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Conformal and Contact Kinetic Dynamics and Their Geometrization

https://doi.org/10.2139/ssrn.4770283
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Vector fields and generalized vector fields on fibered manifolds
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Generalization of the Dynamical Lack-of-Fit Reduction from GENERIC to GENERIC
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Contact structure in thermodynamic theory
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Collisionless Boltzmann equations and integrable moment equations
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Contact Hamiltonian mechanics
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Lagrangian dynamics on matched pairs
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Generalized conformal Hamiltonian dynamics and the pattern formation equations
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Second order Lagrangian dynamics on double cross product groups
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Vlasov moments, integrable systems and singular solutions
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Classification and Casimir invariants of Lie–Poisson brackets
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Methods of Differential Geometry in Analytical Mechanics
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Conformal Hamiltonian systems
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Relativistic kinetic theory with applications in astrophysics and cosmology
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The Geometry of Jet Bundles
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Differential Geometry and Lie Groups for Physicists
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Geometry of plasma dynamics. I. Group of canonical diffeomorphisms
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Legendre submanifolds in contact manifolds as attractors and geometric nonequilibrium thermodynamics
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What kinds of dynamics are there? Lie pseudogroups, dynamical systems and geometric integration
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Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread
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Generalized virial theorem for contact Hamiltonian systems
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Foundations Of Mechanics
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LIFTS, JETS AND REDUCED DYNAMICS
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Hamiltonian dynamics on matched pairs
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Contact geometry and thermodynamics
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Discrete dynamical systems over double cross-product Lie groupoids
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The Hamiltonian Structure of the Maxwell-Vlasov Equations.
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Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations
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Hamiltonian field description of the one-dimensional Poisson-Vlasov equations
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Groups of Diffeomorphisms and the Motion of an Incompressible Fluid
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Contact Geometry of Mesoscopic Thermodynamics and Dynamics
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Contact Hamiltonian Dynamics: The Concept and Its Use
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Lifts of Symmetric Tensors: Fluids, Plasma, and Grad Hierarchy
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The Hamilton–Jacobi Theory for Contact Hamiltonian Systems
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Contact Dynamics: Legendrian and Lagrangian Submanifolds
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Decomposing Euler–Poincaré Flow on the Space of Hamiltonian Vector Fields
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Remarks on Contact and Jacobi Geometry
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Geodesic Vlasov equations and their integrable moment closures
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Geometry ofplasma dynamics II: Lie algebra of Hamiltonian vector fields
inferredcites →https://doi.org/10.3934/jgm.2013.5.151openalex-extracted
Canonoid transformations and master symmetries
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Matched pair analysis of the Vlasov plasma
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A Group Theoretic Approach to the Equations of Plasma Physics
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