Normal forms and averaging in an acceleration problem in nonholonomic mechanics-Reference-Cited by-同舟云学术

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Normal forms and averaging in an acceleration problem in nonholonomic mechanics

Published:2021-01 Issue:1 Volume:31 Page:013132
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:Chaos

Author:

Bizyaev Ivan¹^ORCID,Bolotin Sergey²^ORCID,Mamaev Ivan³^ORCID

Affiliation:

1. Ural Mathematical Center, Udmurt State University, Universitetskaya 1, Izhevsk 426034, Russia

2. Moscow Steklov Mathematical Institute, Gubkina 8, Moscow 119991, Russia

3. Laboratory of Mobile Systems, Izhevsk State Technical University, Studencheskaya 7, Izhevsk 426069, Russia

Funder

Ministry of Science and Higher Education of the Russian Federation

Russian Foundation for Basic Research

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/5.0030889

Reference36 articles.

1. The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration

2. Chaplygin sleigh with periodically oscillating internal mass

3. The Chaplygin sleigh with friction moving due to periodic oscillations of an internal mass

4. Fermi-like acceleration and power-law energy growth in nonholonomic systems

5. Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors

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2. Roller Racer with Varying Gyrostatic Momentum: Acceleration Criterion and Strange Attractors;Regular and Chaotic Dynamics;2023-01

3. The problem of acceleration in the dynamics of a double-link wheeled vehicle with arbitrarily directed periodic excitation;Theoretical and Applied Mechanics;2023

4. Numerical analysis of the periodic controls of an aquatic robot;Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki;2022-12

5. Leonid Shilnikov and mathematical theory of dynamical chaos;Chaos: An Interdisciplinary Journal of Nonlinear Science;2022-01

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