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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…