Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313126078> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W4313126078 endingPage "30" @default.
- W4313126078 startingPage "25" @default.
- W4313126078 abstract "We present several recent results and generalizations that have been obtained in the theory of collision-freeness studied in Zerz and Herty (2019). A nonlinear ODE system ẋ(t) = f(x(t)) is called collision-free if the solution to the initial value problem with x(0) = x0 has distinct components for all times t whenever the initial state x0 has distinct components. This is an important structural property of particle systems. Here, we address the case where the state of the i-th particle has d components xi1, ..., xid, and a collision occurs if there exists some time t and i ≠ j such that xik(t) = xjk(t) for all 1 ≤ k ≤ d. Thus, the already known case corresponds to d = 1. In this paper, we characterize d-collision-freeness for linear, polynomially nonlinear, and general C1-systems. Moreover, we show that d-collision-freeness implies D-collision-freeness for all multiples D of d that divide the overall state space dimension. In particular, 1-collision-freeness implies d-collision-freeness. Finally, we address the connection between permutation symmetry and d-collision-freeness." @default.
- W4313126078 created "2023-01-06" @default.
- W4313126078 creator A5030773854 @default.
- W4313126078 creator A5038401508 @default.
- W4313126078 creator A5048451043 @default.
- W4313126078 creator A5060941777 @default.
- W4313126078 date "2022-01-01" @default.
- W4313126078 modified "2023-09-25" @default.
- W4313126078 title "On d-Collision-Free Dynamical Systems" @default.
- W4313126078 cites W2014690577 @default.
- W4313126078 cites W2103696073 @default.
- W4313126078 cites W2192663825 @default.
- W4313126078 cites W2397671592 @default.
- W4313126078 cites W2561695925 @default.
- W4313126078 cites W2766848980 @default.
- W4313126078 cites W2963249800 @default.
- W4313126078 cites W2991122744 @default.
- W4313126078 cites W3003604853 @default.
- W4313126078 cites W3031995197 @default.
- W4313126078 cites W3091027552 @default.
- W4313126078 doi "https://doi.org/10.1016/j.ifacol.2022.11.303" @default.
- W4313126078 hasPublicationYear "2022" @default.
- W4313126078 type Work @default.
- W4313126078 citedByCount "0" @default.
- W4313126078 crossrefType "journal-article" @default.
- W4313126078 hasAuthorship W4313126078A5030773854 @default.
- W4313126078 hasAuthorship W4313126078A5038401508 @default.
- W4313126078 hasAuthorship W4313126078A5048451043 @default.
- W4313126078 hasAuthorship W4313126078A5060941777 @default.
- W4313126078 hasBestOaLocation W43131260781 @default.
- W4313126078 hasConcept C105795698 @default.
- W4313126078 hasConcept C11413529 @default.
- W4313126078 hasConcept C121332964 @default.
- W4313126078 hasConcept C121704057 @default.
- W4313126078 hasConcept C13355873 @default.
- W4313126078 hasConcept C158622935 @default.
- W4313126078 hasConcept C202444582 @default.
- W4313126078 hasConcept C21308566 @default.
- W4313126078 hasConcept C24890656 @default.
- W4313126078 hasConcept C2524010 @default.
- W4313126078 hasConcept C33676613 @default.
- W4313126078 hasConcept C33923547 @default.
- W4313126078 hasConcept C38652104 @default.
- W4313126078 hasConcept C41008148 @default.
- W4313126078 hasConcept C48103436 @default.
- W4313126078 hasConcept C62520636 @default.
- W4313126078 hasConcept C72434380 @default.
- W4313126078 hasConceptScore W4313126078C105795698 @default.
- W4313126078 hasConceptScore W4313126078C11413529 @default.
- W4313126078 hasConceptScore W4313126078C121332964 @default.
- W4313126078 hasConceptScore W4313126078C121704057 @default.
- W4313126078 hasConceptScore W4313126078C13355873 @default.
- W4313126078 hasConceptScore W4313126078C158622935 @default.
- W4313126078 hasConceptScore W4313126078C202444582 @default.
- W4313126078 hasConceptScore W4313126078C21308566 @default.
- W4313126078 hasConceptScore W4313126078C24890656 @default.
- W4313126078 hasConceptScore W4313126078C2524010 @default.
- W4313126078 hasConceptScore W4313126078C33676613 @default.
- W4313126078 hasConceptScore W4313126078C33923547 @default.
- W4313126078 hasConceptScore W4313126078C38652104 @default.
- W4313126078 hasConceptScore W4313126078C41008148 @default.
- W4313126078 hasConceptScore W4313126078C48103436 @default.
- W4313126078 hasConceptScore W4313126078C62520636 @default.
- W4313126078 hasConceptScore W4313126078C72434380 @default.
- W4313126078 hasIssue "34" @default.
- W4313126078 hasLocation W43131260781 @default.
- W4313126078 hasOpenAccess W4313126078 @default.
- W4313126078 hasPrimaryLocation W43131260781 @default.
- W4313126078 hasRelatedWork W1607154928 @default.
- W4313126078 hasRelatedWork W1981482516 @default.
- W4313126078 hasRelatedWork W2035722101 @default.
- W4313126078 hasRelatedWork W2080397230 @default.
- W4313126078 hasRelatedWork W2085026217 @default.
- W4313126078 hasRelatedWork W2105325102 @default.
- W4313126078 hasRelatedWork W2170802669 @default.
- W4313126078 hasRelatedWork W2356056792 @default.
- W4313126078 hasRelatedWork W2783449121 @default.
- W4313126078 hasRelatedWork W4327724964 @default.
- W4313126078 hasVolume "55" @default.
- W4313126078 isParatext "false" @default.
- W4313126078 isRetracted "false" @default.
- W4313126078 workType "article" @default.