4 citations · 4 across the 3 of their papers we have counts for
3 papers
nlin.SI2026★ 4 cited
Integrability of oscillators and transcendental invariant curves
Jaume Giné, Dmitry Sinelshchikov
In this work we study the integrability of a family of nonlinear oscillators. Dynamical systems from this family appear in different applications from mechanics to chemistry. We pr…
nlin.SI2026
Metrisable oscillators and (super)integrable two-dimensional metrics
Jaume Giné, Dmitry Sinelshchikov
We consider a family of nonlinear oscillators, which is the autonomous case of the two-dimensional projective connection. We construct several classes of these oscillators that are…
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 . We demonstrate that to this equation corresponds a new example of a superintegrabl…