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Bifurcation diagram
unstable points are omitted. Bifurcation diagrams enable the visualization of bifurcation theory. An example is the bifurcation diagram of the logistic map: x
Bifurcation
Bifurcation or bifurcated may refer to: Bifurcation theory, the study of sudden changes in dynamical systems Bifurcation, of an incompressible flow, modeled
Bifurcation theory
bifurcation Pitchfork bifurcation Period-doubling (flip) bifurcation Hopf bifurcation Neimark–Sacker (secondary Hopf) bifurcation Global bifurcations
Logistic map
period have infinitely many unstable cycles of various periods. The bifurcation diagram at right summarizes this. The horizontal axis shows the possible
Period-doubling bifurcation
In mathematics, a period doubling bifurcation in a discrete dynamical system is a bifurcation in which a slight change in a parameter value in the system's
Feigenbaum constants
specifically bifurcation theory, the Feigenbaum constants are two mathematical constants which both express ratios in a bifurcation diagram for a non-linear
Rössler attractor
the system require non-linear methods such as Poincaré maps and bifurcation diagrams. The original Rössler paper states the Rössler attractor was intended
Pitchfork bifurcation
In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation where the system transitions from
Chaos theory
dynamics from regular to chaotic one with qualitatively the same bifurcation diagram as those for logistic map. In contrast, for continuous dynamical
Arnold tongue
tongue (named after Vladimir Arnold) is a phenomenon observed in bifurcation diagrams when the value of a certain parameter α {\displaystyle \alpha } constrains