Complexe dynamica
Complexe dynamica is de studie van dynamische systemen die zich voornamelijk bezighoudt met de iteratie van complexwaardige functies. Complexe analytische dynamica is de complexe dynamica van holomorfe functies. Onder andere fractals worden er in behandeld.
Technieken
- Algemeen
- Stelling van Montel
- Poincaré-metriek
- Lemma van Schwarz
- Afbeeldingstelling van Riemann
- Stelling van Carathéodory
Delen
Holomorfe dynamica
Dynamica van holomorfe functies[1]
- in een complexe variabele
- in verschillende complexe variabelen
Hoekgetrouwe dynamiek
De hoekgetrouwe dynamiek verenigt holomorfe dynamiek in een complexe variabele met differentieerbare dynamica in een reële variabele.
Voetnoten
- ↑ Surveys in Dynamische systemem online. gearchiveerd, beschikbaar op de Dynamical Systems thuispagina van Institute for Mathematical Sciences SUNY op Stony Brook
Websites
- L Carleson en TW Gamelin. Complex dynamics, 1993, ISBN 9780387979427
- S Morosawa. Holomorphic dynamics, 2000, ISBN 9780521662581
- AF Beardon. Iteration of rational functions: complex analytic dynamical systems, 2000, ISBN 9780387951515
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