Title

Homoclinic connections and numerical integration

Authors

Authors

A. Tovbis

Comments

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Abbreviated Journal Title

Numer. Algorithms

Keywords

homoclinic connection; numerical chaos; finite difference methods; DIFFERENCE SCHEME; CHAOS; Mathematics, Applied

Abstract

One of the best known mechanisms of onset of chaotic motion is breaking of heteroclinic and homoclinic connections. It is well known that numerical integration on long time intervals very often becomes unstable (numerical instabilities) and gives rise to what is called ''numerical chaos''. As one of the initial steps to discuss this phenomenon. we show in this paper that Euler's finite difference scheme does not preserve homoclinic connections.

Journal Title

Numerical Algorithms

Volume

14

Issue/Number

1-3

Publication Date

1-1-1997

Document Type

Article; Proceedings Paper

DOI Link

http://dx.doi.org/10.1023/a:1019121231815

Language

English

First Page

261

Last Page

267

WOS Identifier

WOS:A1997XE68300015

ISSN

1017-1398

Recommended Citation

"Homoclinic connections and numerical integration" (1997). Faculty Bibliography 1990s. 2117.
https://stars.library.ucf.edu/facultybib1990/2117