Results 201 to 210 of about 78,418 (212)

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.
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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
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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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VISUALIZING BIFURCATIONS IN HIGH DIMENSIONAL SYSTEMS: THE SPECTRAL BIFURCATION DIAGRAM

International Journal of Bifurcation and Chaos, 2003
This paper presents methods to visualize bifurcations in flows of nonlinear dynamical systems, using the Lorenz '96 systems as examples. Three techniques are considered; the first two, density and max/min diagrams, are analagous to the bifurcation diagrams used for maps, which indicate how the system's behavior changes with a control parameter ...
David Orrell, David Orrell, Leonard A. Smith, Leonard A. Smith   +3 more
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Qualitative bifurcation diagrams

2014
This thesis explores the use of qualitative reasoning to predict the behavior of a dynamical system given a change in one of its parameters based upon a qualitative representation of its bifurcation diagram. Three algorithms were developed to perform this task.
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THE GEOMETRY OF BIFURCATION DIAGRAMS

Russian Mathematical Surveys, 1979
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The Bifurcation Diagram

2012
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Ignitions diagrams and bifurcation maps

1998
DI MAIO, Francesco Paolo, Barbieri G., Lignola P. G.   +2 more
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