Symbolic dynamics of bimodal maps.
-theory for Cuntz-Krieger algebras arising from real quadratic maps.
Computation of the topological entropy in chaotic biophysical bursting models for excitable cells.
Irreducible complexity of iterated symmetric bimodal maps.
⊗-product of Markov matrices.
In this paper we introduce a ⊗-operation over Markov transition matrices, in the context of subshift of finite type, reproducing symbolic properties of the iterates of the critical point on a one-parameter family of unimodal maps. To the *-product between kneading sequences we associate a ⊗-product between the corresponding Markov matrices.
Construction of 0-1 matrices associated to period-doubling processes.
We elaborate a method allowing the determination of 0-1 matrices corresponding to dynamics of the interval having stable, 2-periodic orbits, k belonging to N. By recurrence on the finite dimensional matrices, we establish the form of the infinite matrices (k --> ∞).
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