Results 261 to 270 of about 46,577 (307)

The Computation of Symmetry-Breaking Bifurcation Points

SIAM Journal on Numerical Analysis, 1984
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Werner, B., Spence, A.
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A numerical approach to hopf bifurcation points

Journal of Shanghai University (English Edition), 1998
Consider the \(n\)-dimensional autonomous system \({dx\over dt}= f(x,\alpha)\) depending on a real parameter \(\alpha\). The authors present a numerical method to detect a Hopf bifurcation point \(\alpha_0\) based on the computation of the largest Lyapunov exponent. The method is illustrated by means of two examples.
Yang, Zhonghua, Li, Changpin
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Bifurcations and Switch Points

SSRN Electronic Journal, 2017
This 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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Bifurcation points and asymptotic bifurcation points of nonlinear operators in M-PN spaces

Nonlinear Analysis: Theory, Methods & Applications, 2009
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Li, Qiuying, Zhu, Chuanxi, Wang, Sanhua
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Computing multiple pitchfork bifurcation points

Computing, 1997
For 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, Uwe Schnabel, Hubert Schwetlick   +2 more
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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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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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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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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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