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Jacobi multipliers and Hamel’s formalism (Q5875835)

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scientific article; zbMATH DE number 7650471

Language	Label	Description	Also known as
English	Jacobi multipliers and Hamel’s formalism	scientific article; zbMATH DE number 7650471

Statements

scholarly article

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Jacobi multipliers and Hamel’s formalism (English)

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José F. Cariñena

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Patrícia Santos

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Journal of Physics A: Mathematical and Theoretical

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publication date

6 February 2023

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zbMATH Keywords

Jacobi multiplier

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nonholonomic systems

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Hamel's equations

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quasivelocities

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/1751-8121/abf2ed

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Nonholonomic reduction

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Inverse Jacobi multipliers

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Conformal Killing vector fields and a virial theorem

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Nonstandard Hamiltonian structures of the Liénard equation and contact geometry

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Non-Noether constants of motion

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Geometry from Dynamics, Classical and Quantum

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Jacobi multipliers, non-local symmetries, and nonlinear oscillators

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Quasi-coordinates from the point of view of Lie algebroid structures

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Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers

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Theorem on a new conservation law for the dynamics of a position-dependent mass particle

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A Generalization of a Theorem of Jacobi on Systems of Linear Differential Equations

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On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamics

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Tangent bundle geometry Lagrangian dynamics

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Affine bundles and integrable almost tangent structures

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Chaplygin's equations and the theorem of the additional multiplier in the case of quasicoordinates

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Generalisation of Chaplygin’s reducing multiplier theorem with an application to multi-dimensional nonholonomic dynamics

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Jacobi's multiplier for Poincaré's equations

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Equivalent Lagrangians: Multidimensional case

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Reduction of some classical non-holonomic systems with symmetry

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On the criteria for integrability of the Liénard equation

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New non-standard Lagrangians for the Liénard-type equations

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On the geometry of non-holonomic Lagrangian systems

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The Boltzmann-Hamel equations for the optimal control of mechanical systems with nonholonomic constraints

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Jacobi’s last multiplier and Lagrangians for multidimensional systems

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The Jacobi Last Multiplier and its applications in mechanics

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A geometrical framework for the study of non-holonomic Lagrangian systems

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Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1088/1751-8121/ABF2ED

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Sitelinks

Mathematics(1 entry)

mardi Publication:5875835

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