Dynamics of globally coupled oscillators: Progress and perspectives

A Pikovsky, M Rosenblum - Chaos: An Interdisciplinary Journal of …, 2015 - pubs.aip.org
In this paper, we discuss recent progress in research of ensembles of mean field coupled
oscillators. Without an ambition to present a comprehensive review, we outline most …

Pedestrian-induced lateral vibrations of footbridges: A literature review

ET Ingólfsson, CT Georgakis, J Jönsson - Engineering Structures, 2012 - Elsevier
The earliest scientific descriptions of excessive pedestrian-induced lateral vibrations are
dated back to the 1970s, but it was not until the beginning of the new millennium that bridge …

Low dimensional behavior of large systems of globally coupled oscillators

E Ott, TM Antonsen - Chaos: An Interdisciplinary Journal of Nonlinear …, 2008 - pubs.aip.org
It is shown that, in the infinite size limit, certain systems of globally coupled phase oscillators
display low dimensional dynamics. In particular, we derive an explicit finite set of nonlinear …

Long time evolution of phase oscillator systems

E Ott, TM Antonsen - Chaos: An interdisciplinary journal of nonlinear …, 2009 - pubs.aip.org
It is shown, under weak conditions, that the dynamical evolution of large systems of globally
coupled phase oscillators with Lorentzian distributed oscillation frequencies is, in an …

Observing geometric frustration with thousands of coupled lasers

M Nixon, E Ronen, AA Friesem, N Davidson - Physical review letters, 2013 - APS
Geometric frustration, the inability of an ordered system to find a unique ground state plays a
key role in a wide range of systems. We present a new experimental approach to observe …

Contrarians synchronize beyond the limit of pairwise interactions

K Kovalenko, X Dai, K Alfaro-Bittner, AM Raigorodskii… - Physical Review Letters, 2021 - APS
We give evidence that a population of pure contrarian globally coupled D-dimensional
Kuramoto oscillators reaches a collective synchronous state when the interplay between the …

Synchronisation of chaos and its applications

D Eroglu, JSW Lamb, T Pereira - Contemporary Physics, 2017 - Taylor & Francis
Dynamical networks are important models for the behaviour of complex systems, modelling
physical, biological and societal systems, including the brain, food webs, epidemic disease …

Spontaneous synchronization of motion in pedestrian crowds of different densities

Y Ma, EWM Lee, M Shi, RKK Yuen - Nature human behaviour, 2021 - nature.com
Interacting pedestrians in a crowd spontaneously adjust their footsteps and align their
respective step** phases. This self-organization phenomenon is known as …

Synchronization, phase locking, and metachronal wave formation in ciliary chains

T Niedermayer, B Eckhardt, P Lenz - Chaos: An Interdisciplinary …, 2008 - pubs.aip.org
Synchronization and wave formation in one-dimensional ciliary arrays are studied
analytically and numerically. We develop a simple model for ciliary motion that is complex …

Vibration mechanisms and controls of long-span bridges: a review

Y Fu**o, D Siringoringo - Structural Engineering International, 2013 - Taylor & Francis
Dynamic performance is an important consideration in long-span bridge design. Owing to its
flexibility and low dam**, various types of vibration from different sources of excitation …