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It is shown that the dynamics of a two-dimensional crystal with a finite concentration of dislocations, as well as vacancy and interstitial defects, is governed by the hydrodynamic equations of a viscoelastic medium. At the longest length…

Soft Condensed Matter · Physics 2009-11-07 M. Cristina Marchetti , Karl Saunders

A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of coordinates such that the initial problem with given…

Systems and Control · Electrical Eng. & Systems 2019-12-19 Igor Furtat

Dynamic material handling (DMH) involves the assignment of dynamically arriving material transporting tasks to suitable vehicles in real time for minimising makespan and tardiness. In real-world scenarios, historical task records are…

Neural and Evolutionary Computing · Computer Science 2025-06-23 Chengpeng Hu , Ziming Wang , Bo Yuan , Jialin Liu , Chengqi Zhang , Xin Yao

We consider a system of two bosonic modes each subject to the dynamics induced by a thermal Markovian environment and we identify instantaneous, local symplectic controls that minimise the loss of entanglement in the Gaussian regime. By…

Quantum Physics · Physics 2018-12-12 Francesco Albarelli , Uther Shackerley-Bennett , Alessio Serafini

The evolution of particulate and multiphase systems can transition from dynamic regimes, governed by classical transport equations with well-defined damping coefficients, to anomalously slow relaxation described by rate equations when the…

Soft Condensed Matter · Physics 2025-08-20 Carlos E. Colosqui

Conservation laws are an inherent feature in many systems modeling real world phenomena, in particular, those modeling biological and chemical systems. If the form of the underlying dynamical system is known, linear algebra and algebraic…

Numerical Analysis · Mathematics 2024-03-11 Tracey Oellerich , Maria Emelianenko

We study the discrete constrained saddle dynamics and their momentum variants for locating saddle points on manifolds. Under the assumption of exact unstable eigenvectors, we establish a local linear convergence of the discrete constrained…

Numerical Analysis · Mathematics 2026-02-02 Qiang Du , Baoming Shi

Understanding the dynamical processes that govern the performance of functional materials is essential for the design of next generation materials to tackle global energy and environmental challenges. Many of these processes involve the…

Materials Science · Physics 2019-07-11 Tian Xie , Arthur France-Lanord , Yanming Wang , Yang Shao-Horn , Jeffrey C. Grossman

Interfacial instabilities in multicomponent fluidic systems are widespread in nature and in industrial processes, yet controlling their dynamics remains a challenge. Here, we present a strategy to actively tune Marangoni-driven…

Soft Condensed Matter · Physics 2025-05-30 Christoph Haessig , Mehdi Habibi , Uddalok Sen

In this paper we study how to shape temporal pulses to switch a bistable system between its stable steady states. Our motivation for pulse-based control comes from applications in synthetic biology, where it is generally difficult to…

Optimization and Control · Mathematics 2015-10-05 Aivar Sootla , Diego Oyarzun , David Angeli , Guy-Bart Stan

Machine Learning, however popular and accessible, is computationally intensive and highly power-consuming, prompting interest in alternative physical implementations of learning tasks. We introduce a training scheme for physical systems…

Machine Learning · Computer Science 2026-02-16 Roie Ezraty , Menachem Stern , Shmuel M. Rubinstein

We demonstrate a machine learning based approach which can learn the time-dependent electronic excitation dynamics of small molecules subjected to ion irradiation. Ensembles of recurrent neural networks are trained on data generated by…

Chemical Physics · Physics 2024-09-24 Ethan P. Shapera , Cheng-Wei Lee

Self-assembly, the process by which interacting components form well-defined and often intricate structures, is typically thought of as a spontaneous process arising from equilibrium dynamics. When a system is driven by external…

Statistical Mechanics · Physics 2021-11-12 Shriram Chennakesavalu , Grant M. Rotskoff

In physical networks trained using supervised learning, physical parameters are adjusted to produce desired responses to inputs. An example is electrical contrastive local learning networks of nodes connected by edges that are resistors…

Disordered Systems and Neural Networks · Physics 2024-12-30 Marcel Guzman , Felipe Martins , Menachem Stern , Andrea J. Liu

This work proposes an approach for latent-dynamics learning that exactly enforces physical conservation laws. The method comprises two steps. First, the method computes a low-dimensional embedding of the high-dimensional dynamical-system…

Computational Physics · Physics 2020-06-15 Kookjin Lee , Kevin Carlberg

Real-world robots are becoming increasingly complex and commonly act in poorly understood environments where it is extremely challenging to model or learn their true dynamics. Therefore, it might be desirable to take a task-specific…

Systems and Control · Computer Science 2017-09-25 Somil Bansal , Roberto Calandra , Ted Xiao , Sergey Levine , Claire J. Tomlin

Aerial manipulators undergo rapid, configuration-dependent changes in inertial coupling forces and aerodynamic forces, making accurate dynamics modeling a core challenge for reliable control. Analytical models lose fidelity under these…

Learning in artificial neural networks usually relies on continuous, externally driven weight updates, in which parameters are modified at every step in response to incoming data, error signals or reward feedback. In this setting, routine…

Neurons and Cognition · Quantitative Biology 2026-05-13 Arturo Tozzi

We introduce a data-driven method for learning the equations of motion of mechanical systems directly from position measurements, without requiring access to velocity data. This is particularly relevant in system identification tasks where…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Martine Dyring Hansen , Elena Celledoni , Benjamin Kwanen Tapley

The macroscopic behaviour of active matter arises from nonequilibrium microscopic processes. In soft materials, active stresses typically drive macroscopic shape changes, which in turn alter the geometry constraining the microscopic…

Soft Condensed Matter · Physics 2024-11-26 Tim Dullweber , Roman Belousov , Anna Erzberger