A class of isochronous and non-isochronous nonlinear oscillators

Isochronous Potentials

Isochronous versus non-isochronous pacing of gait: continuous coupling versus discrete error correction

Recent findings revealed that stride time series exhibit persistent fluctuations when a fractal metronome is used to pace walking. How can this phenomenon be modeled? So-called super central pattern generators (SCPGs) have been shown to reproduce persistent fluctuations of stride time series in self-paced walking and anti-persistent fluctuations of stride times as well as persistent fluctuation...

Both Isochronous and Non-Isochronous Metrical Subdivision Afford Precise and Stable Ensemble Entrainment: A Corpus Study of Malian Jembe Drumming

Most approaches to musical rhythm, whether in music theory, music psychology, or musical neuroscience, presume that musical rhythms are based on isochronous (temporally equidistant) beats and/or beat subdivisions. However, rhythms that are based on non-isochronous, or unequal patterns of time are prominent in the music of Southeast Europe, the Near East and Southern Asia, and in the music of Af...

Asymptotically isochronous systems

Mechanisms are elucidated underlying the existence of dynamical systems whose generic solutions approach asymptotically (at large time) isochronous evolutions: all their dependent variables tend asymptotically to functions periodic with the same fixed period. We focus on two such mechanisms, emphasizing their generality and illustrating each of them via a representative example. The first examp...

Quasi-isochronous storage ring

In tins article we study the possibility of designing storage rings with a reduced by two or more orders of magnitude with respect to existing rings, thus making the bunch length shorter by a factor of 10 or more . We will, with an appropriate design, show that this bunch length reduction can be achieved while simultaneously increasing the beam peak current. With this approach one can increase ...