Results 81 to 90 of about 5,943,505 (321)
Variational Integrators in Holonomic Mechanics
Variational integrators for dynamic systems with holonomic constraints are proposed based on Hamilton’s principle. The variational principle is discretized by approximating the generalized coordinates and Lagrange multipliers by Lagrange polynomials, by ...
Shumin Man, Qiang Gao, Wanxie Zhong
doaj +1 more source
Invariant variational principle for Hamiltonian mechanics
It is shown that the action for Hamiltonian equations of motion can be brought into invariant symplectic form. In other words, it can be formulated directly in terms of the symplectic structure $\omega$ without any need to choose some 1-form $\gamma ...
Alexander S Ushakov +20 more
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A Generalized Variational Principle with Applications to Excited State Mean Field Theory. [PDF]
We present a generalization of the variational principle that is compatible with any Hamiltonian eigenstate that can be specified uniquely by a list of properties.
Gwin, Elise +2 more
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Rethinking plastic waste: innovations in enzymatic breakdown of oil‐based polyesters and bioplastics
Plastic pollution remains a critical environmental challenge, and current mechanical and chemical recycling methods are insufficient to achieve a fully circular economy. This review highlights recent breakthroughs in the enzymatic depolymerization of both oil‐derived polyesters and bioplastics, including high‐throughput protein engineering, de novo ...
Elena Rosini +2 more
wiley +1 more source
Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality.
Muhammad Aslam Noor +2 more
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The TAP–Plefka Variational Principle for the Spherical SK Model [PDF]
We reinterpret the Thouless–Anderson–Palmer approach to mean field spin glass models as a variational principle in the spirit of the Gibbs variational principle and the Bragg–Williams approximation.
David Belius, N. Kistler
semanticscholar +1 more source
We prove the existence of reaction-diffusion traveling fronts in mean zero space-time periodic shear flows for nonnegative reactions including the classical KPP (Kolmogorov-Petrovsky-Piskunov) nonlinearity.
Nolen, James, Xin, Jack
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Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
Critical Point Theorems for Nonlinear Dynamical Systems and Their Applications
We present some new critical point theorems for nonlinear dynamical systems which are generalizations of Dancš-Hegedüs-Medvegyev's principle in uniform spaces and metric spaces by applying an abstract maximal element principle established ...
Wei-Shih Du
doaj +2 more sources
Addendum to "Coherent Lagrangian vortices: The black holes of turbulence"
In Haller and Beron-Vera (2013) we developed a variational principle for the detection of coherent Lagrangian vortex boundaries. The solutions of this variational principle turn out to be closed null-geodesics of the Lorentzian metric associated with a ...
Beron-Vera, F. J., Haller, G.
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