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The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

Statistical Mechanics · Physics 2009-11-10 D. Huber , L. S. Tsimring

A music mashup combines audio elements from two or more songs to create a new work. To reduce the time and effort required to make them, researchers have developed algorithms that predict the compatibility of audio elements. Prior work has…

Sound · Computer Science 2021-03-29 Jiawen Huang , Ju-Chiang Wang , Jordan B. L. Smith , Xuchen Song , Yuxuan Wang

A vital aspect of Indian Classical Music (ICM) is Raga, which serves as a melodic framework for compositions and improvisations alike. Raga Recognition is an important music information retrieval task in ICM as it can aid numerous…

Sound · Computer Science 2024-02-16 Sathwik Tejaswi Madhusudhan , Girish Chowdhary

The dichotic method of hearing sound adapts in the region of musical harmony. The algorithm of the separation of the being dissonant voices into several separate groups is proposed. For an increase in the pleasantness of chords the…

Sound · Computer Science 2024-05-09 Vadim R. Madgazin

Building on a previous study that analyses surface waves in magnetic slabs embedded in a non-magnetic external environment, in this study the model is generalised and external magnetic fields are added. The slab is assumed to be thin, with…

Solar and Stellar Astrophysics · Physics 2020-07-29 William Oxley , Noémi Kinga Zsámberger , Róbert Erdélyi

We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the instability…

Statistical Mechanics · Physics 2015-06-11 Moshe Gitterman , David A. Kessler

The manner in which probability amplitudes of paths sum up to form wave functions of a harmonic oscillator, as well as other, simple 1-dimensional problems, is described. Using known, closed-form, path-based propagators for each problem, an…

Quantum Physics · Physics 2025-11-18 Randall M. Feenstra

A Dhrupad vocal concert comprises a composition section that is interspersed with improvised episodes of increased rhythmic activity involving the interaction between the vocals and the percussion. Tracking the changing rhythmic density, in…

Audio and Speech Processing · Electrical Eng. & Systems 2020-08-04 Rohit M. A. , Preeti Rao

We develop aspects of music theory related to harmony, such as scales, chord formation and improvisation from a combinatorial perspective. The goal is to provide a foundation for this subject by deriving the basic structure from a few…

Sound · Computer Science 2026-02-27 Maksim Lipyanskiy

This paper reports experimental evidence for phononic low-order to high-order harmonic conversion leading to high harmonic generation. Phononic high harmonic generation is mediated by a threshold dependent instability of a driven phonon…

Classical Physics · Physics 2018-04-24 Adarsh Ganesan , Cuong Do , Ashwin A. Seshia

In this paper, we study geometric features of orientation-preserving random dynamical systems on the circle driven by memoryless noise that exhibit stable synchronisation: we consider crack points, invariant measures, and the link between…

Dynamical Systems · Mathematics 2017-08-15 Julian Newman

We study high-order harmonic generation in aligned molecules close to the ionization threshold. Two distinct contributions to the harmonic signal are observed, which show very different responses to molecular alignment and ellipticity of…

Atomic Physics · Physics 2011-09-16 H. Soifer , P. Botheron , D. Shafir , A. Diner , O. Raz , B. D. Bruner , Y. Mairesse , B. Pons , N. Dudovich

In the Pacific Coast of Colombia there is a type of marimba called marimba de chonta, which provides the melodic and harmonic contour for traditional music with characteristic chants and dances. The tunings of this marimba are based on the…

Sound · Computer Science 2018-03-01 Jorge Useche , Rafael Hurtado , Federico Demmer

Transport in a one-dimensional symmetric device can be activated by the combination of thermal noise and a bi-harmonic drive. For the study case of an overdamped Brownian particle diffusing on a periodic one-dimensional substrate, we…

Statistical Mechanics · Physics 2009-11-11 M. Borromeo , F. Marchesoni

Self-sustained musical instruments (bowed string, woodwind and brass instruments) can be modeled by nonlinear lumped dynamical systems. Among these instruments, flutes and flue organ pipes present the particularity to be modeled as a delay…

Classical Physics · Physics 2013-11-12 Soizic Terrien , Christophe Vergez , Benoît Fabre

Structural chirality plays an important role in solid state physics and leads to a variety of novel physics. The feasibility of probing structural chirality of crystals using high harmonic generation in solids is explored in this work.…

Optics · Physics 2020-05-15 Zi-Yu Chen , Rui Qin

Melody harmonization, which involves generating a chord progression that complements a user-provided melody, continues to pose a significant challenge. A chord progression must not only be in harmony with the melody, but also interdependent…

Sound · Computer Science 2023-12-05 Shangda Wu , Yue Yang , Zhaowen Wang , Xiaobing Li , Maosong Sun

We develop a systematic framework for constructing spherical harmonics on the two-dimensional unit sphere as superpositions of Gaussian beams whose poles form well-separated point configurations. The distributional and analytic properties…

Classical Analysis and ODEs · Mathematics 2025-10-22 Xiaolong Han

A basketball bounced on a stiff surface produces a characteristic loud thump, followed by high-pitched ringing. Describing the ball as an inextensible but flexible membrane containing compressed air, I formulate an approximate theory of the…

Popular Physics · Physics 2012-05-22 J. I. Katz

We study the higher order harmonics of scalar modulational instability in the regime where it arises spontaneously through amplification of vacuum fluctuations. We obtain detailed predictions concerning the detunings, intensities, growth…

Optics · Physics 2007-05-23 David Amans , Edouard Brainis , Serge Massar