124 citations · 137 across the 11 of their papers we have counts for
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The fundamental eigenfrequency is simple in the two-dimensional sloshing problem
Nikolay Kuznetsov
The two-dimensional sloshing problem is considered; it describes the transversal free oscillations of water in an open, infinitely long canal of uniform cross-section. It is proved…
A characterisation of harmonic functions by quadrature identities of annular domains and related results
Nikolay Kuznetsov
A new characterization of harmonic functions is obtained. It is based on quadrature identities involving mean values over annular domains and over concentric spheres lying within t…
Saddle-Node Bifurcation of Periodic Orbit Route to Hidden Attractors in Nonlinear Dynamical Systems
Suresh Kumarasamy, Malay Banerjee, Vaibhav Varshney +3
Hidden attractors are present in many nonlinear dynamical systems and are not associated with equilibria, making them difficult to locate. Recent studies have demonstrated methods…
Forecasting and stabilizing chaotic regimes in two macroeconomic models via artificial intelligence technologies and control methods
Tatyana Alexeeva, Quoc Bao Diep, Nikolay Kuznetsov +1
One of the key tasks in the economy is forecasting the economic agents' expectations of the future values of economic variables using mathematical models. The behavior of mathemati…