Matches in SemOpenAlex for { <https://semopenalex.org/work/W4323557213> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W4323557213 abstract "Generalized fractional maps of the orders 0 < alpha < 1 are Volterra difference equations of convolution type with kernels, which differences are absolutely summable, but the series of kernels are diverging. Commonly used in applications fractional (with the power-law kernels) and fractional difference (with the falling factorial kernels) maps of the orders 0 < alpha < 1 belong to this class of maps. We derived the algebraic equations which allow the calculation of bifurcation points of generalized fractional maps. We calculated the bifurcation points and drew bifurcation diagrams for the fractional and fractional difference logistic maps. Although the transition to chaos on individual trajectories in fractional maps may be characterized by the cascade of bifurcations type behavior and zero Lyapunov exponents, the results of our numerical simulations allow us to make a conjecture that the cascade of bifurcations scenarios of transition to chaos in generalized fractional maps and regular maps are similar, and the value of the generalized fractional Feigenbaum constant df is the same as the value of the regular Feigenbaum constant delta = 4.669...." @default.
- W4323557213 created "2023-03-09" @default.
- W4323557213 creator A5020226408 @default.
- W4323557213 creator A5021675748 @default.
- W4323557213 creator A5031847977 @default.
- W4323557213 date "2023-03-04" @default.
- W4323557213 modified "2023-09-29" @default.
- W4323557213 title "Bifurcations and transition to chaos in generalized fractional maps of the orders 0 < alpha < 1" @default.
- W4323557213 doi "https://doi.org/10.48550/arxiv.2303.02501" @default.
- W4323557213 hasPublicationYear "2023" @default.
- W4323557213 type Work @default.
- W4323557213 citedByCount "0" @default.
- W4323557213 crossrefType "posted-content" @default.
- W4323557213 hasAuthorship W4323557213A5020226408 @default.
- W4323557213 hasAuthorship W4323557213A5021675748 @default.
- W4323557213 hasAuthorship W4323557213A5031847977 @default.
- W4323557213 hasConcept C119857082 @default.
- W4323557213 hasConcept C121332964 @default.
- W4323557213 hasConcept C134306372 @default.
- W4323557213 hasConcept C143724316 @default.
- W4323557213 hasConcept C151730666 @default.
- W4323557213 hasConcept C154249771 @default.
- W4323557213 hasConcept C158622935 @default.
- W4323557213 hasConcept C18903297 @default.
- W4323557213 hasConcept C191544260 @default.
- W4323557213 hasConcept C199360897 @default.
- W4323557213 hasConcept C202444582 @default.
- W4323557213 hasConcept C2777027219 @default.
- W4323557213 hasConcept C2777299769 @default.
- W4323557213 hasConcept C2781349735 @default.
- W4323557213 hasConcept C33923547 @default.
- W4323557213 hasConcept C41008148 @default.
- W4323557213 hasConcept C45347329 @default.
- W4323557213 hasConcept C50644808 @default.
- W4323557213 hasConcept C62520636 @default.
- W4323557213 hasConcept C86803240 @default.
- W4323557213 hasConceptScore W4323557213C119857082 @default.
- W4323557213 hasConceptScore W4323557213C121332964 @default.
- W4323557213 hasConceptScore W4323557213C134306372 @default.
- W4323557213 hasConceptScore W4323557213C143724316 @default.
- W4323557213 hasConceptScore W4323557213C151730666 @default.
- W4323557213 hasConceptScore W4323557213C154249771 @default.
- W4323557213 hasConceptScore W4323557213C158622935 @default.
- W4323557213 hasConceptScore W4323557213C18903297 @default.
- W4323557213 hasConceptScore W4323557213C191544260 @default.
- W4323557213 hasConceptScore W4323557213C199360897 @default.
- W4323557213 hasConceptScore W4323557213C202444582 @default.
- W4323557213 hasConceptScore W4323557213C2777027219 @default.
- W4323557213 hasConceptScore W4323557213C2777299769 @default.
- W4323557213 hasConceptScore W4323557213C2781349735 @default.
- W4323557213 hasConceptScore W4323557213C33923547 @default.
- W4323557213 hasConceptScore W4323557213C41008148 @default.
- W4323557213 hasConceptScore W4323557213C45347329 @default.
- W4323557213 hasConceptScore W4323557213C50644808 @default.
- W4323557213 hasConceptScore W4323557213C62520636 @default.
- W4323557213 hasConceptScore W4323557213C86803240 @default.
- W4323557213 hasLocation W43235572131 @default.
- W4323557213 hasOpenAccess W4323557213 @default.
- W4323557213 hasPrimaryLocation W43235572131 @default.
- W4323557213 hasRelatedWork W1681883922 @default.
- W4323557213 hasRelatedWork W1989248120 @default.
- W4323557213 hasRelatedWork W2019004897 @default.
- W4323557213 hasRelatedWork W2204759409 @default.
- W4323557213 hasRelatedWork W2329575352 @default.
- W4323557213 hasRelatedWork W2905659518 @default.
- W4323557213 hasRelatedWork W2963526848 @default.
- W4323557213 hasRelatedWork W2966199516 @default.
- W4323557213 hasRelatedWork W4248686313 @default.
- W4323557213 hasRelatedWork W4313561095 @default.
- W4323557213 isParatext "false" @default.
- W4323557213 isRetracted "false" @default.
- W4323557213 workType "article" @default.