Application of the methods of Poincaré topographical systems and comparison systems in some concrete systems of differential equations
M. V. Shamolin

This publication is cited in the following articles:

1. M. V. Shamolin, “Semeistva portretov klassov dinamicheskikh sistem mayatnikovogo tipa”, Geometriya i mekhanika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 202, VINITI RAN, M., 2021, 70–98    
2. M. V. Shamolin, “Sistemy s dissipatsiei: otnositelnaya grubost, negrubost razlichnykh stepenei i integriruemost”, Geometriya i mekhanika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 174, VINITI RAN, M., 2020, 70–82      
3. M. V. Shamolin, “Dvizhenie tverdogo tela s perednim konusom v soprotivlyayuscheisya srede: kachestvennyi analiz i integriruemost”, Geometriya i mekhanika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 174, VINITI RAN, M., 2020, 83–108      
4. M. V. Shamolin, “Families of portraits of some pendulum-like systems in dynamics”, J. Appl. Industr. Math., 14:4 (2020), 769–778        
5. M. V. Shamolin, “Topograficheskie sistemy Puankare i sistemy sravneniya malykh i vysokikh poryadkov”, Geometriya i mekhanika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 187, VINITI RAN, M., 2020, 50–67      
6. M. V. Shamolin, “Predelnye mnozhestva differentsialnykh uravnenii okolo singulyarnykh osobykh tochek”, Geometriya i mekhanika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 187, VINITI RAN, M., 2020, 119–128      
7. M. V. Shamolin, “On the problem of free deceleration of a rigid body with the cone front part in a resisting medium”, Math. Models Comput. Simul., 9:2 (2017), 232–247        
8. M. V. Shamolin, “Rigid body motion in a resisting medium modelling and analogues with vortex streets”, Math. Models Comput. Simul., 7:4 (2015), 389–400      
9. M. V. Shamolin, “Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications”, J. Math. Sci., 230:2 (2018), 185–353      
10. M. V. Shamolin, “Some classes of integrable problems in spatial dynamics of a rigid body in a nonconservative force field”, J. Math. Sci. (N. Y.), 210:3 (2015), 292–330    
11. M. V. Shamolin, “Zadacha o dvizhenii tela v soprotivlyayuscheisya srede s uchetom zavisimosti momenta sily soprotivleniya ot uglovoi skorosti”, Matem. modelirovanie, 24:10 (2012), 109–132    
12. M. V. Shamolin, “Dvizhenie tverdogo tela v soprotivlyayuscheisya srede”, Matem. modelirovanie, 23:12 (2011), 79–104    
13. V. V. Trofimov, M. V. Shamolin, “Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems”, J. Math. Sci., 180:4 (2012), 365–530      
14. M. V. Shamolin, “Dynamical systems with variable dissipation: Approaches, methods, and applications”, J. Math. Sci., 162:6 (2009), 741–908            
15. M. V. Shamolin, “Robustness of dissipative systems and relative robustness and non-robustness of systems with variable dissipation”, Russian Math. Surveys, 54:5 (1999), 1042–1043              
16. M. V. Shamolin, “Spatial topographical systems of Poincaré and comparison systems”, Russian Math. Surveys, 52:3 (1997), 621–622