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We show how frequency fluctuations of a vibrational mode can be separated from other sources of phase noise. The method is based on the analysis of the time dependence of the complex amplitude of forced vibrations. The moments of the…

介观与纳米尺度物理 · 物理学 2015-06-03 Z. A. Maizelis , M. L. Roukes , M. I. Dykman

We analyze the influence of music in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report an increase of coherence between the global dynamics in our network and the…

适应与自组织系统 · 物理学 2022-06-10 Jakub Sawicki , Lenz Hartmann , Rolf Bader , Eckehard Schöll

The refined composite multiscale-entropy algorithm was applied to the time-dependent behavior of the Weierstrass functions, colored noise, and Logistic map to provide fresh insight into the dynamics of these fluctuating phenomena. For the…

数据分析、统计与概率 · 物理学 2018-10-17 Jamieson Brechtl , Xie Xie , Karen A. Dahmen , Peter K. Liaw

If our aesthetic preferences are affected by fractal geometry of nature, scaling regularities would be expected to appear in all art forms, including music. While a variety of statistical tools have been proposed to analyze time series in…

斑图形成与孤子 · 物理学 2023-04-05 John McDonough , Andrzej Herczyński

We present a technique to search for the presence of crucial events in music, based on the analysis of the music volume. Earlier work on this issue was based on the assumption that crucial events correspond to the change of music notes,…

物理与社会 · 物理学 2018-03-14 April Pease , Korosh Mahmoodi , Bruce J. West

Music has always been central to human culture, reflecting and shaping traditions, emotions, and societal changes. Technological advancements have transformed how music is created and consumed, influencing tastes and the music itself. In…

Categorization is crucial for content description in archiving of music signals. On many occasions, human brain fails to classify the instruments properly just by listening to their sounds which is evident from the human response data…

声音 · 计算机科学 2016-01-29 Archi Banerjee , Shankha Sanyal , Tarit Guhathakurata , Ranjan Sengupta , Dipak Ghosh

One of the fundamental questions of cultural evolutionary research is how individual-level processes scale up to generate population-level patterns. Previous studies in music have revealed that frequency-based bias (e.g. conformity and…

应用统计 · 统计学 2019-07-01 Mason Youngblood

Notes in a musical piece are building blocks employed in non-random ways to create melodies. It is the "interaction" among a limited amount of notes that allows constructing the variety of musical compositions that have been written in…

声音 · 计算机科学 2016-10-06 Stefano Ferretti

Understanding the relationship between complexity and stability in large dynamical systems -- such as ecosystems -- remains a key open question in complexity theory which has inspired a rich body of work developed over more than fifty…

种群与进化 · 定量生物学 2021-07-14 Yvonne Krumbeck , Qian Yang , George W. A. Constable , Tim Rogers

Music is a structured and perceptually rich sequence of sounds in time, whose perception is shaped by the interplay of expectation and uncertainty about what comes next. Yet the uncertainty we infer from music depends on how the musical…

Collective dynamics result from interactions among noisy dynamical components. Examples include heartbeats, circadian rhythms, and various pattern formations. Because of noise in each component, collective dynamics inevitably involve…

生物物理 · 物理学 2010-09-09 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

This paper focuses on the modeling of musical melodies as networks. Notes of a melody can be treated as nodes of a network. Connections are created whenever notes are played in sequence. We analyze some main tracks coming from different…

声音 · 计算机科学 2017-09-29 Stefano Ferretti

This paper presents methods to analyze functional brain networks and signals from graph spectral perspectives. The notion of frequency and filters traditionally defined for signals supported on regular domains such as discrete time and…

神经元与认知 · 定量生物学 2016-11-03 Weiyu Huang , Leah Goldsberry , Nicholas F. Wymbs , Scott T. Grafton , Danielle S. Bassett , Alejandro Ribeiro

We present computational tools that we developed for the analysis of a large corpus of flamenco music recordings, along with the related exploratory findings. The proposed computational backend is based on a set of Convolutional Neural…

声音 · 计算机科学 2018-07-03 Nadine Kroher , Aggelos Pikrakis

A recently developed wavelet based approach is employed to characterize the scaling behavior of spectral fluctuations of random matrix ensembles, as well as complex atomic systems. Our study clearly reveals anti-persistent behavior and…

混沌动力学 · 物理学 2009-11-11 P. Manimaran , Prasanta K. Panigrahi , P. Anantha Lakshmi

Fluctuations in the measured mRNA levels of unperturbed cells under fixed conditions have often been viewed as an impediment to the extraction of information from expression profiles. Here, we argue that such expression fluctuations should…

分子网络 · 定量生物学 2007-05-23 William W. Chen , Jeremy L. England , Eugene I. Shakhnovich

We present a statistical analysis of music scores from different composers using detrended fluctuation analysis. We find different fluctuation profiles that correspond to distinct auto-correlation structures of the musical pieces. Further,…

An important problem in physics concerns the analysis of audio time series generated by transduced acoustic phenomena. Here, we develop a new method to quantify the scaling properties of the local variance of nonstationary time series. We…

无序系统与神经网络 · 物理学 2009-11-10 Heather D. Jennings , Plamen Ch. Ivanov , A. M. Martins , P. C. da Silva , G. M. Viswanathan

We propose an analytical technique to study large fluctuations and switching from internal noise in complex networks. Using order-disorder kinetics as a generic example, we construct and analyze the most probable, or optimal path of…

物理与社会 · 物理学 2017-09-07 Jason Hindes , Ira B. Schwartz
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