Structure Of The Correlation Function At The Accumulation Points Of The Logistic Map

Author

K. Karamanos
I. S. Mistakidis
Simeon I. Mistakidis, Missouri University of Science and TechnologyFollow

Abstract

The Correlation Function Of The Trajectory Exactly At The Feigenbaum Point Of The Logistic Map Is Investigated And Checked By Numerical Experiments. Taking Advantage Of Recent Closed Analytical Results On The Symbol-To-Symbol Correlation Function Of The Generating Partition, We Are In Position To Justify The Deep Algorithmic Structure Of The Correlation Function Apart From Numerical Constants. A Generalization Is Given For Arbitrary M · 2∞ Feigenbaum Attractors.

Recommended Citation

K. Karamanos et al., "Structure Of The Correlation Function At The Accumulation Points Of The Logistic Map," Chaos, Solitons and Fractals, vol. 96, pp. 154 - 159, Elsevier, Mar 2017.

The definitive version is available at https://doi.org/10.1016/j.chaos.2017.01.020

Department(s)

Physics

Keywords and Phrases

Bifurcation points; Correlation function; Feigenbaum attractors; Logistic map; Symbolic dynamics

International Standard Serial Number (ISSN)

0960-0779

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Elsevier, All rights reserved.

Publication Date

01 Mar 2017