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Finding the conditions that foster synchronization in networked oscillatory systems is critical to understanding a wide range of biological and mechanical systems. However, the conditions proved in the literature for synchronization in…

系统与控制 · 计算机科学 2018-05-09 Zahra Aminzare , Biswadip Dey , Elizabeth N. Davison , Naomi Ehrich Leonard

We examine the dynamical evolution of the state of a neurone, with particular care to the non-equilibrium nature of the forces influencing its movement in state space. We combine non-equilibrium statistical mechanics and dynamical systems…

神经元与认知 · 定量生物学 2021-02-19 Dalton A R Sakthivadivel

Active dynamic processes of cells are largely driven by the cytoskeleton, a complex and adaptable semiflexible polymer network, motorized by mechanoenzymes. Small dimensions, confined geome- tries and hierarchical structures make it…

生物物理 · 物理学 2017-08-23 Jannes Gladrow , Chase P. Broedersz , Christoph F. Schmidt

Many networks must maintain synchrony despite the fact that they operate in noisy environments. Important examples are stochastic inertial oscillators, which are known to exhibit fluctuations with broad tails in many applications, including…

适应与自组织系统 · 物理学 2019-12-03 Jason Hindes , Philippe Jacquod , Ira B. Schwartz

We revisit here the problem of the collective non-equilibrium dynamics of a classical statistical system at a critical point and in the presence of surfaces. The effects of breaking separately space- and time-translational invariance are…

统计力学 · 物理学 2014-11-24 Matteo Marcuzzi , Andrea Gambassi

Networks with only central force interactions are floppy when their average connectivity is below an isostatic threshold. Although such networks are mechanically unstable, they can become rigid when strained. It was recently shown that the…

生物物理 · 物理学 2016-10-19 A. Sharma , A. J. Licup , R. Rens , M. Vahabi , K. A. Jansen , G. H. Koenderink , F. C. MacKintosh

We consider the influence of local noise on a generalized network of populations having positive and negative feedbacks. The population dynamics at the nodes is nonlinear, typically chaotic, and allows cessation of activity if the…

混沌动力学 · 物理学 2014-12-03 Anshul Choudhary , Vivek Kohar , Sudeshna sinha

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

最优化与控制 · 数学 2022-04-20 Manish K. Singh , Vassilis Kekatos

We search for steady states in a class of fluctuating and driven physical systems that exhibit sustained currents. We find that the physical concept of a steady state, well known for systems at equilibrium, must be generalised to describe…

软凝聚态物质 · 物理学 2020-04-15 Tanniemola B. Liverpool

There are multiple ways in which a stochastic system can be out of statistical equilibrium. It might be subject to time-varying forcing; or be in a transient phase on its way towards equilibrium; it might even be in equilibrium without us…

动力系统 · 数学 2019-07-08 Péter Koltai , Hao Wu , Frank Noé , Christof Schütte

Multistability is an inseparable feature of many physical, chemical and biological systems which are driven far from equilibrium. In these nonequilibrium systems, stochastic dynamics often induces switching between distinct states on…

适应与自组织系统 · 物理学 2017-11-01 Guram Gogia , Justin Burton

To understand how certain dynamical behaviors can or cannot persist as the underlying network grows is a problem of increasing importance in complex dynamical systems as well as sustainability science and engineering. We address the…

适应与自组织系统 · 物理学 2016-01-07 Yafeng Wang , Huawei Fan , Ying-Cheng Lai , Xingang Wang

We study the out-of-equilibrium dynamics of dissipative gases of atoms excited to two or more high-lying Rydberg states. This situation bears interesting similarities to classical binary (in general $p$-ary) mixtures of particles. The…

量子气体 · 物理学 2016-10-04 Ricardo Gutierrez , Juan P. Garrahan , Igor Lesanovsky

This paper, we explore the dynamics of threshold networks on undirected signed graphs. Much attention has been dedicated to understanding the convergence and long-term behavior of this model. Yet, an open question persists: How does the…

离散数学 · 计算机科学 2024-12-23 Eric Goles , Pedro Montealegre , Martín Ríos-Wilson , Sylvain Sené

Martensites subjected to quasistatic deformation are known to exhibit power law distributed acoustic emission in a broad range of scales, however, the origin of the observed scaling behavior and the mechanism of self-organization towards…

材料科学 · 物理学 2025-07-08 Oğuz Umut Salman , Alphonse Finel , Lev Truskinovsky

The study of stochastic systems has received considerable interest over the years. Their dynamics can describe many equilibrium and nonequilibrium fluctuating systems. At the same time, nonequilibrium constraints interact with the time…

统计力学 · 物理学 2011-03-14 David Andrieux

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

统计力学 · 物理学 2009-11-10 D. Huber , L. S. Tsimring

Most of the turbulent flows appearing in nature (e.g. geophysical and astrophysical flows) are subjected to strong rotation and stratification. These effects break the symmetries of classical, homogenous isotropic turbulence. In doing so,…

流体动力学 · 物理学 2015-09-11 Corentin Herbert , Annick Pouquet , Raffaele Marino

A family of nonequilibrium kinetic Ising models, introduced earlier, evolving under the competing effect of spin flips at {\it zero temperature} and nearest neighbour random spin exchanges is further investigated here. By increasing the…

凝聚态物理 · 物理学 2009-10-28 N. Menyhard , G. Odor

A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

最优化与控制 · 数学 2014-03-24 Jieqiang Wei , Arjan van der Schaft
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