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math.CA2008★ 3 cited
Marden theorem and Poncelet-Darboux curves
Vladimir Dragovic
The Marden theorem of geometry of polynomials and the great Poncelet theorem from projective geometry of conics by their classical beauty occupy very special places. Our main aim i…
math.DS2008
Multi-valued hyperelliptic continued fractions of generalized Halphen type
Vladimir Dragovic
We introduce and study higher genera generalizations of the Halphen theory of continued fractions. The basic notion we start with is hyperelliptic Haplhen (HH) element $$\frac{\sqr…
math-ph2008★ 2 cited
Hirota-Kimura Type Discretization of the Classical Nonholonomic Suslov Problem
Vladimir Dragovic, Borislav Gajic
We constructed Hirota-Kimura type discretization of the classical nonholonomic Suslov problem of motion of rigid body fixed at a point. We found a first integral proving integrabil…