Matches in SemOpenAlex for { <https://semopenalex.org/work/W2286131808> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2286131808 abstract "In this chapter we consider several classes of dynamical systems in low-dimensional spaces. This essentially means dimension 1 for maps and dimension 2 for flows. In particular, we consider homeomorphisms and diffeomorphisms of the circle, continuous maps of a compact interval and flows defined by autonomous differential equations in the plane. For the orientation-preserving homeomorphisms of the circle, we consider the notion of rotation number and we describe the behavior of the orbits depending on whether it is rational or irrational. We also show that any sufficiently regular orientation-preserving diffeomorphism of the circle with irrational rotation number is topologically conjugate to a rotation. For the continuous maps of an interval, we study the existence of periodic points and we establish Sharkovsky’s theorem relating the existence of periodic points with different periods. Finally, we establish the Poincare–Bendixson theorem for differential equations in the plane." @default.
- W2286131808 created "2016-06-24" @default.
- W2286131808 creator A5058670059 @default.
- W2286131808 creator A5070562969 @default.
- W2286131808 date "2013-01-01" @default.
- W2286131808 modified "2023-09-25" @default.
- W2286131808 title "Low-Dimensional Dynamics" @default.
- W2286131808 doi "https://doi.org/10.1007/978-1-4471-4835-7_4" @default.
- W2286131808 hasPublicationYear "2013" @default.
- W2286131808 type Work @default.
- W2286131808 sameAs 2286131808 @default.
- W2286131808 citedByCount "0" @default.
- W2286131808 crossrefType "book-chapter" @default.
- W2286131808 hasAuthorship W2286131808A5058670059 @default.
- W2286131808 hasAuthorship W2286131808A5070562969 @default.
- W2286131808 hasConcept C114614502 @default.
- W2286131808 hasConcept C121332964 @default.
- W2286131808 hasConcept C134306372 @default.
- W2286131808 hasConcept C135007989 @default.
- W2286131808 hasConcept C16345878 @default.
- W2286131808 hasConcept C165263651 @default.
- W2286131808 hasConcept C17825722 @default.
- W2286131808 hasConcept C202444582 @default.
- W2286131808 hasConcept C2524010 @default.
- W2286131808 hasConcept C2778067643 @default.
- W2286131808 hasConcept C33676613 @default.
- W2286131808 hasConcept C33923547 @default.
- W2286131808 hasConcept C33962884 @default.
- W2286131808 hasConcept C47556283 @default.
- W2286131808 hasConcept C62520636 @default.
- W2286131808 hasConcept C74050887 @default.
- W2286131808 hasConcept C79379906 @default.
- W2286131808 hasConcept C93226319 @default.
- W2286131808 hasConcept C94931360 @default.
- W2286131808 hasConcept C97355855 @default.
- W2286131808 hasConceptScore W2286131808C114614502 @default.
- W2286131808 hasConceptScore W2286131808C121332964 @default.
- W2286131808 hasConceptScore W2286131808C134306372 @default.
- W2286131808 hasConceptScore W2286131808C135007989 @default.
- W2286131808 hasConceptScore W2286131808C16345878 @default.
- W2286131808 hasConceptScore W2286131808C165263651 @default.
- W2286131808 hasConceptScore W2286131808C17825722 @default.
- W2286131808 hasConceptScore W2286131808C202444582 @default.
- W2286131808 hasConceptScore W2286131808C2524010 @default.
- W2286131808 hasConceptScore W2286131808C2778067643 @default.
- W2286131808 hasConceptScore W2286131808C33676613 @default.
- W2286131808 hasConceptScore W2286131808C33923547 @default.
- W2286131808 hasConceptScore W2286131808C33962884 @default.
- W2286131808 hasConceptScore W2286131808C47556283 @default.
- W2286131808 hasConceptScore W2286131808C62520636 @default.
- W2286131808 hasConceptScore W2286131808C74050887 @default.
- W2286131808 hasConceptScore W2286131808C79379906 @default.
- W2286131808 hasConceptScore W2286131808C93226319 @default.
- W2286131808 hasConceptScore W2286131808C94931360 @default.
- W2286131808 hasConceptScore W2286131808C97355855 @default.
- W2286131808 hasLocation W22861318081 @default.
- W2286131808 hasOpenAccess W2286131808 @default.
- W2286131808 hasPrimaryLocation W22861318081 @default.
- W2286131808 hasRelatedWork W1486905774 @default.
- W2286131808 hasRelatedWork W1542795591 @default.
- W2286131808 hasRelatedWork W1664015803 @default.
- W2286131808 hasRelatedWork W166472601 @default.
- W2286131808 hasRelatedWork W1899708842 @default.
- W2286131808 hasRelatedWork W1966568661 @default.
- W2286131808 hasRelatedWork W1989381634 @default.
- W2286131808 hasRelatedWork W2162706734 @default.
- W2286131808 hasRelatedWork W2268594451 @default.
- W2286131808 hasRelatedWork W2342617861 @default.
- W2286131808 hasRelatedWork W2468684486 @default.
- W2286131808 hasRelatedWork W2495772062 @default.
- W2286131808 hasRelatedWork W2900568051 @default.
- W2286131808 hasRelatedWork W2904000874 @default.
- W2286131808 hasRelatedWork W2952710649 @default.
- W2286131808 hasRelatedWork W2962757633 @default.
- W2286131808 hasRelatedWork W2963397702 @default.
- W2286131808 hasRelatedWork W3099523570 @default.
- W2286131808 hasRelatedWork W622397538 @default.
- W2286131808 hasRelatedWork W817630820 @default.
- W2286131808 isParatext "false" @default.
- W2286131808 isRetracted "false" @default.
- W2286131808 magId "2286131808" @default.
- W2286131808 workType "book-chapter" @default.