ON A HAMILTONIAN VERSION OF CONTROLS DYNAMIC FOR A DRIFT-FREE LEFT INVARIANT CONTROL SYSTEM ON G4

DOI10.1142/S021988781250065XzbMath1322.70015OpenAlexW2123932620MaRDI QIDQ4917287

Cristian Lăzureanu, Tudor Bînzar

Publication date: 29 April 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021988781250065x

zbMATH Keywords

periodic orbitsstability analysiselliptic functionshomoclinic orbitsHamiltonian dynamicscomplete integrabilityenergy-Casimir mapgeometric prequantization

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Geometric quantization (53D50) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

Related Items (4)

A drift-free left invariant control system on the Lie group \(\mathrm{SO}(3) \times \mathbb R^3 \times \mathbb R^3\) ⋮ The Real-Valued Maxwell–Bloch Equations with Controls: From a Hamilton–Poisson System to a Chaotic One ⋮ Optimal control, stability and numerical integration on \(\mathrm{SU}(3)\) ⋮ Some new remarks about the dynamics of an automobile with two trailers

Cites Work

• Unnamed Item
• Periodic orbits in the case of a zero eigenvalue
• Tangents to an analytic variety
• Control systems on Lie groups
• Normal modes for nonlinear Hamiltonian systems
• Nonlinear stability of fluid and plasma equilibria
• Nonholonomic motion planning: steering using sinusoids
• On a Hamiltonian Version of the Rikitake System
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Integrals of nonlinear equations of evolution and solitary waves
• Analytic and geometric study of stratified spaces

This page was built for publication: ON A HAMILTONIAN VERSION OF CONTROLS DYNAMIC FOR A DRIFT-FREE LEFT INVARIANT CONTROL SYSTEM ON G₄