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Regular and Chaotic Dynamics
ISSN 1560-3547 (Print) ISSN 1468-4845 (Online)
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Keywords Chaplygin ball Chaplygin sleigh Hamiltonian system KAM theory Poincaré map bifurcation bifurcation diagram chaos integrability integrable system nonholonomic constraint nonholonomic mechanics nonholonomic systems normal form optimal control point vortices reduction resonance rigid body stability strange attractor
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Keywords Chaplygin ball Chaplygin sleigh Hamiltonian system KAM theory Poincaré map bifurcation bifurcation diagram chaos integrability integrable system nonholonomic constraint nonholonomic mechanics nonholonomic systems normal form optimal control point vortices reduction resonance rigid body stability strange attractor
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Author Details

Bizyaev, Ivan A.

Issue Section Title File
Vol 21, No 1 (2016) Article Dynamics of the Chaplygin sleigh on a cylinder
Vol 21, No 3 (2016) Article The dynamics of vortex sources in a deformation flow
Vol 21, No 4 (2016) Article Historical and critical review of the development of nonholonomic mechanics: the classical period
Vol 21, No 5 (2016) Article The spatial problem of 2 bodies on a sphere. Reduction and stochasticity
Vol 21, No 6 (2016) On the 70th Birthday of Nikolai N. Nekhoroshev Special Memorial Issue. Part 1 Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups
Vol 22, No 2 (2017) Article The Hess–Appelrot case and quantization of the rotation number
Vol 22, No 3 (2017) Article The inertial motion of a roller racer
Vol 22, No 8 (2017) Article The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration
Vol 23, No 5 (2018) Article Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability
Vol 23, No 6 (2018) Article An Invariant Measure and the Probability of a Fall in the Problem of an Inhomogeneous Disk Rolling on a Plane
Vol 23, No 7-8 (2018) Article Exotic Dynamics of Nonholonomic Roller Racer with Periodic Control
Vol 24, No 5 (2019) Sergey Chaplygin Memorial Issue Different Models of Rolling for a Robot Ball on a Plane as a Generalization of the Chaplygin Ball Problem
 

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