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BJU International, Volume 135, Issue 4, Page 700-705, April 2025.
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Computing 3D Bifurcation Diagrams
AIP Conference Proceedings, 2008The nature and localization of critical parameter sets called bifurcations is a central issue in nonlinear dynamical system theory. Codimension‐1 bifurcations form hypersurfaces in parameter space. Some bifurcations of higher codimension can be identified as intersections of these surfaces.
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Qualitative bifurcation diagrams
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VISUALIZING BIFURCATIONS IN HIGH DIMENSIONAL SYSTEMS: THE SPECTRAL BIFURCATION DIAGRAM
International Journal of Bifurcation and Chaos, 2003This 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 ...
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