Exact geometric theory of dendronized polymer dynamics. - François Gay-Balmaz; Darryl D. Holm; Vakhtang Putkaradze; Tudor S. Ratiu (Adv. Appl. Math., 2012)

Workspace Multiplicity and Fault Tolerance of Cooperating Robots. - Daniel A. Brake; Daniel J. Bates; Vakhtang Putkaradze; Anthony A. Maciejewski (MACIS, 2015)

On Flexible Tubes Conveying Fluid: Geometric Nonlinear Theory, Stability and Dynamics. - François Gay-Balmaz; Vakhtang Putkaradze (J. Nonlinear Sci., 2015)

On Noisy Extensions of Nonholonomic Constraints. - François Gay-Balmaz; Vakhtang Putkaradze (J. Nonlinear Sci., 2016)

Constraint Control of Nonholonomic Mechanical Systems. - Vakhtang Putkaradze; Stuart Rogers (J. Nonlinear Sci., 2018)

Geometric Theory of Flexible and Expandable Tubes Conveying Fluid: Equations, Solutions and Shock Waves. - François Gay-Balmaz; Vakhtang Putkaradze (J. Nonlinear Sci., 2019)

Integrability and Chaos in Figure Skating. - Vaughn Gzenda; Vakhtang Putkaradze (J. Nonlinear Sci., 2020)

Lie-Poisson Neural Networks (LPNets): Data-based computing of Hamiltonian systems with symmetries. - Christopher Eldred; François Gay-Balmaz; Sofiia Huraka; Vakhtang Putkaradze (Neural Networks, 2024)

CLPNets: Coupled Lie-Poisson neural networks for multi-part Hamiltonian systems with symmetries. - Christopher Eldred; François Gay-Balmaz; Vakhtang Putkaradze (Neural Networks, 2025)