INVESTIGATION OF THE INFLUENCE OF RANDOM PERTURBATIONS ON THE DYNAMICS OF THE SYSTEM IN THE SUSLOV PROBLEM

DOI10.17223/19988621/73/2OpenAlexW4206827015MaRDI QIDQ5060624

Evgeniya A. Mikishanina

Publication date: 10 January 2023

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu871

zbMATH Keywords

stochastic differential equationrandom perturbationsstrange attractornonholonomic systemSuslov problem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonholonomic systems related to the dynamics of a system of particles (70F25) Stability problems in rigid body dynamics (70E50) Nonholonomic dynamical systems (37J60)

Uses Software

• Maple

Cites Work

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• Numerical solution of SDE through computer experiments. Including floppy disk
• Quantitative universality for a class of nonlinear transformations
• Two nonholonomic chaotic systems. I: On the Suslov problem
• Hamiltonicity and integrability of the Suslov problem
• Scenarios of transition to chaos in the nonholonomic model of a Chaplygin top
• The geometry and integrability of the Suslov problem
• Numerical Solution of Stochastic Differential Equations with Constant Diffusion Coefficients