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Articles

Topological properties of Lorenz maps derived from unimodal maps

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Pages 1174-1191 | Received 17 Oct 2019, Accepted 17 Apr 2020, Published online: 29 May 2020

Figures & data

Figure 1. An increasing and decreasing symmetric Lorenz map ϕ and ψ obtained from a unimodal map f.

Figure 1. An increasing and decreasing symmetric Lorenz map ϕ and ψ obtained from a unimodal map f.

Figure 2. The points ζSQ(k)<cSk1<ζSQ(k)1 and their images under fSQ(k).

Figure 2. The points ζSQ(k)<cSk−1<ζSQ(k)−1 and their images under fSQ(k).

Figure 3. A stunted symmetric Lorenz map φ¯ as a circle endomorphism.

Figure 3. A stunted symmetric Lorenz map φ¯ as a circle endomorphism.

Figure 4. Constructing the outside and stunted Lorenz map for a tent map Tλ.

Figure 4. Constructing the outside and stunted Lorenz map for a tent map Tλ.