Geodesic
Vector Lyapunov functions, complete sets of guiding functions, and the existence of Poisson bounded solutions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2021), pp. 19-26

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Based on the synthesis of the method of vector Lyapunov functions and the method of complete sets of guiding functions we obtain sufficient conditions for the existence of Poisson bounded solutions, as well as sufficient conditions of the existence of partially Poisson bounded solutions of systems of differential equations.
Keywords: vector Lyapunov function, rotation of the vector field, guiding function, complete sets of guiding functions, Poisson boundedness of solution, partial Poisson boundedness of solution. 
@article{IVM_2021_2_a1,
     author = {K. S. Lapin},
     title = {Vector {Lyapunov} functions, complete sets of guiding functions, and the existence of {Poisson} bounded solutions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {19--26},
     publisher = {mathdoc},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_2_a1/}
}
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K. S. Lapin. Vector Lyapunov functions, complete sets of guiding functions, and the existence of Poisson bounded solutions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2021), pp. 19-26. http://geodesic.mathdoc.fr/item/IVM_2021_2_a1/