Nonholonomic LR Systems as Generalized Chaplygin Systems with an Invariant Measure and Flows on Homogeneous Spaces

JOURNAL ARTICLE published August 2004 in Journal of Nonlinear Science

Authors: Y.N. Fedorov | B. Jovanovic

Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres

JOURNAL ARTICLE published June 2023 in Journal of Nonlinear Science

Authors: Vladimir Dragović | Borislav Gajić | Božidar Jovanović

Quantizing Chaplygin Hamiltonizable nonholonomic systems

JOURNAL ARTICLE published 8 June 2022 in Scientific Reports

Research funded by John Simon Guggenheim Memorial Foundation (Guggenheim Fellowship)

Authors: Oscar E. Fernandez

Hamiltonization of the generalized Veselova LR system

JOURNAL ARTICLE published August 2009 in Regular and Chaotic Dynamics

Authors: Yu. N. Fedorov | B. Jovanović

Generalized Chaplygin equations for nonholonomic systems on time scales

JOURNAL ARTICLE published February 2018 in Chinese Physics B

Authors: Shi-Xin Jin | Yi Zhang

5. Chaplygin systems

BOOK CHAPTER published 12 October 2004 in Lecture Notes in Mathematics

Authors: Jorge Cortés Monforte

Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics

JOURNAL ARTICLE published May 2006 in Letters in Mathematical Physics

Authors: Yuri N. Fedorov | Božidar Jovanović

Singular Manakov flows and geodesic flows on homogeneous spaces of SO(N)

JOURNAL ARTICLE published September 2009 in Transformation Groups

Authors: V. Dragović | B. Gajić | B. Jovanović

Invariant measures of modified LR and L+R systems

JOURNAL ARTICLE published September 2015 in Regular and Chaotic Dynamics

Authors: Božidar Jovanović

Systems with an Invariant Measure on Lie Groups

BOOK CHAPTER published 1999 in Hamiltonian Systems with Three or More Degrees of Freedom

Authors: Yuri N. Fedorov

Spherical and Planar Ball Bearings — Nonholonomic Systems with Invariant Measures

JOURNAL ARTICLE published July 2022 in Regular and Chaotic Dynamics

Authors: Vladimir Dragović | Borislav Gajić | Božidar Jovanović

CHAPTER V. NILFLOWS, MEASURE THEORY

BOOK CHAPTER published 31 December 1963 in Flows on Homogeneous Spaces. (AM-53)

Authors: L. Green

Ergodicity and mixing of homogeneous flows

BOOK CHAPTER published 14 March 2000 in Translations of Mathematical Monographs

Left invariant control systems on infinite-dimensional homogeneous spaces

PROCEEDINGS ARTICLE published December 1985 in 1985 24th IEEE Conference on Decision and Control

Authors: Anthony Bloch

Structure of the Center of the Algebra of Invariant Differential Operators on Certain Riemannian Homogeneous Spaces

JOURNAL ARTICLE published October 2004 in Transformation Groups

Authors: L.G. Rybnikov

A Discretization of the Nonholonomic Chaplygin Sphere Problem

JOURNAL ARTICLE published 12 March 2007 in Symmetry, Integrability and Geometry: Methods and Applications

Authors: Yuri N. Fedorov

Controllability of invariant systems on lie groups and homogeneous spaces

JOURNAL ARTICLE published July 2000 in Journal of Mathematical Sciences

Authors: Yu. L. Sachkov

Spectral analysis of forced vibrations

BOOK CHAPTER published 2004 in Modelling of Mechanical Systems

Magnetic flows on homogeneous spaces

JOURNAL ARTICLE published 30 September 2008 in Commentarii Mathematici Helvetici

Authors: Alexey V. Bolsinov | Božidar Jovanović

Hamiltonization and Integrability of the Chaplygin Sphere in ℝ n

JOURNAL ARTICLE published October 2010 in Journal of Nonlinear Science

Authors: Božidar Jovanović