Results 241 to 250 of about 2,348,184 (292)

Direction of branches bifurcating at a bifurcation point. determination of starting points for a continuation algorithm

Applied Mathematics and Computation, 1983
Dans cet article les AA. considèrent des systèmes de n équations algébriques non linéaires \(f_ i(x_ 1,x_ 2,...,x_ n,\alpha)=0\), \(i=1,2,...,n\), dépendant du paramètre \(\alpha\). Des points de bifurcation, qui sont des points d'intersection de deux ou plusieurs branches de solutions, peuvent se présenter. Les AA.
Kubiček, Milan, Klič, Alois
openaire   +1 more source

Investigating Bifurcation Points of Complex Network Synchronization

International Journal of Bifurcation and Chaos, 2022
This paper investigates the relationship between synchronization, system dynamics, and bifurcation points. To investigate the synchronization of dynamical systems, first, two oscillators are considered. Then networks with different structures are generated.
Bahareh Karimi Rahjerdi, Ramesh Ramamoorthy, Fahimeh Nazarimehr, Karthikeyan Rajagopal, Sajad Jafari, Iqtadar Hussain   +5 more
openaire   +2 more sources

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
openaire   +1 more source

A note on Computing simple bifurcation points

Computing, 1989
The author suggests a modification for the implementation of a method which is originally due to \textit{G. Pönisch} [Computing 35, 277-294 (1985; Zbl 0569.65041)]. There is a numerical example.
openaire   +1 more source

The Computation of Symmetry-Breaking Bifurcation Points

SIAM Journal on Numerical Analysis, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Werner, B., Spence, A.
openaire   +1 more source

Bifurcation points and asymptotic bifurcation points of nonlinear operators in M-PN spaces

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Qiuying, Zhu, Chuanxi, Wang, Sanhua
openaire   +1 more source

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 ...
openaire   +1 more source

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
openaire   +3 more sources

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.
openaire   +1 more source

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
openaire   +3 more sources