Matches in SemOpenAlex for { <https://semopenalex.org/work/W4378715862> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W4378715862 endingPage "4154" @default.
- W4378715862 startingPage "4139" @default.
- W4378715862 abstract "<abstract><p>In this paper, a three-molecule autocatalytic Schnakenberg model with cross-diffusion is established, the instability of bifurcating periodic solutions caused by diffusion is studied, that is, diffusion can destabilize the stable periodic solutions of the ordinary differential equation (ODE) system. First, utilizing the local Hopf bifurcation theory, the central manifold theory, the normal form method and the regular perturbation theory of the infinite dimensional dynamical system, the stability of periodic solutions for the ODE system is discussed. Second, for this model, according to the implicit function existence theorem and Floquet theory, the Turing instability of spatially homogeneous Hopf bifurcating periodic solutions is studied. It is proved that the otherwise stable Hopf bifurcating periodic solutions in the ODE system produces Turing instability in the Schnakenberg model with cross-diffusion. Finally, through numerical simulations, it is verified that Turing instability of periodic solutions is determined by cross-diffusion rates.</p></abstract>" @default.
- W4378715862 created "2023-05-30" @default.
- W4378715862 creator A5032223248 @default.
- W4378715862 creator A5077335712 @default.
- W4378715862 date "2023-01-01" @default.
- W4378715862 modified "2023-09-23" @default.
- W4378715862 title "Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions" @default.
- W4378715862 cites W1560060148 @default.
- W4378715862 cites W1965907564 @default.
- W4378715862 cites W1982123840 @default.
- W4378715862 cites W1986321025 @default.
- W4378715862 cites W1987748653 @default.
- W4378715862 cites W1989889924 @default.
- W4378715862 cites W2011644038 @default.
- W4378715862 cites W2025683255 @default.
- W4378715862 cites W2029870529 @default.
- W4378715862 cites W2033596376 @default.
- W4378715862 cites W2038105662 @default.
- W4378715862 cites W2043713410 @default.
- W4378715862 cites W2080748624 @default.
- W4378715862 cites W2083153457 @default.
- W4378715862 cites W2087345068 @default.
- W4378715862 cites W2122824739 @default.
- W4378715862 cites W2563603036 @default.
- W4378715862 cites W3126404422 @default.
- W4378715862 cites W4205369869 @default.
- W4378715862 cites W4283120635 @default.
- W4378715862 doi "https://doi.org/10.3934/era.2023211" @default.
- W4378715862 hasPublicationYear "2023" @default.
- W4378715862 type Work @default.
- W4378715862 citedByCount "0" @default.
- W4378715862 crossrefType "journal-article" @default.
- W4378715862 hasAuthorship W4378715862A5032223248 @default.
- W4378715862 hasAuthorship W4378715862A5077335712 @default.
- W4378715862 hasBestOaLocation W43787158621 @default.
- W4378715862 hasConcept C121332964 @default.
- W4378715862 hasConcept C134306372 @default.
- W4378715862 hasConcept C155092403 @default.
- W4378715862 hasConcept C158622935 @default.
- W4378715862 hasConcept C172435161 @default.
- W4378715862 hasConcept C207821765 @default.
- W4378715862 hasConcept C2781349735 @default.
- W4378715862 hasConcept C33923547 @default.
- W4378715862 hasConcept C34862557 @default.
- W4378715862 hasConcept C51544822 @default.
- W4378715862 hasConcept C55649039 @default.
- W4378715862 hasConcept C57879066 @default.
- W4378715862 hasConcept C62520636 @default.
- W4378715862 hasConcept C74774103 @default.
- W4378715862 hasConcept C78045399 @default.
- W4378715862 hasConcept C85075877 @default.
- W4378715862 hasConceptScore W4378715862C121332964 @default.
- W4378715862 hasConceptScore W4378715862C134306372 @default.
- W4378715862 hasConceptScore W4378715862C155092403 @default.
- W4378715862 hasConceptScore W4378715862C158622935 @default.
- W4378715862 hasConceptScore W4378715862C172435161 @default.
- W4378715862 hasConceptScore W4378715862C207821765 @default.
- W4378715862 hasConceptScore W4378715862C2781349735 @default.
- W4378715862 hasConceptScore W4378715862C33923547 @default.
- W4378715862 hasConceptScore W4378715862C34862557 @default.
- W4378715862 hasConceptScore W4378715862C51544822 @default.
- W4378715862 hasConceptScore W4378715862C55649039 @default.
- W4378715862 hasConceptScore W4378715862C57879066 @default.
- W4378715862 hasConceptScore W4378715862C62520636 @default.
- W4378715862 hasConceptScore W4378715862C74774103 @default.
- W4378715862 hasConceptScore W4378715862C78045399 @default.
- W4378715862 hasConceptScore W4378715862C85075877 @default.
- W4378715862 hasIssue "7" @default.
- W4378715862 hasLocation W43787158621 @default.
- W4378715862 hasOpenAccess W4378715862 @default.
- W4378715862 hasPrimaryLocation W43787158621 @default.
- W4378715862 hasRelatedWork W2021726047 @default.
- W4378715862 hasRelatedWork W2029988578 @default.
- W4378715862 hasRelatedWork W2085252636 @default.
- W4378715862 hasRelatedWork W2092688005 @default.
- W4378715862 hasRelatedWork W2103743746 @default.
- W4378715862 hasRelatedWork W2143912965 @default.
- W4378715862 hasRelatedWork W2463862655 @default.
- W4378715862 hasRelatedWork W2808846169 @default.
- W4378715862 hasRelatedWork W2897574725 @default.
- W4378715862 hasRelatedWork W4378715862 @default.
- W4378715862 hasVolume "31" @default.
- W4378715862 isParatext "false" @default.
- W4378715862 isRetracted "false" @default.
- W4378715862 workType "article" @default.