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In this paper we consider the one-dimensional dynamical evolution of a particle traveling at constant speed and performing, at a given rate, random reversals of the velocity direction. The particle is subject to stochastic resetting,…

Statistical Mechanics · Physics 2021-10-25 Mattia Radice

A fundamental issue in nonlinear dynamics and statistical physics is how to distinguish chaotic from stochastic fluctuations in short experimental recordings. This dilemma underlies many complex systems models from stochastic gene…

Chaotic Dynamics · Physics 2010-04-12 Chi-Sang Poon , Cheng Li , Guo-Qiang Wu

Autonomous learning of robotic skills can allow general-purpose robots to learn wide behavioral repertoires without requiring extensive manual engineering. However, robotic skill learning methods typically make one of several trade-offs to…

Machine Learning · Computer Science 2016-10-07 William Montgomery , Anurag Ajay , Chelsea Finn , Pieter Abbeel , Sergey Levine

We present and characterize a method to accelerate the relaxation of a Brownian object between two distinct equilibrium states. Instead of relying on a deterministic time-dependent control parameter, we use stochastic resetting to guide and…

Statistical Mechanics · Physics 2024-06-07 Rémi Goerlich , Tommer D. Keidar , Yael Roichman

A novel paradigm for sorting is introduced, based upon resetting. Using simple examples, we demonstrate that sorting is achieved by resetting the velocity component(s) or orientation of the particles, rather than position. The objects to be…

Statistical Mechanics · Physics 2026-03-23 Bart Cleuren , Ralf Eichhorn

Caching is crucial for system performance, but the delayed hit phenomenon, where requests queue during lengthy fetches after a cache miss, significantly degrades user-perceived latency in modern high-throughput systems. While prior works…

Networking and Internet Architecture · Computer Science 2025-05-22 Bowen Jiang , Chaofan Ma

Empirical results show that PSO performance may be different if using either chaotic or random sequences to drive the algorithm's search dynamics. We analyze the phenomenon by evaluating the performance based on a benchmark of test…

Neural and Evolutionary Computing · Computer Science 2023-09-18 {Paul Moritz Nörenberg , Hendrik Richter

Stochastic interactions generically enhance self-diffusivity in living and biological systems, e.g. optimizing navigation strategies and controlling material properties of cellular tissues and bacterial aggregates. Despite this, the…

Soft Condensed Matter · Physics 2024-01-24 Henry Alston , Thibault Bertrand

The time needed to exchange information in the physical world induces a delay term when the respective system is modeled by differential equations. Time delays are hence ubiquitous, being furthermore likely to induce instabilities and with…

Chaotic Dynamics · Physics 2019-10-31 Hendrik Wernecke , Bulcsú Sándor , Claudius Gros

Fixed point iterations are known to generate chaos, for some values in their parameter range. It is an established fact that Turing Machines are fixed point iterations. However, as these Machines operate in integer space, the standard…

Computational Complexity · Computer Science 2015-07-06 Nabarun Mondal , Partha P. Ghosh

Chaos control techniques have been applied to a wide variety of experimental systems, including magneto-elastic ribbons, lasers, chemical reactions, arrhythmic cardiac tissue, and spontaneously bursting neuronal networks. An underlying…

chao-dyn · Physics 2008-02-03 David J. Christini , James J. Collins

Variant Stochastic cracking is a significantly more resilient approach to adaptive indexing. It showed [1]that Stochastic cracking uses each query as a hint on how to reorganize data, but not blindly so; it gains resilience and avoids…

Databases · Computer Science 2013-05-09 Meenesh Bhardwaj

In principle, the state space of a chaotic attractor can be partially or wholly reconstructed from interspike intervals recorded from experiment. Under certain conditions, the quality of a partial reconstruction, as measured by the spike…

chao-dyn · Physics 2008-02-03 R. Castro , T. Sauer

A dynamical process that takes a random time to complete, e.g., a chemical reaction, may either be accelerated or hindered due to resetting. Tuning system parameters such as temperature, viscosity or concentration, can invert the effect of…

Statistical Mechanics · Physics 2021-05-19 Somrita Ray , Shlomi Reuveni

We present a procedure for enhanced sampling of molecular dynamics simulations through informed stochastic resetting. Many phenomena, such as protein folding and crystal nucleation, occur over time scales that are inaccessible in standard…

We study the dynamics of an ensemble of globally coupled chaotic logistic maps under the action of a learning algorithm aimed at driving the system from incoherent collective evolution to a state of spontaneous full synchronization.…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Luis G. Moyano , Guillermo Abramson , Damian H. Zanette

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

The synchronization of coupled chaotic systems represents a fundamental example of self organization and collective behavior. This well-studied phenomenon is classically characterized in terms of macroscopic parameters, such as Lyapunov…

`Gating' is a widely observed phenomenon in biochemistry that describes the transition between the activated (or open) and deactivated (or closed) states of an ion-channel, which makes transport through that channel highly selective. In…

Statistical Mechanics · Physics 2023-10-09 Arup Biswas , Arnab Pal , Debasish Mondal , Somrita Ray

In this paper, a novel formulation of discrete chaotic iterations in the field of dynamical systems is given. Their topological properties are studied: it is mathematically proved that, under some conditions, these iterations have a chaotic…

Cryptography and Security · Computer Science 2017-02-09 Jacques M. Bahi , Christophe Guyeux