- Dmitry I. Sinelshchikov, Ilia Yu. Gaiur, Nikolay A. Kudryashov, “Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations”, Journal of Mathematical Analysis and Applications, 480, no. 1, 2019, 123375
![https://doi.org/10.1016/j.jmaa.2019.123375 crossref](/refsvg/svg/crossref.svg)
- Dmitry Sinelshchikov, “On an integrability criterion for a family of cubic oscillators”, MATH, 6, no. 11, 2021, 12902
![https://doi.org/10.3934/math.2021745 crossref](/refsvg/svg/crossref.svg)
- Dmitry I. Sinelshchikov, “On linearizability via nonlocal transformations and first integrals for second-order ordinary differential equations”, Chaos, Solitons & Fractals, 141, 2020, 110318
![https://doi.org/10.1016/j.chaos.2020.110318 crossref](/refsvg/svg/crossref.svg)
- Dmitry I. Sinelshchikov, “Nonlocal deformations of autonomous invariant curves for Liénard equations with quadratic damping”, Chaos, Solitons & Fractals, 152, 2021, 111412
![https://doi.org/10.1016/j.chaos.2021.111412 crossref](/refsvg/svg/crossref.svg)
- Dmitry I. Sinelshchikov, Partha Guha, A. Ghose Choudhury, “Lax representation and a quadratic rational first integral for second-order differential equations with cubic nonlinearity”, Communications in Nonlinear Science and Numerical Simulation, 112, 2022, 106553
![https://doi.org/10.1016/j.cnsns.2022.106553 crossref](/refsvg/svg/crossref.svg)
- Maria Demina, Dmitry Sinelshchikov, “Integrability Properties of Cubic Liénard Oscillators with Linear Damping”, Symmetry, 11, no. 11, 2019, 1378
![https://doi.org/10.3390/sym11111378 crossref](/refsvg/svg/crossref.svg)
- Dmitry I. Sinelshchikov, “Linearizability conditions for the Rayleigh-like oscillators”, Physics Letters A, 384, no. 26, 2020, 126655
![https://doi.org/10.1016/j.physleta.2020.126655 crossref](/refsvg/svg/crossref.svg)