Regular and chaotic motions of a Chaplygin sleigh under periodic pulsed torque impacts
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Publication:2361647
DOI10.1134/S1560354716070029zbMath1368.37075MaRDI QIDQ2361647
Sergey P. Kuznetsov, Alexey V. Borisov
Publication date: 30 June 2017
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Dynamics induced by flows and semiflows (37C10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)
Related Items (14)
Regular and chaotic dynamics in the rubber model of a Chaplygin top ⋮ Spiral chaos in the nonholonomic model of a Chaplygin top ⋮ Asymptotic behavior in the dynamics of a smooth body in an ideal fluid ⋮ Vibrational Stability of Periodic Solutions of the Liouville Equations ⋮ On the skating motion of a robot controlled by an internal flywheel ⋮ An inhomogeneous Chaplygin sleigh ⋮ Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere ⋮ Comparing dynamics initiated by an attached oscillating particle for the nonholonomic model of a Chaplygin sleigh and for a model with strong transverse and weak longitudinal viscous friction applied at a fixed point on the body ⋮ The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration ⋮ Sinusoidal control and limit cycle analysis of the dissipative Chaplygin sleigh ⋮ Regular and chaotic dynamics of a Chaplygin sleigh due to periodic switch of the nonholonomic constraint ⋮ Motion of a smooth foil in a fluid under the action of external periodic forces. I. ⋮ Fermi-like acceleration and power-law energy growth in nonholonomic systems ⋮ The \(N\)-link swimmer in three dimensions: controllability and optimality results
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