Matches in SemOpenAlex for { <https://semopenalex.org/work/W4292955893> ?p ?o ?g. }
- W4292955893 endingPage "1627" @default.
- W4292955893 startingPage "1627" @default.
- W4292955893 abstract "The mapping relationship between the symmetry and the conserved quantity inspired researchers to seek the conserved quantity from the viewpoint of the symmetry for the dynamic systems. However, the symmetry breaking in the dynamic systems is more common than the symmetry in the engineering. Thus, as the supplement of our previous work on the symmetry breaking of infinite-dimensional deterministic dynamic systems, the dynamical symmetry breaking of infinite-dimensional stochastic systems is discussed in this paper. Following a brief review of the stochastic (multi-)symplectic for the dynamic system excited by stochastic white noise, two types of stochastic symmetry breaking factors, including the general stochastic excitation and the general stochastic parameters of the infinite-dimensional dynamic systems, are investigated in detail. We find that both the general stochastic excitation and the general stochastic parameters will not break the local multi-symplectic structure of the dynamic systems. However, the local energy conservation law will be broken by the general stochastic excitation, as well as by the stochastic parameters, which are given by the local energy dissipation in this paper. To illustrate the validity of the analytical results, the stochastic vibration of a clamped single-walled carbon nanotube is investigated and the critical condition of the appearance of chaos is obtained. The theoretical results obtained can be used to guide us to construct the structure-preserving method for the stochastic dynamic systems." @default.
- W4292955893 created "2022-08-24" @default.
- W4292955893 creator A5013297039 @default.
- W4292955893 creator A5063254101 @default.
- W4292955893 creator A5088081436 @default.
- W4292955893 date "2022-08-07" @default.
- W4292955893 modified "2023-09-25" @default.
- W4292955893 title "Dynamical Symmetry Breaking of Infinite-Dimensional Stochastic System" @default.
- W4292955893 cites W1830333769 @default.
- W4292955893 cites W1973142284 @default.
- W4292955893 cites W1975034694 @default.
- W4292955893 cites W1989798444 @default.
- W4292955893 cites W1992077732 @default.
- W4292955893 cites W1996413343 @default.
- W4292955893 cites W2003277035 @default.
- W4292955893 cites W2007263745 @default.
- W4292955893 cites W2015378382 @default.
- W4292955893 cites W2016516344 @default.
- W4292955893 cites W2018259456 @default.
- W4292955893 cites W2032090338 @default.
- W4292955893 cites W2049942084 @default.
- W4292955893 cites W2051709037 @default.
- W4292955893 cites W2060511679 @default.
- W4292955893 cites W2073442686 @default.
- W4292955893 cites W2078916875 @default.
- W4292955893 cites W2080328631 @default.
- W4292955893 cites W2089297194 @default.
- W4292955893 cites W2091368485 @default.
- W4292955893 cites W2091563203 @default.
- W4292955893 cites W2094963548 @default.
- W4292955893 cites W2112405917 @default.
- W4292955893 cites W2118662912 @default.
- W4292955893 cites W2133452478 @default.
- W4292955893 cites W2147184613 @default.
- W4292955893 cites W2155070207 @default.
- W4292955893 cites W2157338954 @default.
- W4292955893 cites W2178962940 @default.
- W4292955893 cites W2328212153 @default.
- W4292955893 cites W2892905493 @default.
- W4292955893 cites W2970774608 @default.
- W4292955893 cites W2999160148 @default.
- W4292955893 cites W3000169322 @default.
- W4292955893 cites W3007227260 @default.
- W4292955893 cites W3008547377 @default.
- W4292955893 cites W3101703010 @default.
- W4292955893 cites W3107325899 @default.
- W4292955893 cites W3128472521 @default.
- W4292955893 cites W3132497568 @default.
- W4292955893 cites W3143905936 @default.
- W4292955893 cites W3160345040 @default.
- W4292955893 cites W3173708594 @default.
- W4292955893 cites W3182297139 @default.
- W4292955893 cites W3191269626 @default.
- W4292955893 cites W3192326945 @default.
- W4292955893 cites W3217394534 @default.
- W4292955893 cites W4200388775 @default.
- W4292955893 cites W4205663850 @default.
- W4292955893 cites W4226301142 @default.
- W4292955893 cites W4226377934 @default.
- W4292955893 cites W4236575607 @default.
- W4292955893 cites W4255829373 @default.
- W4292955893 cites W4282922408 @default.
- W4292955893 doi "https://doi.org/10.3390/sym14081627" @default.
- W4292955893 hasPublicationYear "2022" @default.
- W4292955893 type Work @default.
- W4292955893 citedByCount "3" @default.
- W4292955893 countsByYear W42929558932023 @default.
- W4292955893 crossrefType "journal-article" @default.
- W4292955893 hasAuthorship W4292955893A5013297039 @default.
- W4292955893 hasAuthorship W4292955893A5063254101 @default.
- W4292955893 hasAuthorship W4292955893A5088081436 @default.
- W4292955893 hasBestOaLocation W42929558931 @default.
- W4292955893 hasConcept C105795698 @default.
- W4292955893 hasConcept C121332964 @default.
- W4292955893 hasConcept C121864883 @default.
- W4292955893 hasConcept C127491075 @default.
- W4292955893 hasConcept C134306372 @default.
- W4292955893 hasConcept C168619227 @default.
- W4292955893 hasConcept C204795200 @default.
- W4292955893 hasConcept C2524010 @default.
- W4292955893 hasConcept C2779886137 @default.
- W4292955893 hasConcept C33923547 @default.
- W4292955893 hasConcept C62520636 @default.
- W4292955893 hasConcept C79379906 @default.
- W4292955893 hasConcept C8272713 @default.
- W4292955893 hasConceptScore W4292955893C105795698 @default.
- W4292955893 hasConceptScore W4292955893C121332964 @default.
- W4292955893 hasConceptScore W4292955893C121864883 @default.
- W4292955893 hasConceptScore W4292955893C127491075 @default.
- W4292955893 hasConceptScore W4292955893C134306372 @default.
- W4292955893 hasConceptScore W4292955893C168619227 @default.
- W4292955893 hasConceptScore W4292955893C204795200 @default.
- W4292955893 hasConceptScore W4292955893C2524010 @default.
- W4292955893 hasConceptScore W4292955893C2779886137 @default.
- W4292955893 hasConceptScore W4292955893C33923547 @default.
- W4292955893 hasConceptScore W4292955893C62520636 @default.
- W4292955893 hasConceptScore W4292955893C79379906 @default.
- W4292955893 hasConceptScore W4292955893C8272713 @default.