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<p>We analyze the stability of the straight-line motion of the bicycle depending onthe mass-geometric parameters of the bicycle and its translational velocity.We construct a region in phase space which corresponds to initial conditions under whichthe bicycle tends asymptotically to straight-line motion. To investigate thebifurcations of the periodic solutions of the system, we construct a chart ofdynamical regimes on the plane of two parameters and a three-dimensional Poincaré map.We analyze the possibility of acceleration or deceleration of the bicyclewhen the angular velocity of the rotor periodically changesin time.</p>

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Chaotic Dynamics and Stability Analysis of a Roller Bicycle

  • 期刊论文

  • 发表日期：

    2025年12月20日

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  • Ivan A. Bizyaev,
  • Anna S. Berdnikova

摘要

We analyze the stability of the straight-line motion of the bicycle depending onthe mass-geometric parameters of the bicycle and its translational velocity.We construct a region in phase space which corresponds to initial conditions under whichthe bicycle tends asymptotically to straight-line motion. To investigate thebifurcations of the periodic solutions of the system, we construct a chart ofdynamical regimes on the plane of two parameters and a three-dimensional Poincaré map.We analyze the possibility of acceleration or deceleration of the bicyclewhen the angular velocity of the rotor periodically changesin time.