Results 261 to 270 of about 60,891 (313)

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
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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
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Bifurcation Points of Carbon Regulation

World of Transport and Transportation, 2023
There are 1800 climate change laws around the world. In recent years, the rapid increase in carbon emissions has caused global warming and climate pollution, causing serious harm to social development and human health. Reducing carbon emissions is getting a lot of attention.
B. A. Lyovin, V. Ya. Tsvetkov, N. V. Isain, A. L. Okhotnikov   +3 more
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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.
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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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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.
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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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