1.
Bizyaev I. A., Berdnikova A. S.
Chaotic Dynamics and Stability Analysis of a Roller Bicycle
Regular and Chaotic Dynamics, 2026, vol. 31, no. 1, pp. 28-52
Abstract
pdf (2.53 Mb)
We analyze the stability of the straight-line motion of the bicycle depending on the mass-geometric parameters of the bicycle and its translational velocity. We construct a region in phase space which corresponds to initial conditions under which the bicycle tends asymptotically to straight-line motion. To investigate the bifurcations of the periodic solutions of the system, we construct a chart of dynamical regimes on the plane of two parameters and a three-dimensional Poincaré map. We analyze the possibility of acceleration or deceleration of the bicycle when the angular velocity of the rotor periodically changes in time.
| Keywords: |
bicycle, nonholonomic system, stability, Poincaré map, strange attractor |
| Citation: |
Bizyaev I. A., Berdnikova A. S., Chaotic Dynamics and Stability Analysis of a Roller Bicycle, Regular and Chaotic Dynamics, 2026, vol. 31, no. 1, pp. 28-52 |
| DOI: |
10.1134/S1560354725540032 |
| Full text: |
pdf
(2.53 Mb)
|
Journal Info
| Impact-factor WoS (2022): |
1.400 (Q2) |
| Impact-factor RSCI (2022): |
0.399 (Q2) |
| ISSN (print): |
1560-3547 |
| ISSN (online): |
1468-4845 |
| Site: |
http://rcd.ics.org.ru/ |
