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Dynamics of the generalized M set on escape-line diagram. (English) Zbl 1157.65509

Summary: The basic contour diagrams of the M set are briefly reviewed. With the method combining escape-line diagram of the generalized M sets and bifurcation diagram of a family of one-dimensional maps, the dynamics of a family of one-dimensional maps are studied and the graphic method to determine the period of midgets corresponding to the map is given.

MSC:

65P30 Numerical bifurcation problems
37M20 Computational methods for bifurcation problems in dynamical systems
37G10 Bifurcations of singular points in dynamical systems
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