This article presents a novel approach to analyzing quasiperiodically driven dynamical
systems. It presents a holistic data-driven framework for reconstructing such a system and …

In many applications, one is interested in classifying trajectories of symplectic maps as
invariant tori, islands, or chaos. Here, we introduce Birkhoff reduced rank extrapolation …

Super convergence of ergodic averages for quasiperiodic orbits Page 1 Nonlinearity PAPER
Super convergence of ergodic averages for quasiperiodic orbits To cite this article: Suddhasattwa …

This paper investigates the utility of the weighted Birkhoff average (WBA) for distinguishing
between regular and chaotic orbits of flows, extending previous results that applied the WBA …

Quantitative quasiperiodicity Page 1 Nonlinearity PAPER Quantitative quasiperiodicity To cite
this article: Suddhasattwa Das et al 2017 Nonlinearity 30 4111 Manuscript version: Accepted …

In this paper, we distinguish between four categories of dynamics for quasiperiodically-
forced (QPF) circle maps: resonant and incommensurate regular dynamics, and strongly and …

This paper focuses on distinguishing classes of dynamical behavior for one-and two-
dimensional torus maps, in particular, between orbits that are incommensurate, resonant …

The analysis of a timeseries can provide many new perspectives if it is accompanied by the
assumption that the timeseries is generated from an underlying dynamical system. For …

A dynamical system may be defined by a simple transition law-such as a map or a vector
field. The objective of most learning techniques is to reconstruct this dynamic transition law …

A discrete-time deterministic dynamical system is governed at every step by a
predetermined law. However the dynamics can lead to many complexities in the phase …