the Point of Bifurcation
Russian Education & Society, 2011Educational 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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Bifurcations in a Cubic System with a Degenerate Saddle Point
International Journal of Bifurcation and Chaos, 2014Bifurcations 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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Investigation of bifurcation points
1969In 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
2012In 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, 2011The 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 Diagram of a Map with Multiple Critical Points
International Journal of Bifurcation and Chaos, 2018In 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 +7 more
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Bifurcation points of Hammerstein equations
Integral Equations and Operator Theory, 1993We 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, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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