Calculation of the entropy in chaotic systems

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

A systematic approximation which consists of neglecting long-time memory effects for the entropy in chaotic systems is studied and its fast convergence is demonstrated. We determine the Lyapunov exponent for some one-dimensional maps with a high precision. For example the Lyapunov exponent of the logistic map at the first band merging point is obtained as =0.342 172 7....

Original languageEnglish
Pages (from-to)3477-3479
Number of pages3
JournalPhysical Review A
Volume31
Issue number5
DOIs
Publication statusPublished - 1985

Fingerprint

exponents
entropy
logistics
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Calculation of the entropy in chaotic systems. / Györgyi, G.; Szépfalusy, P.

In: Physical Review A, Vol. 31, No. 5, 1985, p. 3477-3479.

Research output: Contribution to journalArticle

@article{37ebb7f4425141579cf88f7d008681b3,
title = "Calculation of the entropy in chaotic systems",
abstract = "A systematic approximation which consists of neglecting long-time memory effects for the entropy in chaotic systems is studied and its fast convergence is demonstrated. We determine the Lyapunov exponent for some one-dimensional maps with a high precision. For example the Lyapunov exponent of the logistic map at the first band merging point is obtained as =0.342 172 7....",
author = "G. Gy{\"o}rgyi and P. Sz{\'e}pfalusy",
year = "1985",
doi = "10.1103/PhysRevA.31.3477",
language = "English",
volume = "31",
pages = "3477--3479",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Calculation of the entropy in chaotic systems

AU - Györgyi, G.

AU - Szépfalusy, P.

PY - 1985

Y1 - 1985

N2 - A systematic approximation which consists of neglecting long-time memory effects for the entropy in chaotic systems is studied and its fast convergence is demonstrated. We determine the Lyapunov exponent for some one-dimensional maps with a high precision. For example the Lyapunov exponent of the logistic map at the first band merging point is obtained as =0.342 172 7....

AB - A systematic approximation which consists of neglecting long-time memory effects for the entropy in chaotic systems is studied and its fast convergence is demonstrated. We determine the Lyapunov exponent for some one-dimensional maps with a high precision. For example the Lyapunov exponent of the logistic map at the first band merging point is obtained as =0.342 172 7....

UR - http://www.scopus.com/inward/record.url?scp=0001346065&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001346065&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.31.3477

DO - 10.1103/PhysRevA.31.3477

M3 - Article

AN - SCOPUS:0001346065

VL - 31

SP - 3477

EP - 3479

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 5

ER -