73 citations · 369 across the 22 of their papers we have counts for
6 papers · 1 filter
Measuring quasiperiodicity
Suddhasattwa Das, Chris B. Dock, Yoshitaka Saiki +4
The Birkhoff Ergodic Theorem asserts under mild conditions that Birkhoff averages (i.e. time averages computed along a trajectory) converge to the space average. For sufficiently s…
Multi-chaos from Quasiperiodicity
Suddhasattwa Das, James A Yorke
One of the common characteristics of chaotic maps or flows in high dimensions is "unstable dimensional variability", in which there are periodic points whose unstable manifolds hav…
Indestructible dynamics of torus maps
Suddhasattwa Das, James Yorke
Given a -dimensional torus map , where is an integer-matrix and and is a periodic function, we find conditions on under which is semi-conjug…
Quantitative Quasiperiodicity
Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander +1
The Birkhoff Ergodic Theorem concludes that time averages, that is, Birkhoff averages, of a function along an ergodic trajectory of a function …
Avoiding extremes using Partial Control
Suddhasattwa Das, James Yorke
Dynamical systems can be prone to severe fluctuations due to the presence of chaotic dynamics. This paper explains for a toy chaotic economic model how such a system can be regulat…
Super convergence of ergodic averages for quasiperiodic orbits
Suddhasattwa Das, James A. Yorke
By definition, a map quasiperiodic on a set if the map is conjugate to a pure rotation. Suppose we have a trajectory that we suspect is quasiperiodic. How do we determi…