Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2009-06-15
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Scientific paper
We construct 9-parameter and 13-parameter dynamical systems of the plane
which map bi-quadratic curves to other bi-quadratic curves and return to the
original curve after two iterations. These generalize the QRT maps which map
each such curve to itself. The new families of maps include those that were
found as reductions of integrable lattices.
Joshi Nidhi
Kassotakis Pavlos
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