119 citations · 269 across the 38 of their papers we have counts for
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Linear difference operators with sequence coefficients having infinite-dimentional solution spaces
Sergei Abramov, Gleb Pogudin
The notion of lacunary infinite numerical sequence is introduced. It is shown that for an arbitrary linear difference operator L with coefficients belonging to the set R of infinit…
Dissipative quadratizations of polynomial ODE systems
Yubo Cai, Gleb Pogudin
Quadratization refers to a transformation of an arbitrary system of polynomial ordinary differential equations to a system with at most quadratic right-hand side. Such a transforma…
On the dimension of the solution space of linear difference equations over the ring of infinite sequences
Sergei Abramov, Gleb Pogudin
For a linear difference equation with the coefficients being computable sequences, we establish algorithmic undecidability of the problem of determining the dimension of the soluti…
Identifiable specializations for ODE models
Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin +1
The parameter identifiability problem for a dynamical system is to determine whether the parameters of the system can be found from data for the outputs of the system. Verifying wh…
Exact and optimal quadratization of nonlinear finite-dimensional non-autonomous dynamical systems
Andrey Bychkov, Opal Issan, Gleb Pogudin +1
Quadratization of polynomial and nonpolynomial systems of ordinary differential equations is advantageous in a variety of disciplines, such as systems theory, fluid mechanics, chem…
Exact hierarchical reductions of dynamical models via linear transformations
Alexander Demin, Elizaveta Demitraki, Gleb Pogudin
Dynamical models described by ordinary differential equations (ODEs) are a fundamental tool in the sciences and engineering. Exact reduction aims at producing a lower-dimensional m…