Applicability of Hamilton-Jacobi method to nonlinear nonholonomic systems

DOI10.1007/BF02014600zbMath0728.70014OpenAlexW1978820131MaRDI QIDQ805312

Naseer Ahmed, Q. K. Ghori

Publication date: 1988

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02014600

zbMATH Keywords

Necessary and sufficient conditionsgeneralization of the Hamilton-Jacobi methodintegrating dynamical systemsnonlinear nonholonomic constraintsPoincaré formalism

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Nonholonomic systems related to the dynamics of a system of particles (70F25) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• Generalisation of the Hamilton-Jacobi theorem
• Motion of a rolling disk by a new generalized Hamilton-Jacobi method
• The Generalized Hamilton‐Jacobi Method for Nonholonomic Dynamical Systems of Chetaev's Type
• Equations of Motion of Nonholonomic Dynamical Systems in Poincaré-Četaev
• On the Problem of a Generalization of the Hamilton-Jacobi Method for Nonholonomic Systems
• Hamilton‐Jacobi Theorem in Poincaré‐Chetaev Variables
• Virtual Displacements of Nonholonomic Systems with Arbitrary Constraints

This page was built for publication: Applicability of Hamilton-Jacobi method to nonlinear nonholonomic systems