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This paper deals with the analysis of a coupled problem arising from linear magneto-elastostaticity. The model, which can be derived by an energy principle, gives valuable insight into the coupling mechanism and features a saddle point…

Analysis of PDEs · Mathematics 2018-02-20 Mané Harutyunyan , Bernd Simeon

The coupling of two rotating spherical magnets is investigated experimentally. For two specific angles between the input and output rotation axes, a cogging-free coupling is observed, where the driven magnet is phase-locked to the driving…

Applied Physics · Physics 2021-04-28 Stefan Hartung , Ingo Rehberg

Magnetic levitation based on the flux pinning nature of type II superconductors has the merit of self-stability, making it appealing for applications such as high speed bearings, maglev trains, space generators, etc. However, such…

Systems and Control · Electrical Eng. & Systems 2024-03-29 Qi Xu , Yi Lin , Yunfei Tan , Jianzhao Geng

Confining surfaces play crucial roles in dynamics, transport and order in many physical systems, but their effects on active matter, a broad class of dynamically self-organizing systems, are poorly understood. We investigate here the…

Soft Condensed Matter · Physics 2013-07-23 Hugo Wioland , Francis G. Woodhouse , Jörn Dunkel , John O. Kessler , Raymond E. Goldstein

The magnetic levitation system (Maglev) is a nonlinear system by which an object is suspended with no support other than magnetic fields. The main control perspective of the Maglev system is to levitate a steel ball in air by the…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Dorukhan Astekin , Fatih Adıgüzel

It is well known that viable architectural structures can be identified by locating the critical points of the gravitational potential energy congruent with some fixed surface metric. This is because, if the walls are thin, the lowest…

Soft Condensed Matter · Physics 2017-10-11 Jemal Guven , Gregorio Manrique

Stationary whirling of slender and homogeneous (continuous) elastic shafts rotating around their axis, with pin-pin boundary condition at the ends, is revisited by considering the complete deformations in the cross section of the shaft. The…

Soft Condensed Matter · Physics 2020-03-18 S. Mora

In this paper a computationally efficient approach is suggested for the stochastic modeling of an inhomogeneous reluctivity of magnetic materials. These materials can be part of electrical machines, such as a single phase transformer (a…

Computational Engineering, Finance, and Science · Computer Science 2017-09-26 Radoslav Jankoski , Ulrich Römer , Sebastian Schöps

In this work, we show that a recently proposed method for experimental nonlinear modal analysis based on the extended periodic motion concept is well suited to extract modal properties for strongly nonlinear systems (i.e. in the presence of…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Tobias Weigele , Malte Krack

The application of variational principles for analyzing problems in the physical sciences is widespread. Cantilever-like problems, where one end is fixed and the other end is free, have received less attention in terms of their stability…

Soft Condensed Matter · Physics 2025-05-01 Siva Prasad Chakri Dhanakoti

We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure, motivated by stability problems of electrodynamic space tethers. Both statical (buckling) and dynamical (whirling) instability are…

Dynamical Systems · Mathematics 2008-10-22 J. Valverde , G. H. M. van der Heijden

Woven shell structures are beneficial for applications requiring lightweight, damage resilience, and design tunability, such as in wearable devices, soft robotics, and aerospace systems. A fundamental component of woven structures is the…

Applied Physics · Physics 2025-12-02 Jaimie Krankel , Guowei Wayne Tu , Evgueni T. Filipov

Contraction theory is an analytical tool to study differential dynamics of a non-autonomous (i.e., time-varying) nonlinear system under a contraction metric defined with a uniformly positive definite matrix, the existence of which results…

Machine Learning · Computer Science 2026-03-18 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques E. Slotine

We consider a continuum model for the dynamics of systems of self propelling particles with kinematic constraints on the velocities. The model aims to be analogous to a discrete algorithm used in works by T. Vicsek et al. In this paper we…

Fluid Dynamics · Physics 2009-12-16 V. I. Ratushnaya , V. L. Kulinskii , A. V. Zvelindovsky , D. Bedeaux

The issue of magnetic confinement in magnetic fusion devices is addressed within a purely magnetic approach. Using some Hamiltonian models for the magnetic field lines, the dual impact of low magnetic shear is shown in a unified way. Away…

Plasma Physics · Physics 2011-03-21 Marie-Christine Firpo , Dana Constantinescu

The linear gyrokinetic stability properties of magnetically confined electron-positron plasmas are investigated in the parameter regime most likely to be relevant for the first laboratory experiments involving such plasmas, where the…

Plasma Physics · Physics 2016-06-16 Per Helander , J. W. Connor

We investigate the stability and dynamics of the orbital angular momentum modes of a repulsive Bose-Einstein condensate trapped in two tunnel-coupled rings in a stack configuration. Within mean-field theory, we derive a two-state model for…

Quantum Physics · Physics 2025-04-11 Eloi Nicolau , Jordi Mompart , Bruno Juliá-Díaz , Verònica Ahufinger

A flow control framework based on linear stability analysis is proposed focusing on reducing the aerodynamic drag due to dynamic stall through a finite-window temporal actuation. The methodology is applied on a periodically plunging SD7003…

Fluid Dynamics · Physics 2025-01-16 Lucas Feitosa de Souza , William Roberto Wolf , Maryam Safari , Chi-An Yeh

Stability analysis of discrete-time switched systems under minimum dwell-time is studied using a new type of LMI conditions. These conditions are convex in the matrices of the system and shown to be equivalent to the nonconvex conditions…

Optimization and Control · Mathematics 2013-11-07 Corentin Briat

We study a class of elastic systems described by a (hyperbolic) partial differential equation. Our working example is the equation of a vibrating string subject to linear disturbance. The main goal is to establish conditions for…

Analysis of PDEs · Mathematics 2007-05-23 M. I. Caiado , A. V. Sarychev