Chaos in a soda can: non-periodic rocking of upright cylinders with sensitive dependence on initial conditions

DOI10.1016/J.MECHRESCOM.2009.03.008zbMath1258.70013OpenAlexW2137747840MaRDI QIDQ1939947

Manoj Srinivasan

Publication date: 5 March 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechrescom.2009.03.008

zbMATH Keywords

chaosdynamicsdynamical systemscylinderrollingLyapunov exponentrocking

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (1)

The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution

Cites Work

• Chaos in a restricted problem of rotation of a rigid body with a fixed point
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Nonholonomic stability aspects of piecewise holonomic systems
• The chaotic instability of a slowly spinning asymmetric top.
• Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
• Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review
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