Fast Lyapunov Indicators OFLI and OMEGNO: Their Relationship and Special Features

Autor:	V. A. Shefer, A. M. Koksin
Rok vydání:	2016
Předmět:	Lyapunov function Physics symbols.namesake Planar Exponential growth 010308 nuclear & particles physics 0103 physical sciences symbols Base function General Physics and Astronomy Applied mathematics 010303 astronomy & astrophysics 01 natural sciences
Zdroj:	Russian Physics Journal. 59:71-75
ISSN:	1573-9228 1064-8887
DOI:	10.1007/s11182-016-0739-2
Popis:	The orthogonal fast Lyapunov indicator (OFLI) and the modification of the mean exponential growth factor of nearby orbits (MEGNO) proposed recently and called the orthogonal MEGNO indicator (OMEGNO) are compared theoretically and numerically. It is shown that these indicators are expressed in terms of the same base function. Moreover, the OMEGNO, as well as the OFLI, is expressed analytically through the base function. A numerical comparison is performed on examples of studying the dynamics in the planar circular restricted three-body problem. These examples help one to understand the special features in the performance of both indicators.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d17b4f57a43206aa077f10a4b2f00140 https://doi.org/10.1007/s11182-016-0739-2 Zobrazit plný text záznamu Plný text ve formátu PDF