Invariant Submanifolds of Genus 5 and a Cantor Staircase in the Nonholonomic Model of a Snakeboard

DOI10.1142/S0218127419300088zbMath1411.70022OpenAlexW2934258467MaRDI QIDQ4631658

Alexander A. Kilin, Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 18 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419300088

zbMATH Keywords

bifurcationsbifurcation analysisnonholonomic mechanicsqualitative analysissnakeboardnonholonomic jammingregularization (blowing up singularities)system on a torus

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Invariant manifolds for ordinary differential equations (34C45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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