765 citations · 1.3k across the 24 of their papers we have counts for
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math.CA2019
Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations
Dmitry I. Sinelshchikov, Ilia Yu. Gaiur, Nikolay A. Kudryashov
We consider a family of non-autonomous second-order differential equations, which generalizes the Liénard equation. We explicitly find the necessary and sufficient conditions for m…
math.DS2019★ 41 cited
Hyperchaos and Multistability in Nonlinear Dynamics of Two Interacting Microbubble Contrast Agents
Ivan R. Garashchuk, Dmitry I. Sinelshchikov, Alexey O. Kazakov +1
We study nonlinear dynamics of two coupled contrast agents that are micro-meter size gas bubbles encapsulated into a viscoelastic shell. Such bubbles are used for enhancing ultraso…