Tippe Top Inversion as a Dissipation-Induced Instability

From MaRDI portal
Publication:4653122

DOI10.1137/030601351zbMath1147.70303OpenAlexW1971744247MaRDI QIDQ4653122

Jerrold E. Marsden, Nawaf Bou-Rabee, Louis A. Romero

Publication date: 28 February 2005

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/1384/




Related Items (19)

A geometric treatment of Jellett's eggDynamics of the Tippe Top-properties of numerical solutions versus the dynamical equationsCan a spinning egg really jump?Dynamics of an axisymmetric body spinning on a horizontal surface. IV. Stability of steady spin states and the ‘rising egg’ phenomenon for convex axisymmetric bodiesDynamics of an axisymmetric body spinning on a horizontal surface. III. Geometry of steady state structures for convex bodiesTowards a prototype of a spherical tippe topSteady-state dynamics of a non-ideal rotor with internal damping and gyroscopic effectsThe influence of the first integrals and the rolling resistance model on tippe top inversionThe dynamics of a bouncing superball with spinWhat does it mean to explain the rising of the tippe top?Dynamics of the tippe top via Routhian reductionThe tippedisk: a tippetop without rotational symmetryGyroscopic stabilization of non-conservative systemsThe mathematical model for the tippe top inversionRouth symmetry in the Chaplygin's rolling ballComments on the paper by M. C. Ciocci, B. Malengier, B. Langerock, and B. Grimonprez ``Towards a prototype of a spherical tippe topDynamics of an axisymmetric body spinning on a horizontal surface. II. Self-induced jumpingA parabolic Chaplygin pendulum and a Paul trap: nonintegrability, stability, and boundednessSommerfeld effect in a two-disk rotor dynamic system at various unbalance conditions







This page was built for publication: Tippe Top Inversion as a Dissipation-Induced Instability