Results 231 to 240 of about 747,954 (250)

Germs of bifurcation diagrams and SN–SN families

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021
We study the geometry of the bifurcation diagrams of the families of vector fields in the plane. Countable number of pairwise non-equivalent germs of bifurcation diagrams in the two-parameter families is constructed. Previously, this effect was discovered for three parameters only.
openaire   +3 more sources

Bifurcation diagrams of coupled Schrödinger equations

Applied Mathematics and Computation, 2012
Radially symmetric solutions of many important systems of partial differential equations can be reduced to systems of special ordinary differential equations. A numerical solver for initial value problems for such systems is developed based on Matlab, and numerical bifurcation diagrams are obtained according to the behavior of the solutions.
Michael Christopher Essman, Junping Shi
openaire   +2 more sources

A Bifurcation Diagram Tool based on NichePSO

2013 IEEE International Autumn Meeting on Power Electronics and Computing (ROPEC), 2013
A software tool for bifurcation diagram plotting called BDT (Bifurcation Diagram Tool) is presented. CDT is based on NichePSO, a meta-heuristic capable of optimizing functions. The problem of determining a fixed point is reformulated as one of finding the minimum of another function. Niches are used to determine all fixed points of the function.
Juan J. Flores, Oscar Vargas Torres, Jaime Cerda Jacobo   +2 more
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Bifurcation diagrams of quadratic differentials

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997
Abstract We study the versai deformations of quadratic differential zm1 dz2 and the bifurcation diagrams of trajectories therein, that is the set of parameters for which homoclinic vertical or horizontal trajectory exists.
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Domains of ferroresonance occurrence by bifurcation diagrams

Proceedings of 19th Convention of Electrical and Electronics Engineers in Israel, 2002
Ferroresonance can occur in inductive voltage transformers (VT) as a result of disconnecting a busbar or a line section by opening circuit breakers equipped with grading capacitors. This phenomenon is harmful for the electric power system due to the overvoltages and overcurrents it generates, which can damage the VT and the protective and measuring ...
A. Ben-Tal, D. Shein
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A complete bifurcation diagram of the Ginzburg-Landau equation with periodic boundary conditions

, 2005
We consider the Ginzburg-Landau equation with a positive parameter, say lambda, and solve all equilibrium solutions with periodic boundary conditions.
S. Kosugi, Y. Morita, Shoji Yotsutani
semanticscholar   +1 more source

Bifurcation diagram of the oscillatory Belousov-Zhabotinskii system of oxalic acid in a continuous flow stirred tank reactor. Further possible evidence of saddle node infinite period bifurcation behavior of the system

, 1986
This paper presents the bifurcation diagram of one of the simplest Belousov-Zhabotinskii (BZ) type oscillators (the bromate-cerium-oxalic acid system) in a continuous flow stirred tank reactor (CSTR).
V. Gáspár, P. Galambosi
semanticscholar   +1 more source

Global first harmonic bifurcation diagram for odd piecewise linear control systems

, 1996
The describing function method (used normally as a first approximation to study the existence and the stability of periodic orbits) is used here to analyze the dependence of periodic orbits on the parameters of autonomous systems.
J. Llibre, E. Ponce
semanticscholar   +1 more source

Bifurcation diagram and large energy dissipation caused by chaotic domain-wall motion

, 1994
The chaotic oscillation of a domain wall is investigated by computer simulation. The bifurcation diagrams of the wall velocity and the power spectrum are calculated as a function of the amplitude of the external magnetic field. The Feigenbaum scenario of
H. Okuno, Y. Sugitani, T. Homma
semanticscholar   +1 more source

A bifurcation diagram of solutions to an elliptic equation with exponential nonlinearity in higher dimensions

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017
Hiroaki Kikuchi, Juncheng Wei
semanticscholar   +1 more source