99 citations · 459 across the 24 of their papers we have counts for
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math-ph2009★ 80 cited
A direct approach to the construction of standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients
Jan L. Cieslinski, Tomasz Nikiciuk
We present a direct approach to the construction of Lagrangians for a large class of one-dimensional dynamical systems with a simple dependence (monomial or polynomial) on the velo…
math-ph2009★ 4 cited
On the exact discretization of the classical harmonic oscillator equation
Jan L. Cieslinski
We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on t…