Differential-algebraic approach to constructing representations of commuting differentiations in functional spaces and its application to nonlinear integrable dynamical systems. - Anatolij K. Prykarpatski; Kamal N. Soltanov; Emin Özçag (Commun. Nonlinear Sci. Numer. Simul., 2014)

New integrable differential-difference and fractional nonlinear dynamical systems and their algebro-analytical properties. - Anatolij K. Prykarpatski (Commun. Nonlinear Sci. Numer. Simul., 2018)

Reduced Pre-Lie Algebraic Structures, the Weak and Weakly Deformed Balinsky-Novikov Type Symmetry Algebras and Related Hamiltonian Operators. - Orest D. Artemovych; Alexander A. Balinsky; Denis Blackmore; Anatolij K. Prykarpatski (Symmetry, 2018)

New fractional nonlinear integrable Hamiltonian systems. - Oksana Ye. Hentosh; Bohdan Yu. Kyshakevych; Denis Blackmore; Anatolij K. Prykarpatski (Appl. Math. Lett., 2019)

Quantum Current Algebra Symmetries and Integrable Many-Particle Schrödinger Type Quantum Hamiltonian Operators. - Dominik Prorok; Anatolij K. Prykarpatski (Symmetry, 2019)

Geometric Aspects of the Isentropic Liquid Dynamics and Vorticity Invariants. - Alexander A. Balinsky; Denis Blackmore; Radoslaw A. Kycia; Anatolij K. Prykarpatski (Entropy, 2020)

On the Finite Dimensionality of Closed Subspaces in Lp(M, dμ) ∩ Lq(M, dν). - Alexander A. Balinsky; Anatolij K. Prykarpatski (Axioms, 2021)

Entropy and Ergodicity of Boole-Type Transformations. - Denis Blackmore; Alexander A. Balinsky; Radoslaw A. Kycia; Anatolij K. Prykarpatski (Entropy, 2021)

Quantum Current Algebra Symmetry and Description of Boltzmann Type Kinetic Equations in Statistical Physics. - Lev I. Ivankiv; Yarema A. Prykarpatsky; Valeriy H. Samoilenko; Anatolij K. Prykarpatski (Symmetry, 2021)

On Symmetry Properties of Frobenius Manifolds and Related Lie-Algebraic Structures. - Anatolij K. Prykarpatski; Alexander A. Balinsky (Symmetry, 2021)

Dark Type Dynamical Systems: The Integrability Algorithm and Applications. - Yarema A. Prykarpatsky; Ilona Urbaniak; Radoslaw A. Kycia; Anatolij K. Prykarpatski (Algorithms, 2022)

Special Issue Editorial "Symmetry of Hamiltonian Systems: Classical and Quantum Aspects". - Anatolij K. Prykarpatski; Alexander A. Balinsky (Symmetry, 2023)

Symplectic Geometry Aspects of the Parametrically-Dependent Kardar-Parisi-Zhang Equation of Spin Glasses Theory, Its Integrability and Related Thermodynamic Stability. - Anatolij K. Prykarpatski; Petro Pukach; Myroslava Vovk (Entropy, 2023)

On the Quantum Deformations of Associative Sato Grassmannian Algebras and the Related Matrix Problems. - Alexander A. Balinsky; Victor A. Bovdi; Anatolij K. Prykarpatski (Symmetry, 2024)

On Some Aspects of the Courant-Type Algebroids, the Related Coadjoint Orbits and Integrable Systems. - Anatolij K. Prykarpatski; Victor A. Bovdi (Symmetry, 2024)