Treffer: Towards a computer-assisted proof for chaos in a forced damped pendulum equation
Title:
Towards a computer-assisted proof for chaos in a forced damped pendulum equation
Authors:
Source:
Scientific Computing, Computer arithmetic, and Validated Numerics (SCAN 2004)Journal of computational and applied mathematics. 199(2):378-383
Publisher Information:
Amsterdam: Elsevier, 2007.
Publication Year:
2007
Physical Description:
print, 10 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Analyse de l'erreur, Error analysis, Equations différentielles, Ordinary differential equations, Ajustement modèle, Model matching, Ajustamiento modelo, Analyse numérique, Numerical analysis, Análisis numérico, Arithmétique intervalle, Interval arithmetic, Aritmética intervalo, Chaos, Caos, Equation différentielle, Differential equation, Ecuación diferencial, Equation pendule forcée, Forced pendulum equation, Ecuación péndulo forzado, Fiabilité, Reliability, Fiabilidad, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Simulation numérique, Numerical simulation, Simulación numérica, Equation amortie, 65G30, 65G40, Differential equations, Interval method, Pendulum
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Institute of Informatics, University of Szeged, Szeged, Hungary
Bolyai Institute, University of Szeged, Szeged, Hungary
Bolyai Institute, University of Szeged, Szeged, Hungary
ISSN:
0377-0427
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.18411501
Database:
PASCAL Archive
Weitere Informationen
We report on the first steps made towards the computational proof of the chaotic behaviour of the forced damped pendulum. Although, chaos for this pendulum was being conjectured for long, and it has been plausible on the basis of numerical simulations, there is no rigorous proof for it. In the present paper we provide computational details on a fitting model and on a verified method of solution. We also give guaranteed reliability solutions showing some trajectory properties necessary for complicate chaotic behaviour.