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Pitch and timing information work hand in hand to create a coherent piece of music; but what happens when this information goes against the norm? Relationships between musical expectancy and emotional responses were investigated in a study…

Neurons and Cognition · Quantitative Biology 2017-08-15 Sarah A. Sauvé , Aminah Sayed , Roger T. Dean , Marcus T. Pearce

We will consider multivariate stochastic processes indexed either by vertices or pairs of vertices of a dynamic network. Under a dynamic network we understand a network with a fixed vertex set and an edge set which changes randomly over…

Statistics Theory · Mathematics 2024-07-15 Alexander Kreiss

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…

Biological Physics · Physics 2010-09-09 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

An analysis of transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces is presented. The synchronization phenomenon is investigated in the ensemble of particles moving…

chao-dyn · Physics 2015-06-24 B. Kaulakys , F. Ivanauskas , T. Meskauskas

This paper asks to what extent social interaction influences one's behavior. We study this in the setting of two dancers dancing as a couple. We first consider a baseline in which we predict a dancer's future moves conditioned only on their…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Vongani Maluleke , Lea Müller , Jathushan Rajasegaran , Georgios Pavlakos , Shiry Ginosar , Angjoo Kanazawa , Jitendra Malik

In the context of the celebrated Kuramoto model of globally-coupled phase oscillators of distributed natural frequencies, which serves as a paradigm to investigate spontaneous collective synchronization in many-body interacting systems, we…

Adaptation and Self-Organizing Systems · Physics 2017-09-20 Shamik Gupta

Music comprises of a set of complex simultaneous events organized in time. In this paper we introduce a novel framework that we call Deep Musical Information Dynamics, which combines two parallel streams - a low rate latent representation…

Sound · Computer Science 2021-02-03 Shlomo Dubnov

The dynamical emergence (and subsequent intermittent breakdown) of collective behavior in complex systems is described as a non-Poisson renewal process, characterized by a waiting-time distribution density $\psi (\tau)$ for the time…

Statistical Mechanics · Physics 2007-05-23 Paolo Allegrini , Mauro Bologna , Paolo Grigolini , Bruce J. West

Long-range synchrony from short-range interactions is a familiar pattern in biological and physical systems, many of which share a common set of ``universal'' properties at the point of synchronization. Common biological systems of coupled…

Statistical Mechanics · Physics 2021-06-14 Vahini Reddy Nareddy , Jonathan Machta , Karen C Abbott , Shadisadat Esmaeili , Alan Hastings

The interaction between individuals in biological populations, dilute components of chemical systems, or particles transported by turbulent flows depends critically on their contact statistics. This work clarifies those statistics under the…

Mathematical Physics · Physics 2022-01-12 Mark Peter Rast

We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when memory range increases,…

Chaotic Dynamics · Physics 2009-11-11 Rafael Morgado , Michal Ciesla , Lech Longa , Fernando A. Oliveira

Real-world systems are characterized by complex interactions of their internal degrees of freedom, while living in ever-changing environments whose net effect is to act as additional couplings. Here, we introduce a paradigmatic interacting…

Statistical Mechanics · Physics 2021-11-23 Giorgio Nicoletti , Daniel Maria Busiello

In animal groups, individual decisions are best characterised by probabilistic rules. Furthermore, animals of many species live in small groups. Probabilistic interactions among small numbers of individuals lead to a so called intrinsic…

Populations and Evolution · Quantitative Biology 2020-04-23 Jitesh Jhawar , Vishwesha Guttal

The neuromagnetic activity (magnetoencephalogram, MEG) from healthy human brain and from an epileptic patient against chromatic flickering stimuli has been earlier analyzed on the basis of a memory functions formalism (MFF). Information…

Medical Physics · Physics 2010-06-29 O. Yu. Panischev , S. A. Demin , J. Bhattacharya

Collective behavior in large ensembles of dynamical units with non-pairwise interactions may play an important role in several systems ranging from brain function to social networks. Despite recent work pointing to simplicial structure,…

Adaptation and Self-Organizing Systems · Physics 2019-06-26 Per Sebastian Skardal , Alex Arenas

Engaging in playful activities, such as playing a musical instrument, learning a language, or performing sports, is a fundamental aspect of human life. We present a quantitative empirical analysis of the engagement dynamics into playful…

Physics and Society · Physics 2019-11-06 David Reguera , Pol Colomer-de-Simón , Iván Encinas , Manel Sort , Jan Wedekind , Marián Boguñá

There is substantial interest in the effect of human mobility patterns on opportunistic communications. Inspired by recent work revisiting some of the early evidence for a L\'evy flight foraging strategy in animals, we analyse datasets on…

Data Analysis, Statistics and Probability · Physics 2010-10-01 Mervyn P. Freeman , Nicholas W. Watkins , Eiko Yoneki , Jon Crowcroft

Quantification of stylistic differences between musical artists is of academic interest to the music community, and is also useful for other applications such as music information retrieval and recommendation systems. Information about…

Applications · Statistics 2020-12-23 Anna K. Yanchenko , Peter D. Hoff

We show that scaling arguments are very useful to analyze the dynamics of periodically modulated noisy systems. Information about the behavior of the relevant quantities, such as the signal-to-noise ratio, upon variations of the noise…

Statistical Mechanics · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

Many biological phenomena such as locomotion, circadian cycles, and breathing are rhythmic in nature and can be modeled as rhythmic dynamical systems. Dynamical systems modeling often involves neglecting certain characteristics of a…

Dynamical Systems · Mathematics 2016-01-20 M. Mert Ankaralı , Shahin Sefati , Manu S. Madhav , Andrew Long , Amy J. Bastian , Noah J. Cowan
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