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We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the…

Pattern Formation and Solitons · Physics 2012-10-08 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

We consider a classical space-clamped Hodgkin-Huxley model neuron stimulated by synaptic excitation and inhibition with conductances represented by Ornstein-Uhlenbeck processes. Using numerical solutions of the stochastic model system…

Neurons and Cognition · Quantitative Biology 2016-04-19 Henry C. Tuckwell , Susanne Ditlevsen

Noise-enhanced chaos in a doped, weakly coupled GaAs/Al_{0.45}Ga_{0.55}As superlattice has been observed at room temperature in experiments as well as in the results of the simulation of nonlinear transport based on a discrete tunneling…

We study the quantum and classical scattering of Hamiltonian systems whose chaotic saddle is described by binary or ternary horseshoes. We are interested in parameters of the system for which a stable island, associated with the inner…

Chaotic Dynamics · Physics 2009-11-10 C. Jung , C. Mejia-Monasterio , O. Merlo , T. H. Seligman

The study of biochemical pathways usually focuses on a small section of a protein interactions network. Two distinct sources contribute to the noise in such a system: intrinsic noise, inherent in the studied reactions, and extrinsic noise…

Cell Behavior · Quantitative Biology 2010-01-29 Anna Ochab-Marcinek

We demonstrate that nonlocally coupled limit-cycle oscillators subject to spatiotemporally white Gaussian noise can exhibit a noise-induced transition to turbulent states. After illustrating noise-induced turbulent states with numerical…

Chaotic Dynamics · Physics 2007-05-23 Yoji Kawamura , Hiroya Nakao , Yoshiki Kuramoto

Interaction between metal surface waves and periodic geometry of subwavelength structures is at the core of the recent but crucial renewal of interest in plasmonics. One of the most intriguing points is the observation of abnormal strong…

Other Condensed Matter · Physics 2007-05-23 Jean-Baptiste Masson , Guilhem Gallot

Going beyond isolated system dynamics, we examine how local and spatially correlated reservoirs influence the work extraction in quantum batteries. By employing a one-dimensional spin-1/2 model coupled to baths via dephasing and…

Quantum Physics · Physics 2025-09-30 Sejal Ahuja , Tanoy Kanti Konar , Aditi Sen De

Crackling noise is observed in many disordered non-equilibrium systems in response to slowly changing external conditions. Examples range from Barkhausen noise in magnets to acoustic emission in martensites to earthquakes. Using the…

Statistical Mechanics · Physics 2009-11-07 A. Travesset , R. A. White , K. A. Dahmen

A recently introduced lattice model, describing an extended system which exhibits a reentrant (symmetry-breaking, second-order) noise-induced nonequilibrium phase transition, is studied under the assumption that the multiplicative noise…

Condensed Matter · Physics 2009-10-31 S. E. Mangioni , R. R. Deza , R. Toral , H. Wio

Noise reduction is a relevant topic when considering the application of chaotic signals in practical problems, such as communication systems or modeling biomedical signals. In this paper an echo state network (ESN) is employed to denoise a…

Signal Processing · Electrical Eng. & Systems 2023-09-20 André L. O. Duarte , Marcio Eisencraft

A Hamiltonian system with a modified Henon-Heiles potential is investigated. This describes the motion of free test particles in vacuum gravitational pp-wave spacetimes with both quadratic ("homogeneous") and cubic ("non-homogeneous") terms…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Vesely , J. Podolsky

We present a study of the escape time from a metastable state of an overdamped Brownian particle, in the presence of colored noise generated by Ornstein-Uhlenbeck process. We analyze the role of the correlation time on the enhancement of…

Statistical Mechanics · Physics 2015-05-14 Alessandro Fiasconaro , Bernardo Spagnolo

Exceptional points, a remarkable phenomenon in physical systems, have been exploited for sensing applications. It has been demonstrated recently that it can also utilize as sensory threshold in which the interplay between exceptional-point…

Applied Physics · Physics 2024-10-18 Shirin Panahi , Li-Li Ye , Ying-Cheng Lai

Although stochastic optimization is central to modern machine learning, the precise mechanisms underlying its success, and in particular, the precise role of the stochasticity, still remain unclear. Modelling stochastic optimization…

Machine Learning · Statistics 2020-06-12 Liam Hodgkinson , Michael W. Mahoney

We present a study of the noise driven escape of an overdamped Brownian particle moving in a cubic potential profile with a metastable state. We analyze the role of the initial conditions of the particle on the enhancement of the average…

Statistical Mechanics · Physics 2009-11-10 A. Fiasconaro , D. Valenti , B. Spagnolo

In this paper, we explore the spatio-temporal dynamics of spontaneous and stimulated forward Brillouin scattering. This general treatment incorporates the optomechanical coupling produced by boundary-induced radiation pressures (boundary…

Optics · Physics 2016-06-15 Prashanta Kharel , Ryan Behunin , William Renninger , Peter Rakich

L\'evy noise influences diverse non-equilibrium systems across scales, including quantum devices, active biological matter, and financial markets. While such noise is pervasive, its overall impact on activated transitions between metastable…

Statistical Mechanics · Physics 2025-11-25 Shenglan Yuan

A detailed analysis of the classical nonlinear dynamics of a single driven square potential barrier with harmonically oscillating position is performed. The system exhibits dynamical trapping which is associated with the existence of a…

Chaotic Dynamics · Physics 2009-01-05 Florian R. N. Koch , Florian Lenz , Christoph Petri , Fotis K. Diakonos , Peter Schmelcher

Gravitational amplification of Poisson noise in stellar systems increases the dipole noise power by roughly a factor of six and the quadrupole noise by 50% for a King model profile. The dipole noise is amplified by a factor of fifteen for…

Astrophysics · Physics 2009-10-30 Martin D. Weinberg