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Deautonomizing integrable non-QRT mappings

A S Carstea1, B Grammaticos2 and A Ramani3

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We examine a class of previously derived integrable mappings which do not belong to the QRT family and show that they can be extended to non-autonomous forms without loss of the integrable character. We derive more non-QRT integrable mappings, obtain their non-autonomous forms and show how they can be integrated.


PACS

02.30.Ik Integrable systems

02.30.Hq Ordinary differential equations

02.30.Gp Special functions

MSC

33E17 Painlevé-type functions

34M55 Painlevé and other special equations; classification, hierarchies; isomonodromic deformations

33E05 Elliptic functions and integrals

37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

37A35 Entropy and other invariants, isomorphism, classification

Subjects

Mathematical physics

Dates

Issue 48 (4 December 2009)

Received 28 May 2009

Published 13 November 2009



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