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Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy system, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values.…

Statistical Mechanics · Physics 2019-12-25 Valerio Lucarini

This paper presents a research devoted to the study of instability phenomena in non-linear model with a constant brake friction coefficient. This paper outlines the stability analysis and a procedure to reduce and simplify the non-linear…

Chaotic Dynamics · Physics 2012-09-28 Jean-Jacques Sinou , Fabrice Thouverez , Louis Jezequel

We reconstruct the velocity field of incompressible flows given a finite set of measurements. For the spatial approximation, we introduce the Sparse Fourier divergence-free (SFdf) approximation based on a discrete $L^2$ projection. Within…

Fluid Dynamics · Physics 2021-10-13 Luis Espath , Dmitry Kabanov , Jonas Kiessling , Raúl Tempone

The RTS smoother is widely used for state estimation and it is utilized here to increase the data quality with respect to physical coherence and to increase resolution. The purpose of this paper is to enhance the performance of the RTS…

Applications · Statistics 2022-06-22 Lukas Höhndorf , Thomas Nagler , Phillip Koppitz , Claudia Czado , Florian Holzapfel

Real-time fall detection is crucial for enabling timely interventions and mitigating the severe health consequences of falls, particularly in older adults. However, existing methods often rely on simulated data or assumptions such as prior…

Contact mechanics-based models for the friction of nominally flat rough surfaces have not been able to adequately capture certain key experimentally observed phenomenona, such as the transition from a static friction peak to a lower level…

Soft Condensed Matter · Physics 2022-07-27 Yang Xu , Julien Scheibert , Nikolaj Gadegaard , Daniel M. Mulvihill

The article is devoted to the problem of synthesis of observers of state variables for linear stationary objects operating under conditions of noise or disturbances in the measurement channel. The paper considers a fully observable linear…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Alexey Bobtsov , Vladimir Virobyev , Nikolay Nikolaev , Anton Pyrkin , Romeo Ortega

Slip at a frictional interface occurs via intermittent events. Understanding how these events are nucleated, can propagate, or stop spontaneously remains a challenge, central to earthquake science and tribology. In the absence of disorder,…

Disordered Systems and Neural Networks · Physics 2022-12-21 Tom W. J. de Geus , Matthieu Wyart

In the target tracking and its engineering applications, recursive state estimation of the target is of fundamental importance. This paper presents a recursive performance bound for dynamic estimation and filtering problem, in the framework…

Applications · Statistics 2015-06-04 Huisi Tong , Hao Zhang , Huadong Meng , Xiqin Wang

Properties of ocular fixations and saccades are highly stochastic during many experimental tasks, and their statistics are often used as proxies for various aspects of cognition. Although distinguishing saccades from fixations is not…

Neural and Evolutionary Computing · Computer Science 2026-05-08 Charles Orioma , Josef Krivan , Rujeena Mathema , Pedro Lencastre , Pedro G. Lind , Alexander Szorkovszky , Shailendra Bhandari

Friction is a complicated phenomenon involving nonlinear dynamics at different length and time scales[1, 2]. The microscopic origin of friction is poorly understood, due in part to a lack of methods for measuring the force on a…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Per-Anders Thorén , Astrid S. de Wijn , Riccardo Borgani , Daniel Forchheimer , David B. Haviland

We investigate the nature of friction in granular layers by means of numerical simulation focusing on the critical slip distance, over which the system relaxes to a new stationary state. Analyzing a transient process in which the sliding…

Geophysics · Physics 2009-10-19 Takahiro Hatano

Recovering continuous-time dynamics from discrete observations is difficult because local supervision (e.g., pointwise regression targets, derivative approximations, or equation residuals) loses fidelity as the observation interval grows.…

Machine Learning · Computer Science 2026-05-12 Yuxiang Luo , Andrew Perrault

This is a technical report that extends and clarifies the results presented in [1]. The model identification problem for asymptotically stable linear time invariant systems is considered. The system output is affected by an additive noise…

Optimization and Control · Mathematics 2018-09-05 Marco Lauricella , Lorenzo Fagiano

Noisy-label methods often estimate sample reliability from forward-space signals such as loss, confidence, or entropy. These signals indicate whether a sample is difficult to predict, but they do not directly test whether its observed label…

Machine Learning · Computer Science 2026-05-19 Ningkang Peng , Jingyang Mao , Xiaoqian Peng , Weiguang Qu , Yanhui Gu

We perform extended numerical simulation of the dynamics of dry friction, based on a model derived from the phenomenological description proposed by T. Baumberger et al.. In the case of small deviation from the steady sliding motion, the…

Condensed Matter · Physics 2016-08-31 Y. F. Lim , Kan Chen

This paper considers the problem of designing interval observers for hidden mode switched nonlinear systems with bounded noise signals that are compromised by false data injection and switching attacks. The proposed observer consists of…

Systems and Control · Electrical Eng. & Systems 2021-11-04 Mohammad Khajenejad , Zeyuan Jin , Sze Zheng Yong

We investigate the propagation of the slip front in the elastic body on the rigid substrate. We first obtain the slip profile and the slip front velocity of the steady state by employing the local friction law with the quadratic form of the…

Soft Condensed Matter · Physics 2018-01-18 Takehito Suzuki , Hiroshi Matsukawa

This paper focuses on data-driven fault detection, identification, and recovery (FDIR) for nonlinear control-affine systems under actuator faults. We create a unified framework in the space of probability densities, rather than on…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Joshua D. Ibrahim , Mahdi Taheri , Soon-Jo Chung , Fred Y. Hadaegh

This paper develops a fault detection and identification (FDI) method for nonlinear control-affine systems under simultaneous actuator and sensor faults. We adopt a geometric approach to study the isolability of faults in the sense of the…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Mahdi Taheri , Haeyoon Han , Soon-Jo Chung , Fred Y. Hadaegh
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