Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback
type: Item
instance of: scholarly article
title: Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback
zbMATH Open document ID: 1263.74021
DOI: 10.1134/S1560354712060044
author: A. V. Borisov
author: Alekseĭ Yur'evich Zhalnin
author: S. P. Kuznetsov
author: I. R. Sataev
author: J. V. Sedova
published in: Regular and Chaotic Dynamics
publication date: 2013-03-22T00:00:00Z
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 6148381
zbMATH Keywords: rattleback
zbMATH Keywords: rigid body dynamics
zbMATH Keywords: nonholonomic mechanics
zbMATH Keywords: strange attractor
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: bifurcation
zbMATH Keywords: fractal dimension
MaRDI profile type: Publication
cites work: Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
cites work: Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom
cites work: Q3995469
cites work: Regular and chaotic dynamics.
cites work: Q5200679
cites work: MULTI-PARAMETER CRITICALITY IN CHUA'S CIRCUIT AT PERIOD-DOUBLING TRANSITION TO CHAOS
cites work: On the road towards multidimensional tori
cites work: Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing
cites work: Q5287558
cites work: On the numerical computation of Poincaré maps
cites work: Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
cites work: Errors of Measurement in Statistics
cites work: Hyperbolic Chaos
cites work: The universal metric properties of nonlinear transformations
cites work: Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps
cites work: Q3159053
cites work: Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
cites work: The dynamics of the Hénon map
cites work: Q5554026
cites work: Measuring the strangeness of strange attractors
full work available at URL: s1560354712060044
OpenAlex ID: W2169260286
description: scientific article; zbMATH DE number 6148381