Results 31 to 40 of about 4,851,792 (234)
Variational problems with fractional derivatives: Euler–Lagrange equations [PDF]
, 2008 We generalize the fractional variational problem by allowing the possibility that the lower bound in the fractional derivative does not coincide with the lower bound of the integral that is minimized.
T. Atanacković, S. Konjik, S. Pilipovic
semanticscholar +1 more source
Estimating Euler equations [PDF]
, 2002 In this paper we consider conditions under which the estimation of a log-linearized Euler equation for consumption yields consistent estimates of preference parameters.
Attanasio, O.P. +5 more
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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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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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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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On the structure of minimizers of causal variational principles in the non-compact and equivariant settings [PDF]
, 2012 We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries.
Finster, Felix, Bernard, Yann
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An electrical interpretation of mechanical systems via the pseudo-inductor in the Brayton-Moser equations [PDF]
, 2005 In this paper an analogy between mechanical and electrical systems is presented, where, in contrast to the traditional analogy, position dependence of the mass inertia matrix is allowed. In order to interpret the mechanical system in an electrical manner,
Rinaldis, Alessandro de, +3 more
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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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