Constrained Frobenius-Perron Operator to Analyse the Dynamics on Composed Attractors

K. G. Szabo, T. Tél

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this contribution we propose a technique to analyse arbitrary invariant subsets of chaotic dynamical systems. For this purpose we introduce the constrained Frobenius-Perron operator. We demonstrate the use of this operator by determining the geometrical multifractal spectrum of invariant chaotic subsets of one-dimensional maps which are either coexisting side by side independently or are embedded in a larger set close to a crisis configuration.

Original languageEnglish
Pages (from-to)1223-1228
Number of pages6
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume49
Issue number12
DOIs
Publication statusPublished - Dec 1 1994

Fingerprint

Frobenius-Perron Operator
Set theory
set theory
Attractor
Dynamical systems
operators
Chaotic Dynamical Systems
Multifractal Spectrum
One-dimensional Maps
Subset
Invariant
Large Set
dynamical systems
Configuration
Arbitrary
Operator
configurations
Demonstrate
Crisis

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Constrained Frobenius-Perron Operator to Analyse the Dynamics on Composed Attractors. / Szabo, K. G.; Tél, T.

In: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, Vol. 49, No. 12, 01.12.1994, p. 1223-1228.

Research output: Contribution to journalArticle

@article{0a70169f088448f6b7e24ef7a4b1b7ed,
title = "Constrained Frobenius-Perron Operator to Analyse the Dynamics on Composed Attractors",
abstract = "In this contribution we propose a technique to analyse arbitrary invariant subsets of chaotic dynamical systems. For this purpose we introduce the constrained Frobenius-Perron operator. We demonstrate the use of this operator by determining the geometrical multifractal spectrum of invariant chaotic subsets of one-dimensional maps which are either coexisting side by side independently or are embedded in a larger set close to a crisis configuration.",
author = "Szabo, {K. G.} and T. T{\'e}l",
year = "1994",
month = "12",
day = "1",
doi = "10.1515/zna-1994-1220",
language = "English",
volume = "49",
pages = "1223--1228",
journal = "Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences",
issn = "0932-0784",
publisher = "Verlag der Zeitschrift fur Naturforschung",
number = "12",

}

TY - JOUR

T1 - Constrained Frobenius-Perron Operator to Analyse the Dynamics on Composed Attractors

AU - Szabo, K. G.

AU - Tél, T.

PY - 1994/12/1

Y1 - 1994/12/1

N2 - In this contribution we propose a technique to analyse arbitrary invariant subsets of chaotic dynamical systems. For this purpose we introduce the constrained Frobenius-Perron operator. We demonstrate the use of this operator by determining the geometrical multifractal spectrum of invariant chaotic subsets of one-dimensional maps which are either coexisting side by side independently or are embedded in a larger set close to a crisis configuration.

AB - In this contribution we propose a technique to analyse arbitrary invariant subsets of chaotic dynamical systems. For this purpose we introduce the constrained Frobenius-Perron operator. We demonstrate the use of this operator by determining the geometrical multifractal spectrum of invariant chaotic subsets of one-dimensional maps which are either coexisting side by side independently or are embedded in a larger set close to a crisis configuration.

UR - http://www.scopus.com/inward/record.url?scp=84871337464&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84871337464&partnerID=8YFLogxK

U2 - 10.1515/zna-1994-1220

DO - 10.1515/zna-1994-1220

M3 - Article

VL - 49

SP - 1223

EP - 1228

JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

SN - 0932-0784

IS - 12

ER -