We compactify and regularise the space of initial values of a planar map with a quartic invariant and use this construction to prove its integrability in the sense of algebraic entropy. The system has certain unusual properties, including a sequence of points of indeterminacy in. These indeterminacy points lie on a singular fibre of the mapping to a corresponding QRT system and provide the existence of a one-parameter family of special solutions.

Gubbiotti, G., Joshi, N. (2020). SPACE of INITIAL VALUES of A MAP with A QUARTIC INVARIANT. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1-12 [10.1017/S0004972720000751].

SPACE of INITIAL VALUES of A MAP with A QUARTIC INVARIANT

Gubbiotti G.
;
2020-01-01

Abstract

We compactify and regularise the space of initial values of a planar map with a quartic invariant and use this construction to prove its integrability in the sense of algebraic entropy. The system has certain unusual properties, including a sequence of points of indeterminacy in. These indeterminacy points lie on a singular fibre of the mapping to a corresponding QRT system and provide the existence of a one-parameter family of special solutions.
Gubbiotti, G., Joshi, N. (2020). SPACE of INITIAL VALUES of A MAP with A QUARTIC INVARIANT. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1-12 [10.1017/S0004972720000751].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/372725
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact