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.File in questo prodotto:
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