Very little is currently known about the dynamics of non-polynomial entire maps in several complex variables. The family of transcendental Henon maps offers the potential of combining ideas from transcendental dynamics in one variable and the dynamics of polynomial Henon maps in two. Here we show that these maps all have infinite topological and measure theoretic entropy. The proof also implies the existence of infinitely many periodic orbits of any order greater than two.
Arosio, L., Benini, A., Fornaess, J., Peters, H. (2021). Dynamics of transcendental Henon maps III: infinite entropy. JOURNAL OF MODERN DYNAMICS, 17, 465-479 [10.3934/jmd.2021016].
Dynamics of transcendental Henon maps III: infinite entropy
Arosio, L;
2021-01-01
Abstract
Very little is currently known about the dynamics of non-polynomial entire maps in several complex variables. The family of transcendental Henon maps offers the potential of combining ideas from transcendental dynamics in one variable and the dynamics of polynomial Henon maps in two. Here we show that these maps all have infinite topological and measure theoretic entropy. The proof also implies the existence of infinitely many periodic orbits of any order greater than two.| File | Dimensione | Formato | |
|---|---|---|---|
|
Dynamics of transcendental Hénon maps III infinite entropy.pdf
solo utenti autorizzati
Descrizione: Articolo principale
Tipologia:
Versione Editoriale (PDF)
Licenza:
Copyright dell'editore
Dimensione
226.01 kB
Formato
Adobe PDF
|
226.01 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
