Abstract
AbstractA physical rattleback is a toy that can exhibit counter-intuitive behavior when spun on a horizontal plate. Most notably, it can spontaneously reverse its direction of rotation. Using a standard mathematical model of the rattleback, we prove the existence of reversing motion, reversing motion combined with rolling, and orbits that exhibit such behavior repeatedly.
Funder
Ministero dell’Istruzione, dell’Università e della Ricerca
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Engineering,Modeling and Simulation
Reference27 articles.
1. A free-software compiler for the Ada programming language, which is part of the GNU Compiler Collection; see https://gnu.org/software/gnat/
2. Ada Reference Manual, ISO/IEC 8652:2012(E), Available e.g. at www.ada-auth.org/arm.html
3. Arioli, G., Koch, H.: The source code for our programs, data files, and some videos are available at https://web.ma.utexas.edu/users/koch/papers/rback/
4. Arioli, G., Koch, H.: Existence and stability of traveling pulse solutions of the FitzHugh–Nagumo equation. Nonlinear Anal. 113, 51–70 (2015)
5. Arioli, G., Koch, H.: Spectral stability for the wave equation with periodic forcing. J. Differ. Equ. 265, 2470–2501 (2018)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献