Integrable discretization and deformation of the nonholonomic Chaplygin ball

DOI10.1134/S1560354717040025zbMath1383.37054arXiv1705.01866MaRDI QIDQ1701458

Andreĭ Vladimirovich Tsyganov

Publication date: 23 February 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01866

zbMATH Keywords

nonholonomic systemAbel quadraturearithmetic of divisors

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) 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) Nonholonomic dynamical systems (37J60)

Related Items (11)

On exact discretization of cubic-quintic Duffing oscillator ⋮ Two Integrable Cases of a Ball Rolling over a Sphere in $\mathbb{R}^n$ ⋮ Bäcklund transformations and divisor doubling ⋮ Discretization and superintegrability all rolled into one ⋮ Influence of Bartnett-London and Einstein-de Haas effects on the motion of the nonholonomic sphere of Routh ⋮ Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere ⋮ On discretization of the Euler top ⋮ Discretization of Hamiltonian systems and intersection theory ⋮ Duffing Oscillator and Elliptic Curve Cryptography ⋮ Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane ⋮ Equivalent integrable metrics on the sphere with quartic invariants

Uses Software

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