Dmitry Sinelshchikov

most citedIntegrability of oscillators and transcendental invariant curves

4 citations · 4 across the 3 of their papers we have counts for

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math.DS2024

On the geometric and analytical properties of the anharmonic oscillator

Jaume Giné, Dmitry Sinelshchikov

Here we consider the anharmonic oscillator that is a dynamical system given by $y_{xx} + δ y^{n} = 0$ . We demonstrate that to this equation corresponds a new example of a superintegrabl…