25 citations
8 papers
Generating Digital Models Using Text-to-3D and Image-to-3D Prompts: Critical Case Study
Rushan Ziatdinov, Rifkat Nabiyev
In the world of technology and AI, digital models play an important role in our lives and are an essential part of the digital twins of real-world objects. They can be created by d…
Method for searching higher symmetries for quad graph equations
Rustem N. Garifullin, Elena V. Gudkova, Ismagil T. Habibullin
Generalized symmetry integrability test for discrete equations on the square lattice is studied. Integrability conditions are discussed. A method for searching higher symmetries (i…
Forced Nonlinear Resonance in a System of Coupled Oscillators
Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov
We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time o…
Classification of integrable discrete Klein-Gordon models
Ismagil T. Habibullin, Elena V. Gudkova
The Lie algebraic integrability test is applied to the problem of classification of integrable Klein-Gordon type equations on quad-graphs. The list of equations passing the test is…
An algebraic method of classification of S-integrable discrete models
Ismagil T. Habibullin, Elena V. Gudkova
A method of classification of integrable equations on quad-graphs is discussed based on algebraic ideas. We assign a Lie ring to the equation and study the function describing the…
Autoresonance in a Dissipative System
Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov
We study the autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the a…