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We present a theory of vibrational modulation of two-dimensional coherent Fourier transformed electronic spectra. Based on an expansion of the system's energy gap correlation function in terms of Huang-Rhys factors, we explain the…

We describe a method to extract from experimental data the important dynamical modes in spatio-temporal patterns in a system driven out of thermodynamic equilibrium. Using a novel optical technique for controlling fluid flow, we create an…

Fluid Dynamics · Physics 2011-05-03 Adam C. Perkins , Roman O. Grigoriev , Michael F. Schatz

Small vibrations observed in video can unveil information beyond what is visual, such as sound and material properties. It is possible to passively record these vibrations when they are visually perceptible, or actively amplify their visual…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Mingxuan Cai , Dekel Galor , Amit Pal Singh Kohli , Jacob L. Yates , Laura Waller

This paper begins with a dynamical model that was obtained by applying a machine learning technique (FJet) to time-series data; this dynamical model is then analyzed with Lie symmetry techniques to obtain constants of motion. This analysis…

Machine Learning · Computer Science 2025-02-04 Michael F. Zimmer

The latitudinal distribution of whistler-mode wave intensity plays a crucial role in determining the efficiency and energy of electrons scattered by these waves in the outer radiation belt. Traditionally, this wave property has mostly been…

Dynamical system properties give rise to effects in Statistical Mechanics. Topological index changes can be the basis for phase transitions. The Euler characteristic is a versatile topological invariant that can be evaluated for model…

Statistical Mechanics · Physics 2007-05-23 Ajay Patwardhan

Due to the processes that occur during the functioning of modern electromechanical systems, these systems can be considered complex nonlinear dynamic systems from the point of view of the theory of dynamic systems. The movement of such…

Optimization and Control · Mathematics 2024-12-10 Roman Voliansky

A system obeying the harmonic oscillator equation of motion can be used as a force or proper acceleration sensor. In this short review we derive analytical expressions for the sensitivity of such sensors in a range of different situations,…

Classical Physics · Physics 2019-05-10 Gerard P. Conangla

Increasingly stringent performance requirements for motion control necessitate the use of increasingly detailed models of the system behavior. Motion systems inherently move, therefore, spatio-temporal models of the flexible dynamics are…

Systems and Control · Computer Science 2020-03-02 Robbert Voorhoeve , Robin de Rozario , Wouter Aangenent , Tom Oomen

High-quality nanomechanical oscillators can sensitively probe force, mass, or displacement in experiments bridging the gap between the classical and quantum domain. Dynamics of these stochastic systems is inherently determined by the…

The system identification capabilities of a novel information-theoretic method are examined here. Specifically, this work uses information-theoretic metrics and vibration-based measurements to enhance damping estimation accuracy in…

Signal Processing · Electrical Eng. & Systems 2026-04-01 Marios Impraimakis , Feiyu Zhou , Andrew Plummer

The vibration of the mechanical nanowire coupled to photons via photon pressure and coupled to charges via the capacity has been widely explored in experiments in the past decades. This system is electrically neutral, thus its coupling to…

Mesoscale and Nanoscale Physics · Physics 2025-11-12 Zeyu Rao , Yue-Xin Huang , Guang-Can Guo , Ming Gong

Sample-to-sample fluctuations of the time-dependent conductance of a system with static disorder have been studied by means of diagrammatic theory and microwave pulsed transmission measurements. The fluctuations of time-dependent…

Mesoscale and Nanoscale Physics · Physics 2009-07-23 N. Cherroret , A. Pena , A. A. Chabanov , S. E. Skipetrov

The time-development of photoexcitations in molecular aggregates exhibits specific dynamics of electronic states and vibrational wavefunction. We discuss the dynamical formation of entanglement between electronic and vibrational degrees of…

Quantum Physics · Physics 2007-05-23 Dmitri S. Kilin , Jeffrey A. Cina , Oleg V. Prezhdo

One-dimensional ideal diatomic gas is simulated through possible types of motion of a molecule. Energy of each type of its motion is calculated from theory and numerical method. Calculation of kinetic energy of an atom in…

Chemical Physics · Physics 2014-02-11 Siti Nurul Khotimah , Sparisoma Viridi , Widayani , Abdul Waris

The spring-mass system studied in undergraduate physics laboratories may show complex dynamics due to the simultaneous action of gravitational, elastic, and torsional forces, in addition to air friction. In this paper, we describe a…

Physics Education · Physics 2013-06-04 Ilario Boscolo , Fabrizio Castelli , Marco Stellato

In this paper, we propose a novel non-contact vibration measurement system that is competent in estimating linear and/or rotational motions of machine parts. The technique combines microwave radar, standard camera, and optical strobe to…

Signal Processing · Electrical Eng. & Systems 2020-06-02 Dibyendu Roy , Arijit Sinharay , Brojeshwar Bhowmick , Raj Rakshit , Tapas Chakravarty , Arpan Pal

In this paper, we discuss an example of current importance with a future perspective in engineering, in which excitation sources always have limited power, limited inertia, and their frequencies vary according to the instantaneous state of…

The structural evolution of laser-excited systems of gold has previously been measured through ultrafast MeV electron diffraction. However, there has been a long-standing inability of atomistic simulations to provide a consistent picture of…

Materials Science · Physics 2024-06-19 J. M. Molina , T. G. White

In this paper we derived a model based on general assumptions and allowed us to derive some important thermodynamic functions that are time-dependent, also we could see the behavior of these functions by surfaces. The model is based on…

Chemical Physics · Physics 2011-12-12 Naidel A. M. dos S. Caturello