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In dynamical systems with distinct time scales the time evolution in phase space may be influenced strongly by the fixed points of the fast subsystem. Orbits then typically follow these points, performing in addition rapid transitions…

无序系统与神经网络 · 物理学 2019-05-16 Hendrik Wernecke , Bulcsú Sándor , Claudius Gros

Memristors as emergent nano-electronic devices have been successfully fabricated and used in non-conventional and neuromorphic computing systems in the last years. Several behavioral or physical based models have been developed to explain…

In this paper, we develop a methodology for finite time rotor angle stability analysis using the theory of normal hyperbolic surfaces. The proposed method would bring new insights to the existing techniques, which are based on asymptotic…

最优化与控制 · 数学 2018-01-03 Sambarta Dasgupta , Umesh Vaidya

A new class of critical points, termed as perpetual points, where acceleration becomes zero but the velocity remains non-zero, are observed in dynamical systems. The velocity at these points is either maximum or minimum or of inflection…

混沌动力学 · 物理学 2015-06-22 Awadhesh Prasad

A system of drift-diffusion equations for the electron, hole, and oxygene vacancy densities in a semiconductor, coupled to the Poisson equation for the electric potential, is analyzed in a bounded domain with mixed Dirichlet-Neumann…

偏微分方程分析 · 数学 2022-04-08 Clément Jourdana , Ansgar Jüngel , Nicola Zamponi

The resistance state of filamentary memristors can be tuned by relocating only a few atoms at interatomic distances in the active region of a conducting filament. Thereby the technology holds promise not only in its ultimate downscaling…

介观与纳米尺度物理 · 物理学 2023-06-08 Miklós Csontos , Yannik Horst , Nadia Jimenez Olalla , Ueli Koch , Ivan Shorubalko , András Halbritter , Juerg Leuthold

The linear (proportional to local vacancy concentration) term in specific resistance of the material does not directly contribute to the change of memristor's total resistance when the vacancies are redistributed inside while keeping their…

介观与纳米尺度物理 · 物理学 2025-09-18 Irina V. Boylo , Konstantin L. Metlov

Modal linear stability analysis has proven very successful in the analysis of coherent structures of turbulent flows. Formally, it describes the evolution of a disturbance in the limit of infinite time. In this work we apply modal linear…

流体动力学 · 物理学 2016-05-03 Lothar Rukes , Moritz Sieber , Oliver Paschereit , Kilian Oberleithner

Stochastic systems characterised by a random driving in a form of the general stable noise are considered. The particle experiences long rests due to the traps the density of which is position-dependent and obeys a power-law form attributed…

统计力学 · 物理学 2016-07-06 Tomasz Srokowski

An exact solution of the transient dynamics for a sequential associative memory model is discussed through both the path-integral method and the statistical neurodynamics. Although the path-integral method has the ability to give an exact…

无序系统与神经网络 · 物理学 2009-11-07 Masaki Kawamura , Masato Okada

In the last decade, a 2-terminal passive circuit element called a memristor has been developed for non-volatile resistive random access memory and has more recently shown promise for neuromorphic computing. Compared to flash memory,…

We follow up an earlier work (briefly reviewed below) to investigate the temporal stability of an exact travelling front solution, constructed in the form of an integral expression, for a one-dimensional discrete Nagumo-like model without…

斑图形成与孤子 · 物理学 2007-05-23 Priyadarshi Majudar , Avijit Lahiri

We report first principles investigation of time-dependent current of molecular devices under a step-like pulse.Our results show that although the switch-on time of the molecular device is comparable to the transit time, much longer time is…

介观与纳米尺度物理 · 物理学 2015-05-14 Bin Wang , Yanxia Xing , Lei Zhang , Jian Wang

This paper considers continuously differentiable functions of two vector variables that have (possibly a continuum of) min-max saddle points. We study the asymptotic convergence properties of the associated saddle-point dynamics…

最优化与控制 · 数学 2016-11-03 Ashish Cherukuri , Bahman Gharesifard , Jorge Cortes

The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It…

统计力学 · 物理学 2017-03-29 Ohad Shpielberg , Yaroslav Don , Eric Akkermans

We explore the dynamics of active elements performing persistent random motion with fluctuating active speed and in the presence of translational noise in a $d$-dimensional harmonic trap, modeling active speed generation through an…

统计力学 · 物理学 2025-02-18 Manish Patel , Amir Shee , Debasish Chaudhuri

Step strain experiments and dynamic light scattering measurements are perfomed to characterize the dynamic behavior of an o/w droplet microemulsion into which is incorporated a telechelic polymer. At sufficient droplet and polymer…

软凝聚态物质 · 物理学 2007-05-23 Eric Michel , Mohammed Filali , Raymond Aznar , Gregoire Porte , Jacqueline Appell

Highly accurate and predictive models of resistive switching devices are needed to enable future memory and logic design. Widely used is the memristive modeling approach considering resistive switches as dynamical systems. Here we introduce…

新兴技术 · 计算机科学 2015-03-02 E. Linn , A. Siemon , R. Waser , S. Menzel

We study the stable behaviour of discrete dynamical systems where the map is convex and monotone with respect to the standard positive cone. The notion of tangential stability for fixed points and periodic points is introduced, which is…

动力系统 · 数学 2011-06-20 Marianne Akian , Stephane Gaubert , Bas Lemmens

Neuromorphic devices, with their distinct advantages in energy efficiency and parallel processing, are pivotal in advancing artificial intelligence applications. Among these devices, memristive transistors have attracted significant…

应用物理 · 物理学 2024-11-08 Shengbo Wang , Jingfang Pei , Cong Li , Xuemeng Li , Li Tao , Arokia Nathan , Guohua Hu , Shuo Gao