3 papers
nlin.SI2002
The space of initial conditions for linearisable mappings
T. Takenawa, M. Eguchi, B. Grammaticos +3
We apply the algebraic-geometric techniques developed for the study of mappings which have the singularity confinement property to mappings which are integrable through linearisati…
solv-int1998
On Discrete Painleve Equations Associated with the Lattice KdV Systems and the Painleve VI Equation
F. W. Nijhoff, A. Ramani, B. Grammaticos +1
A new integrable nonautonomous nonlinear ordinary difference equation is presented which can be considered to be a discrete analogue of the Painleve V equation. Its derivation is b…
solv-int1998
On Integrability and Chaos in Discrete Systems
M. J. Ablowitz, Y. Ohta, A. D. Trubatch
The scalar nonlinear Schrodinger (NLS) equation and a suitable discretization are well known integrable systems which exhibit the phenomena of ``effective'' chaos. Vector generaliz…