Constrained Lagrangian dissipative contact dynamics

DOI10.1063/5.0071236OpenAlexW4205921953MaRDI QIDQ5020206

Narciso Román-Roy, Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda

Publication date: 4 January 2022

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05295

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Other variational principles in mechanics (70H30) Nonholonomic dynamical systems (37J60) Contact systems (37J55) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (7)

Nonautonomous k-contact field theories ⋮ Herglotz action for homogeneous cosmologies ⋮ Generalized virial theorem for contact Hamiltonian systems ⋮ Time-dependent contact mechanics ⋮ Lagrangian-Hamiltonian formalism for cocontact systems ⋮ Contact Lagrangian systems subject to impulsive constraints ⋮ A geometric approach to contact Hamiltonians and contact Hamilton–Jacobi theory

Cites Work

• Some geometric aspects of variational calculus in constrained systems
• Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach
• Contact manifolds and dissipation, classical and quantum
• Espaces variationnels et mécanique
• A contact geometry framework for field theories with dissipation
• A \(K\)-contact Lagrangian formulation for nonconservative field theories
• Contact Hamiltonian and Lagrangian systems with nonholonomic constraints
• The Herglotz principle and vakonomic dynamics
• Infinitesimal symmetries in contact Hamiltonian systems
• Nonholonomic and constrained variational mechanics
• Contact Hamiltonian mechanics
• Higher-order contact mechanics
• The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems: The vakonomic bracket
• Contact geometric descriptions of vector fields on dually flat spaces and their applications in electric circuit models and nonequilibrium statistical mechanics
• Tangent bundle geometry Lagrangian dynamics
• A new look at second-order equations and Lagrangian mechanics
• Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation
• Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions
• An action principle for action-dependent Lagrangians: Toward an action principle to non-conservative systems
• On the Lagrangian description of dissipative systems
• Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
• Applications of Contact Geometry and Topology in Physics
• Contact Hamiltonian systems
• Nonstandard Hamiltonian structures of the Liénard equation and contact geometry
• Contact geometry and thermodynamics
• Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold
• On the geometry of non-holonomic Lagrangian systems
• An Introduction to Contact Topology
• Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread
• Unified Lagrangian‐Hamiltonian Formalism for Contact Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Constrained Lagrangian dissipative contact dynamics