Constrained motion of Hamiltonian systems
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Publication:333014
DOI10.1007/s11071-015-2558-3zbMath1354.70039OpenAlexW2218830589MaRDI QIDQ333014
Publication date: 9 November 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2558-3
constrained Hamiltonian systemsexplicit equations of motionholonomic and nonholonomic constraintsvirtual displacements and Hamiltonian dynamics
Hamilton's equations (70H05) Constrained dynamics, Dirac's theory of constraints (70H45) Holonomic systems related to the dynamics of a system of particles (70F20) The dynamics of infinite particle systems (70F45)
Related Items (3)
Hamilton's principle and Hamilton's equations with holonomic and non-holonomic constraints ⋮ Control of nonlinear vibrations using the adjoint method ⋮ Comment on: ``Hyperchaos in constrained Hamiltonian system and its control
Cites Work
- On general nonlinear constrained mechanical systems
- On the foundations of analytical dynamics
- Optimal tracking control of nonlinear dynamical systems
- A new perspective on constrained motion
- Response to Bucy’s comment on a paper by Udwadia and Kalaba
- Explicit Poincaré equations of motion for general constrained systems. Part I. Analytical results
- Explicit Poincaré equations of motion for general constrained systems. Part II. Applications to multi-body dynamics and nonlinear control
- Equations of motion for general constrained systems in Lagrangian mechanics
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