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The study deals with a rotor-stator contact inducing vibration in rotating machinery. A numerical rotor-stator system, including a non-linear bearing with Hertz contact and clearance is considered. To determine the non-linear responses of…

General Physics · Physics 2012-09-28 Jean-Jacques Sinou , Fabrice Thouverez

Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 R. B. Karabalin , M. C. Cross , M. L. Roukes

In this work, we analyzed theoretically and experimentally the nonlinear dynamics of a magnetic pendulum driven by a coil-magnet interaction. The force between the magnetic elements and the resulting torque on the pendulum are derived using…

Pattern Formation and Solitons · Physics 2024-01-23 Bonaventure Nana , Krystian Polczyński , Paul Woafo , Jan Awrejcewicz , Grzegorz Wasilewski

Recent experiments on spin torque oscillators have revealed interactions between multiple magnetodynamic modes, including mode-coexistence, mode-hopping, and temperature-driven cross-over between modes. Initial multimode theory has…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Steven S. -L. Zhang , Ezio Iacocca , Olle Heinonen

We theoretically describe a mechanism of low-field linear magnetoconductivity in helical magnetic metals. Two ingredients for the mechanism in three-dimensional metals are identified to be the spin-orbit coupling and momentum-dependent…

Mesoscale and Nanoscale Physics · Physics 2022-09-28 Vladimir A. Zyuzin

Automated driving applications require accurate vehicle specific models to precisely predict and control the motion dynamics. However, modern vehicles have a wide array of digital and mechatronic components that are difficult to model,…

Systems and Control · Electrical Eng. & Systems 2021-05-11 G. Rödönyi , G. I. Beintema , R. Tóth , M. Schoukens , D. Pup , Á. Kisari , Zs. Vígh , P. Kőrös , A. Soumelidis , J. Bokor

Discussed is relationship between nonlinearity and symmetry of dynamical models. The special stress is laid on essential, non-perturbative nonlinearity, when none linear background does exist. This is nonlinearity essentially different from…

Mathematical Physics · Physics 2010-03-17 Jan Jerzy Sławianowski , Vasyl Kovalchuk

We present sufficient conditions under which a given linear nonautonomous system and its nonlinear perturbation are topologically conjugated. Our conditions are of a very general form and provided that the nonlinear perturbations are…

Classical Analysis and ODEs · Mathematics 2022-10-12 Lucas Backes , Davor Dragičević

The development of efficient and robust dynamic models is fundamental in the field of systems and control engineering. In this paper, a new formulation for the dynamic model of nonlinear mechanical systems, that can be applied to different…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Davide Tebaldi , Roberto Zanasi

We consider mechanism of exchange coupling based on interaction between electrons in nonmagnetic layer. Depending on ratio of inverse time of diffusion of electrons between ferromagnetic layers and ferromagnetic splitting of conducting…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Zyuzin A. Yu

Nonlinear interactions between vibrational modes play a crucial role in understanding the dynamical response of nanomechanical resonators. Here, we report the experimental observation and theoretical modeling of nonlinear mode coupling in a…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Soumya Kanti Das , Nishta Arora , Hridhay A S , Akshay Naik , Chandan Samanta

We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomenon in generality, we elaborate (simplifying) physical…

Mathematical Physics · Physics 2024-02-13 Jan Scherz , Anja Schlömerkemper

We apply the well-established theoretical method developed for geometrical nonlinearities of micro/nano-mechanical clamped beams to circular drums. The calculation is performed under the same hypotheses, the extra difficulty being to…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 D. Cattiaux , S. Kumar , X. Zhou , A. Fefferman , E. Collin

Robots often interact with the world via attached parts such as wheels, joints, or appendages. In many systems, these interactions, and the manner in which they lead to locomotion, can be understood using the machinery of geometric…

Robotics · Computer Science 2021-08-17 Blake Buchanan , Tony Dear , Scott Kelly , Matthew Travers , Howie Choset

Magnetic microrobots can be navigated by an external magnetic field to autonomously move within living organisms with complex and unstructured environments. Potential applications include drug delivery, diagnostics, and therapeutic…

Robotics · Computer Science 2024-03-22 Yongyi Jia , Shu Miao , Junjian Zhou , Niandong Jiao , Lianqing Liu , Xiang Li

The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from disciplines such as materials science, nonlinear dynamics,…

Pattern Formation and Solitons · Physics 2017-10-11 C. Chong , Mason A. Porter , P. G. Kevrekidis , C. Daraio

We study the Hamiltonian formulation for a parametrized electromagnetic field with the purpose of clarifying the interplay between parametrization and gauge symmetries. We use a geometric approach which is tailor-made for theories where…

High Energy Physics - Theory · Physics 2017-03-24 J. Fernando Barbero , Juan Margalef-Bentabol , Eduardo J. S. Villaseñor

Superconductivity in strongly correlated electron systems frequently exhibits broken rotational symmetry, raising fundamental questions about the underlying order parameter symmetry. In this work, we demonstrate that electronic…

Nonlinear dynamics govern a wide array of natural phenomena and are essential for understanding nonequilibrium behaviors in condensed matter systems. In magnetically ordered materials, magnons - the quanta of spin waves - exhibit intrinsic…

Materials Science · Physics 2025-06-25 David Rohrbach , Zhuquan Zhang , Takayuki Kurihara , Keith A. Nelson

This paper investigates the car-following problem and proposes a nonlinear controller that considers driving comfort, safety concerns, steady-state response and transient response. This controller is designed based on the demands of lower…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wubing B. Qin