Matches in SemOpenAlex for { <https://semopenalex.org/work/W4200558532> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4200558532 abstract "Abstract We present in this paper a detailed study on the Markus–Yamabe conjecture in planar piecewise linear systems. We consider discontinuous piecewise linear systems with two zones separated by a straight line, in which every subsystem is asymptotically stable. We prove the existence of limit cycles under explicit parameter conditions and give more different counterexamples to the Markus-Yamabe conjecture in addition to the counterexamples given by Llibre and Menezes. In particular, we consider continuous planar piecewise linear systems. For such a system with n + 1 zones separated by n parallel straight lines in phase space, we prove that if each of subsystems is asymptotically stable, then this system has a globally asymptotically stable equilibrium point, therefore the Markus–Yamabe conjecture still holds. Some examples are given to illustrate the main results. Mathematics Subject Classification (2020) 34C05 · 34C07 · 37G15" @default.
- W4200558532 created "2021-12-31" @default.
- W4200558532 creator A5049130877 @default.
- W4200558532 creator A5088486032 @default.
- W4200558532 date "2021-12-30" @default.
- W4200558532 modified "2023-09-28" @default.
- W4200558532 title "Markus–Yamabe Conjecture for Asymptotic Stability of Planar Piecewise Linear Systems" @default.
- W4200558532 doi "https://doi.org/10.21203/rs.3.rs-1137750/v1" @default.
- W4200558532 hasPublicationYear "2021" @default.
- W4200558532 type Work @default.
- W4200558532 citedByCount "0" @default.
- W4200558532 crossrefType "posted-content" @default.
- W4200558532 hasAuthorship W4200558532A5049130877 @default.
- W4200558532 hasAuthorship W4200558532A5088486032 @default.
- W4200558532 hasBestOaLocation W42005585321 @default.
- W4200558532 hasConcept C111919701 @default.
- W4200558532 hasConcept C112972136 @default.
- W4200558532 hasConcept C118615104 @default.
- W4200558532 hasConcept C119857082 @default.
- W4200558532 hasConcept C121332964 @default.
- W4200558532 hasConcept C121684516 @default.
- W4200558532 hasConcept C134306372 @default.
- W4200558532 hasConcept C134786449 @default.
- W4200558532 hasConcept C151201525 @default.
- W4200558532 hasConcept C158622935 @default.
- W4200558532 hasConcept C162838799 @default.
- W4200558532 hasConcept C164660894 @default.
- W4200558532 hasConcept C17095337 @default.
- W4200558532 hasConcept C198352243 @default.
- W4200558532 hasConcept C202444582 @default.
- W4200558532 hasConcept C2524010 @default.
- W4200558532 hasConcept C2776799497 @default.
- W4200558532 hasConcept C2778572836 @default.
- W4200558532 hasConcept C2780990831 @default.
- W4200558532 hasConcept C33923547 @default.
- W4200558532 hasConcept C41008148 @default.
- W4200558532 hasConcept C41949839 @default.
- W4200558532 hasConcept C62520636 @default.
- W4200558532 hasConceptScore W4200558532C111919701 @default.
- W4200558532 hasConceptScore W4200558532C112972136 @default.
- W4200558532 hasConceptScore W4200558532C118615104 @default.
- W4200558532 hasConceptScore W4200558532C119857082 @default.
- W4200558532 hasConceptScore W4200558532C121332964 @default.
- W4200558532 hasConceptScore W4200558532C121684516 @default.
- W4200558532 hasConceptScore W4200558532C134306372 @default.
- W4200558532 hasConceptScore W4200558532C134786449 @default.
- W4200558532 hasConceptScore W4200558532C151201525 @default.
- W4200558532 hasConceptScore W4200558532C158622935 @default.
- W4200558532 hasConceptScore W4200558532C162838799 @default.
- W4200558532 hasConceptScore W4200558532C164660894 @default.
- W4200558532 hasConceptScore W4200558532C17095337 @default.
- W4200558532 hasConceptScore W4200558532C198352243 @default.
- W4200558532 hasConceptScore W4200558532C202444582 @default.
- W4200558532 hasConceptScore W4200558532C2524010 @default.
- W4200558532 hasConceptScore W4200558532C2776799497 @default.
- W4200558532 hasConceptScore W4200558532C2778572836 @default.
- W4200558532 hasConceptScore W4200558532C2780990831 @default.
- W4200558532 hasConceptScore W4200558532C33923547 @default.
- W4200558532 hasConceptScore W4200558532C41008148 @default.
- W4200558532 hasConceptScore W4200558532C41949839 @default.
- W4200558532 hasConceptScore W4200558532C62520636 @default.
- W4200558532 hasLocation W42005585321 @default.
- W4200558532 hasOpenAccess W4200558532 @default.
- W4200558532 hasPrimaryLocation W42005585321 @default.
- W4200558532 hasRelatedWork W1533138544 @default.
- W4200558532 hasRelatedWork W1971408836 @default.
- W4200558532 hasRelatedWork W2088972854 @default.
- W4200558532 hasRelatedWork W2126507098 @default.
- W4200558532 hasRelatedWork W2962690600 @default.
- W4200558532 hasRelatedWork W2963126344 @default.
- W4200558532 hasRelatedWork W2964858335 @default.
- W4200558532 hasRelatedWork W4200558532 @default.
- W4200558532 hasRelatedWork W4280562183 @default.
- W4200558532 hasRelatedWork W2502180613 @default.
- W4200558532 isParatext "false" @default.
- W4200558532 isRetracted "false" @default.
- W4200558532 workType "article" @default.