Abstract: The basins of attraction of a set A⊂Bn are the sets of these points μ∈Bn for which ωα(μ)⊂A. They are defined in Section 24.1, and some examples are given in Section 24.2. The most important properties of the basins of attraction are given in Section 24.3. The special case of basins of attraction when A={μ}, with Φ(μ)=μ, is mentioned in Section 24.4, and a version of the definition of the basins of attraction, when A={μ}, with Φ(p)(μ)=μ, is addressed in Section 24.5. We show in Section 24.6 that the isomorphisms of flows bring basins of attraction in basins of attraction.
Publication Year: 2023
Publication Date: 2023-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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