Stabilization of a Time Dependent Hamiltonian SystemIn this paper we consider the unstable chaotic attractor of the Toda potential and stabilize it by a control in integral form. In order to obtain stability results, we propose a special technique…Asher Yahalom, Natalia Puzanov·Feb 20, 2020SaveLearn
Energy-momentum tensor for the electromagnetic field in a dispersive medium as an application of Noether theoremOn the basis of a non-local Lagrangian for Maxwell equations in a dispersive medium, the energy-momentum tensor of the field is derived. We obtain the Field equations through variational methods and…Carlos Heredia, Josep Llosa·Feb 14, 2020SaveLearn
Structures loaded with a force acting along a fixed straight line, or the "Reut's column problem"An elastic double pendulum subject to a force acting along a fixed straight line, the so-called "Reut's column problem", is a structure exhibiting flutter and divergence instability,…Davide Bigoni, Diego Misseroni·Feb 8, 2020SaveLearn
Fractional derivative order determination from harmonic oscillator damping factorThis article analysis differential equations which represents damped and fractional oscillators. First, it is shown that prior to using physical quantities in fractional calculus, it is imperative…Luís Felipe Alves da Silva, Valdiney Rodrigues Pedrozo Júnior, João Vítor Batista Ferreira·Feb 6, 2020SaveLearn
Dynamics in fractal spacesWe study the dynamics of a particle in a space that is non-differentiable. Non-smooth geometrical objects have an inherently probabilistic nature and, consequently, introduce stochasticity in the…Álvaro G. López·Feb 4, 2020SaveLearn
Collective movement of charges in an electromagnetic field and collective electrodynamics forcesThe symmetric tensor energy-impulse of interaction of collective of electric charges with an electromagnetic field is received. A system of covariant energy and momentum conservation equations or a…Yuriy A. Spirichev·Feb 2, 2020SaveLearn
Comment on "Magnetic Levitation Stabilized by Streaming Fluid Flows"It is shown that basic origin of radial stability is a centripetal component of the same vibrational force that makes a "flea" levitate.Andrey Kuznetsov·Jan 30, 2020SaveLearn
The image of a point charge in an infinite conducting cylinderThe electrostatics problem of a point charge next to a conducting plane is best solved by placing an image charge placed on the opposite side. For a charge between two parallel planes this can be…Matt Majic·Jan 29, 2020SaveLearn
Assigning probabilities to non-Lipschitz mechanical systemsWe present a method for assigning probabilities to the solutions of initial value problems that have a Lipschitz singularity. To illustrate the method, we focus on the following toy example:…Danny E. P. Vanpoucke, Sylvia Wenmackers·Jan 28, 2020SaveLearn
Prime Role of the Curvature of Potentials in Physics; Application to InertiaThe curvature of the inertial or gravitational potentials defined as a Hodge-Helmholtz decomposition of acceleration into an irrotational and a solenoidal components, enable to federate certain…Jean-Paul Caltagirone·Jan 28, 2020SaveLearn
Position-dependent mass systems: Classical and quantum picturesExtended abstract of "Algebraic approach to position-dependent mass systems in both classical and quantum pictures", a series of three lectures delivered by the author in the VIII School on…Oscar Rosas-Ortiz·Jan 24, 2020SaveLearn
Analytical Modeling of the Path-Loss for Reconfigurable Intelligent Surfaces -- Anomalous Mirror or Scatterer ?Reconfigurable intelligent surfaces (RISs) are an emerging field of research in wireless communications. A fundamental component for analyzing and optimizing RIS-empowered wireless networks is the…Marco Di Renzo, Fadil Habibi Danufane, Xiaojun Xi et al.·Jan 23, 2020SaveLearn
The physical leaky tank car problem, revisitedAn exhaustive analysis of the leaky tank car problem is presented, pointing out its intriguing physical properties, which well serve to students and teachers for illustrating standard Newtonian…Salvatore Esposito, Matteo Olimpo·Jan 23, 2020SaveLearn
Rheonomic systems with nonlinear nonholonomic constraints: the Voronec equationsOne of the earliest formulations of dynamics of nonholonomic systems traces back to 1895 and it is due to Caplygin, who developed his analysis under the assumption that a certain number of the…Federico Talamucci·Jan 22, 2020SaveLearn
Diffraction of magnetic field in a device of circular ringsA device consisted of a set of circular rings, the centers of which lie on an axis, behaves like a solenoid when the ratio of its radius and distance between two successive rings is greater than one.…Y. Contoyiannis, M. Kampitakis·Jan 20, 2020SaveLearn
The Features Radiation of a Charged Particle Moving Along an Arc of a CircleA detailed analysis is given of the angular distribution of an charged particle moving along the arc of a circle. The areas of different angular distribution behavior are highlighted and studied.S. E. Boychenko, V. B. Tlyachev·Jan 20, 2020SaveLearn
The Algebraic Expressions of Huygens Principle and Holographic Principle of LightHuygens principle (HP) is the cornerstone of wave optics, its mathematical model is a boundary value problem of wave equation. The solutions of this mathematical model should be partial derivative u…Malong Fu, Yang Zhao·Jan 18, 2020SaveLearn
The Lamb Problem with a Nonuniform StringThe time evolution of an oscillator coupled to an infinite string with a discontinuous mass density is investigated. It is shown that the equation of motion of the oscillator leads to a nonlinear…A. Jahan·Jan 17, 2020SaveLearn
Asymptotically exact theory of fiber-reinforced composite beamsAn asymptotic analysis of the energy functional of a fiber-reinforced composite beam with a periodic microstructure in its cross section is performed. From this analysis the asymptotically exact…Khanh Chau Le, Tuan Minh Tran·Jan 15, 2020SaveLearn
Effective model for elastic waves propagating in a substrate supporting a dense array of plates/beams with flexural resonancesWe consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bodies with flexural…Jean-Jacques Marigo, Kim Pham, Agnès Maurel et al.·Jan 15, 2020SaveLearn
Bifurcation of elastic solids with sliding interfacesLubricated sliding contact between soft solids is an interesting topic in biomechanics and for the design of small-scale engineering devices. As a model of this mechanical set-up, two elastic…D. Bigoni, N. Bordignon, A. Piccolroaz et al.·Jan 15, 2020SaveLearn
Obtaining the Drude Equation for Electrons in Metals Using a Fractional Variational PrincipleA fractional variational principle was derived in order to be used with lagrangians containing fractional derivatives of order 1/2. By forcing the action associated to this type of lagrangian to be…Luis Fernando Mora Mora·Jan 13, 2020SaveLearn
The Vertical Logic of Hamiltonian Methods (Part 1)We discuss the key role that Hamiltonian notions play in physics. Five examples are given that illustrate the versatility and generality of Hamiltonian notions. The given examples concern the…C. Baumgarten·Jan 10, 2020SaveLearn
Incremental constitutive tensors and strain localization for prestressed elastic lattices: Part II -- incremental dynamicsFloquet-Bloch wave asymptotics is used to homogenize the in-plane mechanical response of a periodic grillage of elastic Rayleigh rods, possessing a distributed mass density, together with rotational…G. Bordiga, L. Cabras, A. Piccolroaz et al.·Jan 7, 2020SaveLearn
Incremental constitutive tensors and strain localization for prestressed elastic lattices: Part I -- quasi-static responseA lattice of elastic rods organized in a parallelepiped geometry can be axially loaded up to an arbitrary amount without distortion and then be subject to incremental displacements. Using…G. Bordiga, L. Cabras, A. Piccolroaz et al.·Jan 7, 2020SaveLearn