FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2989968489> ?p ?o ?g. }

• W2989968489 endingPage "4855" @default.
• W2989968489 startingPage "4816" @default.
• W2989968489 abstract "We study the parameter planes of certain one-dimensional, dynamically-defined slices of holomorphic families of entire and meromorphic transcendental maps of finite type. Our planes are defined by constraining the orbits of all but one of the singular values, and leaving free one asymptotic value. We study the structure of the regions of parameters, which we call shell components, for which the free asymptotic value tends to an attracting cycle of non-constant multiplier. The exponential and the tangent families are examples that have been studied in detail, and the hyperbolic components in those parameter planes are shell components. Our results apply to slices of both entire and meromorphic maps. We prove that shell components are simply connected, have a locally connected boundary and have no center, i.e., no parameter value for which the cycle is superattracting. Instead, there is a unique parameter in the boundary, the virtual center, which plays the same role. For entire slices, the virtual center is always at infinity, while for meromorphic ones it maybe finite or infinite. In the dynamical plane we prove, among other results, that the basins of attraction which contain only one asymptotic value and no critical points are simply connected. Our dynamical plane results apply without the restriction of finite type." @default.
• W2989968489 created "2019-12-05" @default.
• W2989968489 creator A5016075578 @default.
• W2989968489 creator A5027474600 @default.
• W2989968489 date "2020-07-13" @default.
• W2989968489 modified "2023-10-06" @default.
• W2989968489 title "Stable Components in the Parameter Plane of Transcendental Functions Of Finite Type" @default.
• W2989968489 cites W141117032 @default.
• W2989968489 cites W1508920883 @default.
• W2989968489 cites W1564099312 @default.
• W2989968489 cites W1700084322 @default.
• W2989968489 cites W1990392475 @default.
• W2989968489 cites W2003584606 @default.
• W2989968489 cites W2006686695 @default.
• W2989968489 cites W2009598767 @default.
• W2989968489 cites W2010296709 @default.
• W2989968489 cites W2010438625 @default.
• W2989968489 cites W2011962615 @default.
• W2989968489 cites W2019306449 @default.
• W2989968489 cites W2019661995 @default.
• W2989968489 cites W2037706686 @default.
• W2989968489 cites W2058013760 @default.
• W2989968489 cites W2064685239 @default.
• W2989968489 cites W2072386919 @default.
• W2989968489 cites W2077814207 @default.
• W2989968489 cites W2078306927 @default.
• W2989968489 cites W2080803264 @default.
• W2989968489 cites W2084372123 @default.
• W2989968489 cites W2093072253 @default.
• W2989968489 cites W2102775190 @default.
• W2989968489 cites W2106118166 @default.
• W2989968489 cites W2119331990 @default.
• W2989968489 cites W2165853527 @default.
• W2989968489 cites W2170017465 @default.
• W2989968489 cites W2244952322 @default.
• W2989968489 cites W2316549649 @default.
• W2989968489 cites W2606173568 @default.
• W2989968489 cites W2621948179 @default.
• W2989968489 cites W2765816835 @default.
• W2989968489 cites W2956366577 @default.
• W2989968489 cites W2963037515 @default.
• W2989968489 cites W2963787288 @default.
• W2989968489 cites W3081642790 @default.
• W2989968489 cites W3102739121 @default.
• W2989968489 cites W3119529845 @default.
• W2989968489 cites W4252631589 @default.
• W2989968489 cites W4253111115 @default.
• W2989968489 cites W4300560408 @default.
• W2989968489 doi "https://doi.org/10.1007/s12220-020-00458-3" @default.
• W2989968489 hasPublicationYear "2020" @default.
• W2989968489 type Work @default.
• W2989968489 sameAs 2989968489 @default.
• W2989968489 citedByCount "7" @default.
• W2989968489 countsByYear W29899684892017 @default.
• W2989968489 countsByYear W29899684892019 @default.
• W2989968489 countsByYear W29899684892020 @default.
• W2989968489 countsByYear W29899684892021 @default.
• W2989968489 countsByYear W29899684892022 @default.
• W2989968489 crossrefType "journal-article" @default.
• W2989968489 hasAuthorship W2989968489A5016075578 @default.
• W2989968489 hasAuthorship W2989968489A5027474600 @default.
• W2989968489 hasBestOaLocation W29899684892 @default.
• W2989968489 hasConcept C134306372 @default.
• W2989968489 hasConcept C138187205 @default.
• W2989968489 hasConcept C179117685 @default.
• W2989968489 hasConcept C190333341 @default.
• W2989968489 hasConcept C202444582 @default.
• W2989968489 hasConcept C204575570 @default.
• W2989968489 hasConcept C2524010 @default.
• W2989968489 hasConcept C33923547 @default.
• W2989968489 hasConcept C62354387 @default.
• W2989968489 hasConceptScore W2989968489C134306372 @default.
• W2989968489 hasConceptScore W2989968489C138187205 @default.
• W2989968489 hasConceptScore W2989968489C179117685 @default.
• W2989968489 hasConceptScore W2989968489C190333341 @default.
• W2989968489 hasConceptScore W2989968489C202444582 @default.
• W2989968489 hasConceptScore W2989968489C204575570 @default.
• W2989968489 hasConceptScore W2989968489C2524010 @default.
• W2989968489 hasConceptScore W2989968489C33923547 @default.
• W2989968489 hasConceptScore W2989968489C62354387 @default.
• W2989968489 hasIssue "5" @default.
• W2989968489 hasLocation W29899684891 @default.
• W2989968489 hasLocation W29899684892 @default.
• W2989968489 hasLocation W29899684893 @default.
• W2989968489 hasLocation W29899684894 @default.
• W2989968489 hasOpenAccess W2989968489 @default.
• W2989968489 hasPrimaryLocation W29899684891 @default.
• W2989968489 hasRelatedWork W1535526514 @default.
• W2989968489 hasRelatedWork W1974678063 @default.
• W2989968489 hasRelatedWork W1986513145 @default.
• W2989968489 hasRelatedWork W199711910 @default.
• W2989968489 hasRelatedWork W2291900739 @default.
• W2989968489 hasRelatedWork W2317088166 @default.
• W2989968489 hasRelatedWork W2324581342 @default.
• W2989968489 hasRelatedWork W2406798250 @default.
• W2989968489 hasRelatedWork W2408002123 @default.
• W2989968489 hasRelatedWork W2670322170 @default.
• W2989968489 hasRelatedWork W2808340931 @default.

• next