### Abstract

Let a set {X_{λ}; λ ∈ Λ} of subspaces of a topological space X be a cover of X. Mathematical conditions are proposed for each subspace X_{λ} to define a map g_{Xλ} : X_{λ} → X which has the following property specific to the tent map known in the baker's transformation. Namely, for any infinite sequence ω_{0}, ω_{1}, ω_{2}, ... of X_{λ}, λ ∈ Λ, we can find an initial point x_{0} ∈ ω_{0} such that {Mathematical expression}. The conditions are successfully applied to a closed cover of a weak self-similar set.

Original language | English |
---|---|

Pages (from-to) | 1256-1258 |

Number of pages | 3 |

Journal | Chaos, Solitons and Fractals |

Volume | 29 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2006 Sep |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics

## Fingerprint Dive into the research topics of 'On a property specific to the tent map'. Together they form a unique fingerprint.

## Cite this

Kitada, A., & Ogasawara, Y. (2006). On a property specific to the tent map.

*Chaos, Solitons and Fractals*,*29*(5), 1256-1258. https://doi.org/10.1016/j.chaos.2005.08.159