Random mappings with a single absorbing center and combinatorics of discretizations of the logistic mapping.
Recurrent point set of the shift on Σ and strong chaos
Let (Σ,ϱ) be the one-sided symbolic space (with two symbols), and let σ be the shift on Σ. We use A(·), R(·) to denote the set of almost periodic points and the set of recurrent points respectively. In this paper, we prove that the one-sided shift is strongly chaotic (in the sense of Schweizer-Smítal) and there is a strongly chaotic set 𝒥 satisfying 𝒥 ⊂ R(σ)-A(σ).
Representations of the Whitehead manifold and Julia sets
Robust controller design for modified projective synchronization of Chen-Lee chaotic systems with nonlinear inputs.