Results 11 to 20 of about 2,778 (162)
Numerical Solution of Differential Equations of Elastic Curves in 3-dimensional Anti-de Sitter Space [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we aim to extend the Darboux frame field into 3-dimensional Anti-de Sitter space and obtain two cases for this extension by considering a parameterized curve on a hypersurface; then we carry out the Euler-Lagrange equations and derive ...
Samira Latifi +2 more
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On the variational principle in the unfolded dynamics
Physics Letters B, 2022 The interplay between off-shell and on-shell unfolded systems is analyzed. The formulation of invariant constraints that put an off-shell system on shell is developed by adding new variables and derivation in the target space, that extends the original Q-
A.A. Tarusov, M.A. Vasiliev
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Higher Order Hamiltonian Systems with Generalized Legendre Transformation
Mathematics, 2018 The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found.
Dana Smetanová
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A direct method for solving fractional order variational problems by hat basis functions
Ain Shams Engineering Journal, 2018 This paper presents a numerical technique for solving a class of fractional variational problems using a direct method based on operational matrix of generalized hat basis function. The fractional derivative is defined in the Caputo sense.Minimization of
Osama H. Mohammed
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Robotics, 2022 In the fields of control engineering and robotics, either the Lagrange or Newton–Euler method is generally used to analyze and design systems using equations of motion.
Takashi Kusaka, Takayuki Tanaka
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The Lie group Euler methods of multibody system dynamics with holonomic constraints
Advances in Mechanical Engineering, 2018 The Euler methods on Lie group are developed for the differential–algebraic equations of multibody system dynamics with holonomic constraints. The implicit Euler method is used to solve the differential–algebraic equations as Euler–Lagrange equations on ...
Jieyu Ding, Zhenkuan Pan
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Weyl-Euler-Lagrange Equations of Motion on Flat Manifold
Advances in Mathematical Physics, 2015 This paper deals with Weyl-Euler-Lagrange equations of motion on flat manifold. It is well known that a Riemannian manifold is said to be flat if its curvature is everywhere zero. Furthermore, a flat manifold is one Euclidean space in terms of distances.
Zeki Kasap
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Special Functions of Mathematical Physics: A Unified Lagrangian Formalism
Mathematics, 2020 Lagrangian formalism is established for differential equations with special functions of mathematical physics as solutions. Formalism is based on either standard or non-standard Lagrangians.
Zdzislaw E. Musielak +2 more
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Euler-Lagrange Equations of Networks with Higher-Order Elements [PDF]
Radioengineering, 2017 The paper suggests a generalization of the classic Euler-Lagrange equation for circuits compounded of arbitrary elements from Chua’s periodic table.
Z. Biolek, D. Biolek
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Mathematics, 2019 The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
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