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The wavelet transform and related techniques are used to analyze singular and fractal signals. The normalized wavelet scalogram is introduced to detect singularities including jumps, cusps and other sharply changing points. The wavelet…

Signal Processing · Electrical Eng. & Systems 2021-11-04 Hua-Liang Wei , S. A. Billings

This work presents a system to benchmark humanoid posture control and balance performances under perturbed conditions. The specific benchmarking scenario consists, for example, of balancing upright stance while performing voluntary…

Robotics · Computer Science 2021-04-27 Vittorio Lippi , Thomas Mergner , Thomas Seel , Christoph Maurer

Quasi-stationary far-from-equilibrium critical states of a two-component Bose gas are studied in two spatial dimensions. After the system has undergone an initial dynamical instability it approaches a non-thermal fixed point. At this…

Quantum Gases · Physics 2013-12-16 Markus Karl , Boris Nowak , Thomas Gasenzer

The multiscale dynamics of glow discharge plasma is analysed through wavelet transform, whose scale dependent variable window size aptly captures both transients and non-stationary periodic behavior. The optimal time-frequency localization…

Quantum Physics · Physics 2015-06-18 Bapun K. Giri , Chiranjit Mitra , Prasanta K. Panigrahi , A. N. Sekar Iyengar

The rate of metastable decay in nonequilibrium systems is expected to display scaling behavior: i.e., the logarithm of the decay rate should scale as a power of the distance to a bifurcation point where the metastable state disappears.…

Statistical Mechanics · Physics 2009-09-29 Oleg Kogan

Response delay is an inherent and essential part of human actions. In the context of human balance control, the response delay is traditionally modeled using the formalism of delay-differential equations, which adopts the approximation of…

Neurons and Cognition · Quantitative Biology 2018-08-22 Takashi Suzuki , Ihor Lubashevsky , Arkady Zgonnikov

We study the impact of the wetting properties on the immiscible displacement of a viscous fluid in disordered porous media. We present a novel pore-scale model that captures wettability and dynamic effects, including the spatiotemporal…

Fluid Dynamics · Physics 2016-10-14 Ran Holtzman , Enrico Segre

The auditory and vestibular systems exhibit remarkable sensitivity of detection, responding to deflections on the order of Angstroms, even in the presence of biological noise. Further, these complex systems exhibit high temporal acuity and…

Chaotic Dynamics · Physics 2023-11-07 Justin Faber , Dolores Bozovic

Estimating a fractal dimension from a finite stochastic trajectory is a finite-size scaling problem: the apparent box-counting exponent is shaped by an occupancy crossover between the resolved range of scales and the finite number of…

Statistical Mechanics · Physics 2026-05-28 Bon A. Koo , Edward Ju

Recent studies on the phenomenology of ageing in certain many-particle systems which are at a critical point of their non-equilibrium steady-states, are reviewed. Examples include the contact process, the parity-conserving…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel

The influence of the initial fluctuations on the onset of scaling in the quench to zero temperature of a two dimensional system with conserved order parameter, is analyzed in detail with and without topological defects. We find that the…

Condensed Matter · Physics 2009-10-28 Claudio Castellano , Marco Zannetti

It has been recently observed that synthetic materials subjected to an external elastic stress give rise to scaling phenomena in the acoustic emission signal. Motivated by this experimental finding we develop a mesoscopic model in order to…

Materials Science · Physics 2008-02-03 Stefano Zapperi , Alessandro Vespignani , H. Eugene Stanley

Active glasses refer to a class of driven non-equilibrium systems that share remarkably similar dynamical behavior as conventional glass-formers in equilibrium. Glass-like dynamical characteristics have been observed in various biological…

Soft Condensed Matter · Physics 2024-12-24 Subhodeep Dey , Smarajit Karmakar

It is well established that not only vision but also other sensory modalities affect drivers' control of their vehicles, and that drivers adapt over time to persistent changes in sensory cues (for example in driving simulators), but the…

Neurons and Cognition · Quantitative Biology 2018-11-08 Gustav Markkula , Richard Romano , Rachel Waldram , Oscar Giles , Callum Mole , Richard Wilkie

The scattering of coherent X-rays from dynamically evolving systems is currently becoming experimentally feasible. The scattered beam produces a pattern of bright and dark speckles, which fluctuate almost independently in time and can be…

Condensed Matter · Physics 2015-06-25 Gregory Brown , Per Arne Rikvold , Martin Grant

Experimental evidence is presented connecting small fluctuations in the posture of a quiet standing subject and the probability that the subject will have an accidental fall within a time period of one year. The data can be understood on…

The paper is devoted to well-posedness analysis and the numerical solution of a family of general elliptic mixed variational-hemivariational inequalities. Various mixed variational equations, mixed variational inequalities and mixed…

Numerical Analysis · Mathematics 2026-02-03 Weimin Han , Jianguo Huang , Yuan Yao

This article presents a theoretical study of the scaling properties of the kinetic energy spectrum in compressible turbulence. From the fundamental symmetries and linear transformations of the microscopic action, we derive exact relations…

Fluid Dynamics · Physics 2025-09-16 Olivier Coquand

Finite-size scaling is a key tool in statistical physics, used to infer critical behavior in finite systems. Here we use the analogous concept of finite-time scaling to describe the bifurcation diagram at finite times in discrete dynamical…

Adaptation and Self-Organizing Systems · Physics 2018-04-12 Alvaro Corral , Lluis Alseda , Josep Sardanyes

This paper presents and experimentally demonstrates a novel framework for variable assistance on lower body exoskeletons, based upon safety-critical control methods. Existing work has shown that providing some freedom of movement around a…

Robotics · Computer Science 2019-12-04 Thomas Gurriet , Maegan Tucker , Alexis Duburcq , Guilhem Boeris , Aaron D. Ames