Matches in SemOpenAlex for { <https://semopenalex.org/work/W4322754181> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W4322754181 endingPage "107197" @default.
- W4322754181 startingPage "107197" @default.
- W4322754181 abstract "Stability and chaoticity in conservative Hamiltonian systems are analyzed using an indicator based on a generalization of the virtual work principle (VWP) for Riemannian manifolds. The geometrodynamic formalism obtained in this way is applied to define a mechanical manifold using the Jacobi metric, where the system trajectories are geodesics. The VWP for static mechanical equilibrium in Euclidean spaces is generalized and applied to trajectories in this manifold through geodesic equations derived from a Weyl transformation to this metric. We further interpret each trajectory of the system as a curve representing a non-stretchable string under tension derived from a potential function with constant length in this mechanical manifold, and analyze its stability through the fluctuation of an observable defined from the previous analysis. In this way, we can define a practical chaos indicator and find a sufficiency condition for a conservative dynamical system to have a regular dynamics. Several benchmark cases in two and three dimensions are presented as illustrations." @default.
- W4322754181 created "2023-03-03" @default.
- W4322754181 creator A5010364145 @default.
- W4322754181 creator A5019337230 @default.
- W4322754181 creator A5028197766 @default.
- W4322754181 creator A5029099160 @default.
- W4322754181 date "2023-06-01" @default.
- W4322754181 modified "2023-09-30" @default.
- W4322754181 title "Chaos indicator and integrability conditions from geometrodynamics" @default.
- W4322754181 cites W1973408830 @default.
- W4322754181 cites W1980372148 @default.
- W4322754181 cites W1994006347 @default.
- W4322754181 cites W1999465598 @default.
- W4322754181 cites W2004863047 @default.
- W4322754181 cites W2008539626 @default.
- W4322754181 cites W2012533093 @default.
- W4322754181 cites W2030666928 @default.
- W4322754181 cites W2038026589 @default.
- W4322754181 cites W2043966337 @default.
- W4322754181 cites W2046210386 @default.
- W4322754181 cites W2054754597 @default.
- W4322754181 cites W2055085818 @default.
- W4322754181 cites W2064815463 @default.
- W4322754181 cites W2065912383 @default.
- W4322754181 cites W2073868859 @default.
- W4322754181 cites W2089759714 @default.
- W4322754181 cites W2090602755 @default.
- W4322754181 cites W2128454427 @default.
- W4322754181 cites W2157528880 @default.
- W4322754181 cites W2312378499 @default.
- W4322754181 cites W2323408555 @default.
- W4322754181 cites W3098280016 @default.
- W4322754181 cites W3099246320 @default.
- W4322754181 cites W4313418130 @default.
- W4322754181 cites W2090568630 @default.
- W4322754181 doi "https://doi.org/10.1016/j.cnsns.2023.107197" @default.
- W4322754181 hasPublicationYear "2023" @default.
- W4322754181 type Work @default.
- W4322754181 citedByCount "0" @default.
- W4322754181 crossrefType "journal-article" @default.
- W4322754181 hasAuthorship W4322754181A5010364145 @default.
- W4322754181 hasAuthorship W4322754181A5019337230 @default.
- W4322754181 hasAuthorship W4322754181A5028197766 @default.
- W4322754181 hasAuthorship W4322754181A5029099160 @default.
- W4322754181 hasBestOaLocation W43227541811 @default.
- W4322754181 hasConcept C121332964 @default.
- W4322754181 hasConcept C127413603 @default.
- W4322754181 hasConcept C134306372 @default.
- W4322754181 hasConcept C165818556 @default.
- W4322754181 hasConcept C2779593128 @default.
- W4322754181 hasConcept C32848918 @default.
- W4322754181 hasConcept C33923547 @default.
- W4322754181 hasConcept C529865628 @default.
- W4322754181 hasConcept C62520636 @default.
- W4322754181 hasConcept C74650414 @default.
- W4322754181 hasConcept C78519656 @default.
- W4322754181 hasConceptScore W4322754181C121332964 @default.
- W4322754181 hasConceptScore W4322754181C127413603 @default.
- W4322754181 hasConceptScore W4322754181C134306372 @default.
- W4322754181 hasConceptScore W4322754181C165818556 @default.
- W4322754181 hasConceptScore W4322754181C2779593128 @default.
- W4322754181 hasConceptScore W4322754181C32848918 @default.
- W4322754181 hasConceptScore W4322754181C33923547 @default.
- W4322754181 hasConceptScore W4322754181C529865628 @default.
- W4322754181 hasConceptScore W4322754181C62520636 @default.
- W4322754181 hasConceptScore W4322754181C74650414 @default.
- W4322754181 hasConceptScore W4322754181C78519656 @default.
- W4322754181 hasLocation W43227541811 @default.
- W4322754181 hasLocation W43227541812 @default.
- W4322754181 hasLocation W43227541813 @default.
- W4322754181 hasOpenAccess W4322754181 @default.
- W4322754181 hasPrimaryLocation W43227541811 @default.
- W4322754181 hasRelatedWork W2046244833 @default.
- W4322754181 hasRelatedWork W2160296092 @default.
- W4322754181 hasRelatedWork W2349059253 @default.
- W4322754181 hasRelatedWork W2946352054 @default.
- W4322754181 hasRelatedWork W2950657073 @default.
- W4322754181 hasRelatedWork W2999284236 @default.
- W4322754181 hasRelatedWork W4287668896 @default.
- W4322754181 hasRelatedWork W4299996628 @default.
- W4322754181 hasRelatedWork W4302409903 @default.
- W4322754181 hasRelatedWork W3127827089 @default.
- W4322754181 hasVolume "121" @default.
- W4322754181 isParatext "false" @default.
- W4322754181 isRetracted "false" @default.
- W4322754181 workType "article" @default.