D. L. Golitsyn scite author profile

We suggest an algorithm that permits one to prove the existence of limit periodic trajectories (cycles) in two-dimensional nonautonomous dissipative systems with periodic coefficients with the use of computational methods alone. We prove a fixed point theorem for two-dimensional mappings and describe methods of its application to two-dimensional nonautonomous systems with the use of the Poincaré mapping and interval arithmetics.

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CUDA Implementation of an Algorithm for Batch Mode Detection of Collisions

Golitsyn

Korzun

Ryabkov

2021

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D. L. Golitsyn

Study of the passage from a dissipative to a conservative state in two-dimensional nonlinear systems of ordinary differential equations

Algorithm for the numerical proof of the existence of periodic trajectories in two-dimensional nonautonomous systems of ordinary differential equations

CUDA Implementation of an Algorithm for Batch Mode Detection of Collisions

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