Results 51 to 60 of about 94,271 (311)
Cyclic Lagrangian Submanifolds and Lagrangian Fibrations
Tokyo Journal of Mathematics, 2005 Recall that a symplectic manifold \((M,\omega)\) is called prequantizable if there exists a nonnegative number \(\gamma_\omega\) such that the period group \(\Gamma_\omega= \{[\omega](A)= \int_A \omega: A\in H_2(M,\mathbb{Z})\}\subset \mathbb{R}\) is of the form \(\Gamma_\omega= \gamma_\omega\cdot\mathbb{Z}\).
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Journal of Mathematical Physics, 2007 Searching for a Lagrangian may seem either a trivial endeavor or an impossible task. In this paper, we show that the Jacobi last multiplier associated with the Lie symmetries admitted by simple models of classical mechanics produces (too?) many Lagrangians in a simple way. We exemplify the method by such a classic as the simple harmonic oscillator, the
NUCCI, Maria Clara, P. G. L. LEACH
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Advanced Robotics Research, EarlyView.A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
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THE QUATERNIONIC DIRAC LAGRANGIAN [PDF]
Modern Physics Letters A, 1996 We discuss the use of the variational principle within quaternionic quantum mechanics. This is nontrivial because of the noncommutative nature of quaternions. We derive the Dirac-Lagrangian density corresponding to the two-component Dirac equation. This Lagrangian is complex projected as anticipated in previous articles and this feature is necessary ...
S. DE LEO, ROTELLI, Pietro
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An explicit semi-Lagrangian, spectral method for solution of Lagrangian transport equations in Eulerian-Lagrangian formulations [PDF]
Computers & Fluids, 2020 20 pages, 11 ...
Hareshram Natarajan, Gustaaf B. Jacobs
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
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Generative Lagrangian data assimilation for ocean dynamics under extreme sparsity
Machine Learning. EarthReconstructing ocean dynamics from observational data is fundamentally limited by the sparse, irregular, and Lagrangian nature of spatial sampling, particularly in subsurface and remote regions.
Niloofar Asefi +4 more
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Two-Dimensional Hydrodynamics as a Class of Special Hamiltonian Systems
East European Journal of PhysicsThe paper defines a class of Hamiltonian systems whose phase flows are exact solutions of the two-dimensional hydrodynamics of an incompressible fluid. The properties of this class are considered.
Kostyantyn M. Kulyk +1 more
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On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theory
Physics Letters B, 2022 We develop a complete off-shell Lagrangian description of the free 4D,N=1 supersymmetric theory of infinite spin. Bosonic and fermionic fields are formulated in terms of spin-tensor fields with dotted and undotted indices.
I.L. Buchbinder +3 more
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Lagrangian structures and multidimensional consistency [PDF]
, 2010 The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
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