Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387030969> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W4387030969 abstract "Hybrid dynamical systems are systems which undergo both continuous and discrete transitions. As typical in dynamical analysis, an essential goal is to study the long-term behavior of these systems. In this work, we present two different novel approaches for studying these systems. The first approach is based on constructing an analog of the Frobenius-Perron (transport) operator for hybrid systems. Rather than tracking the evolution of a single trajectory, this operator encodes the asymptotic nature of an ensemble of trajectories. The second approach presented applies to an important subclass of hybrid systems, mechanical impact systems. We develop an analog of Lie-Poisson(-Suslov) reduction for left-invariant impact systems on Lie groups. In addition to the Hamiltonian (and constraints) being left-invariant, the impact surface must also be a right coset of a normal subgroup. This procedure allows a reduction from a $2n$-dimensional system to an $(n+1)$-dimensional one. We conclude the paper by presenting numerical results on a diverse array of applications." @default.
- W4387030969 created "2023-09-26" @default.
- W4387030969 creator A5000720807 @default.
- W4387030969 creator A5008323898 @default.
- W4387030969 creator A5057953310 @default.
- W4387030969 creator A5058510778 @default.
- W4387030969 creator A5072497180 @default.
- W4387030969 creator A5092938697 @default.
- W4387030969 date "2023-09-21" @default.
- W4387030969 modified "2023-09-27" @default.
- W4387030969 title "A Study of the Long-Term Behavior of Hybrid Systems with Symmetries via Reduction and the Frobenius-Perron Operator" @default.
- W4387030969 doi "https://doi.org/10.48550/arxiv.2309.12569" @default.
- W4387030969 hasPublicationYear "2023" @default.
- W4387030969 type Work @default.
- W4387030969 citedByCount "0" @default.
- W4387030969 crossrefType "posted-content" @default.
- W4387030969 hasAuthorship W4387030969A5000720807 @default.
- W4387030969 hasAuthorship W4387030969A5008323898 @default.
- W4387030969 hasAuthorship W4387030969A5057953310 @default.
- W4387030969 hasAuthorship W4387030969A5058510778 @default.
- W4387030969 hasAuthorship W4387030969A5072497180 @default.
- W4387030969 hasAuthorship W4387030969A5092938697 @default.
- W4387030969 hasBestOaLocation W43870309691 @default.
- W4387030969 hasConcept C100906024 @default.
- W4387030969 hasConcept C104317684 @default.
- W4387030969 hasConcept C105795698 @default.
- W4387030969 hasConcept C111335779 @default.
- W4387030969 hasConcept C118615104 @default.
- W4387030969 hasConcept C119857082 @default.
- W4387030969 hasConcept C121332964 @default.
- W4387030969 hasConcept C121770821 @default.
- W4387030969 hasConcept C126255220 @default.
- W4387030969 hasConcept C130787639 @default.
- W4387030969 hasConcept C134306372 @default.
- W4387030969 hasConcept C158448853 @default.
- W4387030969 hasConcept C17020691 @default.
- W4387030969 hasConcept C185592680 @default.
- W4387030969 hasConcept C187915474 @default.
- W4387030969 hasConcept C190470478 @default.
- W4387030969 hasConcept C202444582 @default.
- W4387030969 hasConcept C2524010 @default.
- W4387030969 hasConcept C33923547 @default.
- W4387030969 hasConcept C37914503 @default.
- W4387030969 hasConcept C41008148 @default.
- W4387030969 hasConcept C50897621 @default.
- W4387030969 hasConcept C55493867 @default.
- W4387030969 hasConcept C61797465 @default.
- W4387030969 hasConcept C62520636 @default.
- W4387030969 hasConcept C79379906 @default.
- W4387030969 hasConcept C85307737 @default.
- W4387030969 hasConcept C86339819 @default.
- W4387030969 hasConcept C96469262 @default.
- W4387030969 hasConceptScore W4387030969C100906024 @default.
- W4387030969 hasConceptScore W4387030969C104317684 @default.
- W4387030969 hasConceptScore W4387030969C105795698 @default.
- W4387030969 hasConceptScore W4387030969C111335779 @default.
- W4387030969 hasConceptScore W4387030969C118615104 @default.
- W4387030969 hasConceptScore W4387030969C119857082 @default.
- W4387030969 hasConceptScore W4387030969C121332964 @default.
- W4387030969 hasConceptScore W4387030969C121770821 @default.
- W4387030969 hasConceptScore W4387030969C126255220 @default.
- W4387030969 hasConceptScore W4387030969C130787639 @default.
- W4387030969 hasConceptScore W4387030969C134306372 @default.
- W4387030969 hasConceptScore W4387030969C158448853 @default.
- W4387030969 hasConceptScore W4387030969C17020691 @default.
- W4387030969 hasConceptScore W4387030969C185592680 @default.
- W4387030969 hasConceptScore W4387030969C187915474 @default.
- W4387030969 hasConceptScore W4387030969C190470478 @default.
- W4387030969 hasConceptScore W4387030969C202444582 @default.
- W4387030969 hasConceptScore W4387030969C2524010 @default.
- W4387030969 hasConceptScore W4387030969C33923547 @default.
- W4387030969 hasConceptScore W4387030969C37914503 @default.
- W4387030969 hasConceptScore W4387030969C41008148 @default.
- W4387030969 hasConceptScore W4387030969C50897621 @default.
- W4387030969 hasConceptScore W4387030969C55493867 @default.
- W4387030969 hasConceptScore W4387030969C61797465 @default.
- W4387030969 hasConceptScore W4387030969C62520636 @default.
- W4387030969 hasConceptScore W4387030969C79379906 @default.
- W4387030969 hasConceptScore W4387030969C85307737 @default.
- W4387030969 hasConceptScore W4387030969C86339819 @default.
- W4387030969 hasConceptScore W4387030969C96469262 @default.
- W4387030969 hasLocation W43870309691 @default.
- W4387030969 hasOpenAccess W4387030969 @default.
- W4387030969 hasPrimaryLocation W43870309691 @default.
- W4387030969 hasRelatedWork W1544403310 @default.
- W4387030969 hasRelatedWork W1975115542 @default.
- W4387030969 hasRelatedWork W1993050942 @default.
- W4387030969 hasRelatedWork W2087734572 @default.
- W4387030969 hasRelatedWork W2088544526 @default.
- W4387030969 hasRelatedWork W2767918626 @default.
- W4387030969 hasRelatedWork W3099641547 @default.
- W4387030969 hasRelatedWork W4230292203 @default.
- W4387030969 hasRelatedWork W4387030969 @default.
- W4387030969 hasRelatedWork W3021545438 @default.
- W4387030969 isParatext "false" @default.
- W4387030969 isRetracted "false" @default.
- W4387030969 workType "article" @default.