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Nonlinear contraction theory is a comparatively recent dynamic control system design tool based on an exact differential analysis of convergence, in essence converting a nonlinear stability problem into a linear time-varying stability…

Pattern Formation and Solitons · Physics 2007-05-23 Winfried Lohmiller , Jean-Jacques E. Slotine

Many studies simulates the machining process by using a single degree of freedom spring-mass sytem to model the tool stiffness, or the workpiece stiffness, or the unit tool-workpiece stiffness in modelings 2D. Others impose the tool action,…

Computational Engineering, Finance, and Science · Computer Science 2009-08-19 Claudiu-Florinel Bisu , Jean-Yves K'Nevez , Philippe Darnis , Raynald Laheurte , Alain Gérard

Recent experiments on active materials, such as dense bacterial suspensions and microtubule-kinesin motor mixtures, show a promising potential for achieving self-sustained flows. However, to develop active microfluidics it is necessary to…

Soft Condensed Matter · Physics 2019-01-23 Santhan Chandragiri , Amin Doostmohammadi , Julia M Yeomans , Sumesh P Thampi

In vivo and in vitro systems of cells and extra-cellular matrix (ECM) systems are well known to form ordered patterns of orientationally aligned fibers. Here, we interpret them as active analogs of the (disordered) isotropic to the…

Soft Condensed Matter · Physics 2025-04-11 Haiqian Yang , Ming Guo , L. Mahadevan

We introduce quantum heat engines that perform quantum Otto cycle and the quantum Stirling cycle by using a coupled pair of harmonic oscillator as its working substance. In the quantum regime, different working medium is considered for the…

Quantum Physics · Physics 2021-08-25 Tanmoy Pandit , Pritam Chattopadhyay , Goutam Paul

Thin liquid films with floating active protein machines are considered. Cyclic mechanical motions within the machines, representing microscopic swimmers, lead to molecular propulsion forces applied to the air-liquid interface. We show that,…

Pattern Formation and Solitons · Physics 2015-05-13 Sergio Alonso , Alexander S. Mikhailov

Sensitive dependence of nonlinear systems on initial conditions or parameters can be useful in applications. We propose in this paper that bubbling behavior in simple driven symmetrical maps may be used as a working principle of sensitive…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai

Nonlinear dynamics can impact the performance of a particle accelerator in a number of different ways, depending on the type of the accelerator and the parameter regime in which it operates. Effects can range from minor changes in beam…

Accelerator Physics · Physics 2022-01-06 H. Bartosik , Y. Papaphilippou , A. Wolski

A model for polar filaments interacting via molecular motor complexes is investigated which exhibits bifurcations to spatial patterns. It is shown that the homogeneous distribution of filaments, such as actin or microtubules, may become…

Soft Condensed Matter · Physics 2007-05-23 Falko Ziebert , Walter Zimmermann

The recently introduced structured input-output analysis is a powerful method for capturing nonlinear phenomena associated with incompressible flows, and this paper extends that method to the compressible regime. The proposed method relies…

Fluid Dynamics · Physics 2025-03-06 Diganta Bhattacharjee , Talha Mushtaq , Peter Seiler , Maziar S. Hemati

Nonlinear modal decoupling (NMD) was recently proposed to nonlinearly transform a multi-oscillator system into a number of decoupled oscillators which together behave the same as the original system in an extended neighborhood of the…

Systems and Control · Computer Science 2018-11-12 Bin Wang , Kai Sun , Xin Xu

This work intends to analyze the nonlinear stochastic dynamics of drillstrings in horizontal configuration. For this purpose, it considers a beam theory, with effects of rotatory inertia and shear deformation, which is capable of…

Computational Engineering, Finance, and Science · Computer Science 2021-05-31 Americo Cunha , Christian Soize , Rubens Sampaio

Signaling molecules play an important role for many cellular functions. We investigate here a general system of two membrane reaction-diffusion equations coupled to a diffusion equation inside the cell by a Robin-type boundary condition and…

Analysis of PDEs · Mathematics 2015-06-16 Andreas Rätz , Matthias Röger

This paper presents the analytic modeling of mobile heavy-duty manipulators with actively articulated suspension and its optimal control to maximize its static and dynamic stabilization. By adopting the screw theory formalism, we consider…

Robotics · Computer Science 2025-02-11 Alvaro Paz , Jouni Mattila

The paper focuses on the stiffness modeling of a new type of compliant manipulator and its non-linear behavior while interacting with the environment. The manipulator under study is a serial mechanical structure composed of dualtriangle…

Robotics · Computer Science 2021-08-03 Wanda Zhao , Anatol Pashkevich , Damien Chablat

Semi-active vibration reduction techniques are defined as techniques in which controlled actions do not operate directly on the system's degrees of freedom (as in the case of active vibration control) but on the system's parameters, i.e.,…

Dynamical Systems · Mathematics 2021-05-17 Alexander Nowak , L. Flavio Campanile , Alexander Hasse

We consider the systematic force on a heavy probe induced by interaction with an overdamped diffusive medium where particles undergo a rotating force around a fixed center. The stiffness matrix summarizes the stability of the probe around…

Statistical Mechanics · Physics 2018-10-23 Thibaut Demaerel , Christian Maes , Karel Netočný

We perform stability analysis of a kinetic bacterial chemotaxis model of bacterial self-organization, assuming that bacteria respond sharply to chemical signals. The resulting discontinuous tumbling kernel represents the key challenge for…

Analysis of PDEs · Mathematics 2024-06-27 Vincent Calvez , Gianluca Favre , Franca Hoffmann

We consider the dynamics of a rigid filament in a motor protein assay under external loading. The motor proteins are modeled as active harmonic linkers with tail ends immobilized on a substrate. Their heads attach to the filament…

Biological Physics · Physics 2021-12-23 Amir Shee , Subhadip Ghosh , Debasish Chaudhuri

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
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