Articles | Volume 13, issue 1
https://doi.org/10.5194/ms-13-321-2022
https://doi.org/10.5194/ms-13-321-2022
Research article
 | 
04 Apr 2022
Research article |  | 04 Apr 2022

Analysis of divergent bifurcations in the dynamics of wheeled vehicles

Vladimir Verbitskii, Vlad Lobas, Yevgen Misko, and Andrey Bondarenko

Related subject area

Subject: Dynamics and Control | Techniques and Approaches: Mathematical Modeling and Analysis
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Cited articles

Andronov, A. A., Vitt, A. A., and Khaikin, S. E.: Theory of Oscillators, International Series of Monographs in Physics, Vol. 4 XXXII, Oxford/London/Edinburgh/New York/Toronto/Paris/Frankfurt Pergamon Press, 815, https://doi.org/10.1002/zamm.19670470720, 1966. 
Arnold, V. I.: Catastrophe Theory, 3rd, revised and expanded Edn., Springer, 149, ISBN-13 978-3540548119, 2012. 
Bautin, N.: Behavior of Dynamical Systems near the Boundary of Their Region of Stability, Gostekhizdat, Leningrad, 532 pp., 1949. 
Bobier-Tiu, C. G., Beal, C. E., Kegelman, J. C., Hindiyeh, R. Y., and Gerdes, J. C.: Vehicle control synthesis using phase portraits of planar dynamics, Vehicle Syst. Dyn., 57, 1318–1337, https://doi.org/10.1080/00423114.2018.1502456, 2019. 
Bruce, J. W. and Giblin, P. G.: Curves and Singularities, Mir, 1988 (in Russian). 
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Short summary
The article presents an approach to constructing the stability boundary in the parameter space of a nonlinear model of a wheeled vehicle – a bifurcation set, which extends the well-known concept of the critical speed of rectilinear motion to the case of circular modes. The approaches considered in the work are important for understanding the regularities of the change in the stability properties of the movement of wheeled transport systems.