99 citations · 459 across the 24 of their papers we have counts for
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math.NA2006★ 21 cited
An orbit-preserving discretization of the classical Kepler problem
Jan L. Cieslinski
We present a remarkable discretization of the classical Kepler problem which preserves its trajectories and all integrals of motion. The points of any discrete orbit belong to an a…
nlin.SI2006★ 6 cited
The Darboux-Backlund transformation for the static 2-dimensional continuum Heisenberg chain
Jan L. Cieslinski, Joanna Czarnecka
We construct the Darboux-Backlund transformation for the sigma model describing static configurations of the 2-dimensional classical continuum Heisenberg chain. The transformation…
nlin.SI2006
Discretization of multidimensional submanifolds associated with Spin-valued spectral problems
Jan L. Cieslinski
We present a large family of Spin(p,q)-valued discrete spectral problems. The associated discrete nets generated by the so called Sym-Tafel formula are circular nets (i.e., all ele…