Rhythmic Dynamics and Synchronization via Dimensionality Reduction: Application to Human Gait
Figure 1
Illustration of transforming a pseudo-periodic time series into a new series
by reducing each cycle in
to a point.
(A) Time series form -component of the chaotic Rössler system, which demonstrates obvious oscillatory pattern. It can be divided into consecutive cycles at local minimum points (denoted by triangles). (B) A new representation of the oscillatory time series
on the cycle scale, with each point in
corresponding to a cycle in
.