000015962 001__ 15962
000015962 005__ 20161115135334.0
000015962 04107 $$aeng
000015962 046__ $$k2013-06-12
000015962 100__ $$aDumitru, D.
000015962 24500 $$aFast Detection of Chaotic Or Regular Behavior of Double Pendulum System: Application of the Fast Norm Vector Indicator Method

000015962 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015962 260__ $$bNational Technical University of Athens, 2013
000015962 506__ $$arestricted
000015962 520__ $$2eng$$aIt is well known that for non-linear Hamiltonian systems there exist ordered regions with quasi-periodic orbits and regions with chaotic orbits. Usually, these regions are distributed in the phase space in very complicated ways, which often makes it very difficult to distinguish between them, especially when we are dealing with many degrees of freedom. Recently, a new, very fast and easy to compute indicator of the chaotic or ordered nature of orbits has been introduced by Zotos (2012), the so-called "Fast Norm Vector Indicator (FNVI)". Using the double pendulum system, in the paper we present a detailed numerical study comporting the advantages and the drawbacks of the FNVI to those of the Smaller Alignment Index (SALI), a reliable indicator of chaos and order in Hamiltonian systems. Our effort was focused both on the traditional behavior of the FNVI for regular and fully developed chaos but on the "sticky" orbits and on the quantitative criterion proposed by Zotos, too.

000015962 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015962 653__ $$aDouble Pendulum Dynamics, Indicators of Regularity and Chaos.

000015962 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015962 720__ $$aDumitru, D.
000015962 8560_ $$ffischerc@itam.cas.cz
000015962 8564_ $$s842805$$uhttps://invenio.itam.cas.cz/record/15962/files/2022.pdf$$yOriginal version of the author's contribution as presented on CD, section: SC-RS 05 COMPUTATIONAL SOLID AND STRUCTURAL MECHANICS
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000015962 962__ $$r15525
000015962 980__ $$aPAPER