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Numerical simulations of large scale geophysical flows typically require unphysically strong dissipation for numerical stability. Towards energetic balance various schemes have been devised to re-inject this energy, in particular by…

动力系统 · 数学 2024-02-06 Paul Holst , Jens D. M. Rademacher , Jichen Yang

Fluttering piezoelectric plates may harvest energy from a fluid flow by converting the plate's mechanical deformation into electric energy in an output circuit. This work focuses on the influence of the arrangement of the piezoelectric…

流体动力学 · 物理学 2015-12-09 Miguel Piñeirua , Olivier Doaré , Sébastien Michelin

Non-equilibrium steady states are subject to intense investigations but still poorly understood. For instance, the derivation of Fourier law in Hamiltonian systems is a problem that still poses several obstacles. In order to investigate…

概率论 · 数学 2014-10-15 Chiara Franceschini , Cristian Giardina

The paper presents an improved mass balancing procedure for fast rotating machinery, while it is being rotated at speeds considerably slower than the "critical speeds", where dangerously high vibration amplitudes may arise. By utilizing…

应用物理 · 物理学 2018-10-16 Amit Dolev , Shachar Tresser , Izhak Bucher

Nonlinear elastic effects play an important role in the dynamics of microelectromechanical systems (MEMS). Duffing oscillator is widely used as an archetypical model of mechanical resonators with nonlinear elastic behavior. In contrast,…

其他凝聚态物理 · 物理学 2009-11-12 S. Zaitsev , O. Shtempluck , E. Buks , O. Gottlieb

Due to their relevance to geophysical systems, the investigation of multiscale systems through the lens of statistical mechanics has gained popularity in recent years. The aim of our work is the characterization of the nonequilibrium…

统计力学 · 物理学 2024-11-12 Niccolò Cocciaglia , Dario Lucente

We investigate the impact of nonlinear damping on the dynamics of a nanomechanical doubly clamped beam. The beam is driven into nonlinear regime and the response is measured by a displacement detector. For data analysis we introduce a…

其他凝聚态物理 · 物理学 2009-09-29 Stav Zaitsev , Ronen Almog , Oleg Shtempluck , Eyal Buks

Non-linear techniques are used to optimize the harvested energy from piezoelectric and electromagnetic generators. This paper introduces an analytical study for the voltage amplification obtained from these techniques. The analytical study…

其他计算机科学 · 计算机科学 2007-11-29 Yasser Ammar , S. Basrour

The nonlinear dynamics associated with sliding friction forms a broad interdisciplinary research field that involves complex dynamical processes and patterns covering a broad range of time and length scales. Progress in experimental…

软凝聚态物质 · 物理学 2016-06-02 N. Manini , O. M. Braun , E. Tosatti , R. Guerra , A. Vanossi

We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bifurcations to localised solutions. An experimental…

At low Reynolds numbers, the hydrodynamic interaction between dumbbells driven by an external rotating field can be attractive or repulsive. Dumbbells of dissimilar asymmetric shape or different coupling to the external field undergo…

流体动力学 · 物理学 2015-05-18 Steffen Schreiber , Thomas Fischer , Walter Zimmermann

A shortcoming of existing reachability approaches for nonlinear systems is the poor scalability with the number of continuous state variables. To mitigate this problem we present a simulation-based approach where we first sample a number of…

系统与控制 · 计算机科学 2017-09-21 Murat Arcak , John Maidens

We introduce the first analytical model of asymmetric community dynamics to yield Hubbell's neutral theory in the limit of functional equivalence among all species. Our focus centers on an asymmetric extension of Hubbell's local community…

种群与进化 · 定量生物学 2010-12-06 Andrew E. Noble , Nico M. Temme , William F. Fagan , Timothy H. Keitt

We present several topics involving the computation of dynamical systems. The emphasis is on work in progress and the presentation is informal -- there are many technical details which are not fully discussed. The topics are chosen to…

chao-dyn · 物理学 2008-02-03 John Guckenheimer , Patrick Worfolk

Contraction analysis establishes exponential incremental convergence of a nonlinear system by solving a linear matrix inequality for a contraction metric, and has become a standard resource for solving problems in nonlinear control and…

动力系统 · 数学 2026-03-03 Winfried Lohmiller , Jean-Jacques Slotine

We study theoretically the viscoelastic properties of sheared binary fluids that have strong dynamical asymmetry between the two components. The dynamical asymmetry arises due to asymmetry between the viscoelastic stresses, particularly the…

软凝聚态物质 · 物理学 2009-11-10 Vinay Dwivedi , Rajeev Ahluwalia , Turab Lookman , Avadh Saxena

The dynamics of two nonlinear Bloch systems is studied from the viewpoint of bifur- cation and a particular parameter space has been explored for the stability analysis based on stability criterion. This enables the choice of the desired…

混沌动力学 · 物理学 2007-05-23 B. Rakshit , P. Saha , A. Roy. Chowdhury

The efficiency of energy transduction in a temporally asymmetric rocked ratchet is studied. Time asymmetry favours current in one direction and suppresses it in the opposite direction due to which large efficiency ~ 50% is readily obtained.…

统计力学 · 物理学 2009-07-13 Raishma Krishnan , Mangal C. Mahato , A. M. Jayannavar

The relative equilibria of a symmetric Hamiltonian dynamical system are the critical points of the so-called augmented Hamiltonian. The underlying geometric structure of the system is used to decompose the critical point equations and…

微分几何 · 数学 2007-05-23 Pascal Chossat , Debra Lewis , Juan-Pablo Ortega , Tudor S. Ratiu

We study the dynamics of condensation of the inclusion process on a one-dimensional periodic lattice in the thermodynamic limit, generalising recent results on finite lattices for symmetric dynamics. Our main focus is on totally asymmetric…

统计力学 · 物理学 2015-06-30 Jiarui Cao , Paul Chleboun , Stefan Grosskinsky