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In a recent paper a slightly modified version of the Bateman system, originally proposed to describe a damped harmonic oscillator, was proposed. This system is really different from the Bateman's one, in the sense that this latter cannot be…

数学物理 · 物理学 2025-06-30 Fabio Bagarello

A novel experimental paradigm and a novel modelling approach are presented to investigate oscillatory human motor performance by means of a key concept from condensed matter physics, namely, thermodynamic state variables. To this end, in…

神经元与认知 · 定量生物学 2017-02-13 J. M. Gordon , S. Kim , T. D. Frank

This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission. We show that these models can generically…

Voting is an important social activity for expressing public opinions. By conceptually considering a group of voting agents to be intelligent matter, the impact of real-time information on voting results is quantitatively studied by an…

统计力学 · 物理学 2026-03-16 Guanyu Xu , Jiahang Chen , Xin Zhou , Yanting Wang

We study feedback control of coupled nonlinear stochastic oscillators in a force field. We first consider the problem of asymptotically driving the system to a desired {\em steady state} corresponding to reduced thermal noise. Among the…

数学物理 · 物理学 2015-07-02 Yongxin Chen , Tryphon Georgiou , Michele Pavon

In this work, we study the driven-dissipative dynamics of a coherently-driven spin ensemble with a squeezed, superradiant decay. This decay consists of a sum of both raising and lowering collective spin operators with a tunable weight. The…

The dissipative variant of the Ising model in a transverse field is one of the most important models in the analysis of open quantum many-body systems, due to its paradigmatic character for understanding driven-dissipative quantum phase…

量子物理 · 物理学 2023-11-15 David Roberts , Aashish A. Clerk

The dynamical evolution of a recently introduced one dimensional model in \cite{biswas-sen} (henceforth referred to as model I), has been made stochastic by introducing a parameter $\beta$ such that $\beta =0$ corresponds to the Ising model…

统计力学 · 物理学 2013-05-29 Parongama Sen

In this study we demonstrate a self-oscillating acoustic meta-atom functioning as an amplifying transistor, where a steady external flow serves as a control signal to switch between reflective (off-state) and transmissive (on-state)…

应用物理 · 物理学 2025-08-25 Alexander K. Stoychev , Xinxin Guo , Ulrich Kuhl , Nicolas Noiray

Non-reciprocal systems have been shown to sustain time-dependent patterns, most prominently travelling waves. The transition into these time-dependent states generally breaks time-translational invariance, representing a clear deviation…

统计力学 · 物理学 2026-05-13 Emir Sezik , Gunnar Pruessner

In this paper, we propose a novel sampling control framework based on the emulation technique where the sampling error is regarded as an auxiliary input to the emulated system. Utilizing the supremum norm of sampling error, the design of…

最优化与控制 · 数学 2022-05-02 Lijun Zhu , Zhiyong Chen

Error-mitigation methods for Ising machines are reexamined not merely as noise-suppression techniques but as a structural design problem of replica-coupled Ising models. Using simulated annealing as a hardware-noise-free testbed, we…

统计力学 · 物理学 2026-01-15 Tetsuro Abe , Kanta Hino , Shu Tanaka

One of the most important branches of nonlinear control theory is the so-called sliding-mode. Its aim is the design of a (nonlinear) feedback law that brings and maintains the state trajectory of a dynamic system on a given sliding surface.…

系统与控制 · 电气工程与系统科学 2021-09-14 Mauro Bisiacco , Gianluigi Pillonetto

Motivated by the anisotropic interactions between fish, we implement spatially anisotropic and therefore non-reciprocal interactions in the 2D Ising model. First, we show that the model with non-reciprocal interactions alters the system…

软凝聚态物质 · 物理学 2023-05-10 Daniel S. Seara , Akash Piya , A. Pasha Tabatabai

Discovering the governing equations of a physical system and designing an effective feedback controller remains one of the most challenging and intensive areas of ongoing research. This task demands a deep understanding of the system…

机器学习 · 计算机科学 2025-08-20 Lakshmi Priya P. K. , Andreas Schwung

Stochastic models of biochemical reaction networks are widely used to capture intrinsic noise in cellular systems. The typical formulation of these models are based on Markov processes for which there is extensive research on efficient…

分子网络 · 定量生物学 2025-12-03 Thomas P. Steele , David J. Warne

We explore the issues of identification for nonlinear Impulse Response Functions in nonlinear dynamic models and discuss the settings in which the problem can be mitigated. In particular, we introduce the nonlinear autoregressive…

计量经济学 · 经济学 2025-08-01 Christian Gourieroux , Quinlan Lee

Cyclic (rock-paper-scissors-type) population models serve to mimic complex species interactions. Focusing on a paradigmatic three-species model with mutations in one dimension, we observe an interplay between equilibrium and non-equilibrium…

统计力学 · 物理学 2010-07-07 Anton A. Winkler , Tobias Reichenbach , Erwin Frey

Many physical, chemical and biological processes rely on intrinsic oscillations to employ resonance responses to external stimuli of certain frequency. Such resonance phenomena in biological systems are typically explained by one of two…

It is by now established that, remarkably, the addition of noise to a nonlinear system may sometimes facilitate, rather than hamper the detection of weak signals. This phenomenon, usually referred to as stochastic resonance, was originally…

凝聚态物理 · 物理学 2009-10-31 Redouane Fakir