On the probability of finding nonphysical solutions through shadowing

Accurate predictions of chaotic motion of a free fall disk

(2021) Tianzhuang Xu et al.   PHYSICS OF FLUIDS

Influence of numerical noises on computer-generated simulation of spatio-temporal chaos

(2020) Shijie Qin et al.   CHAOS SOLITONS & FRACTALS

On the risks of using double precision in numerical simulations of spatio-temporal chaos

(2020) Tianli Hu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Periodic shadowing sensitivity analysis of chaotic systems

(2019) Davide Lasagna et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A new mathematical framework for atmospheric blocking events

(2019) Valerio Lucarini et al.   CLIMATE DYNAMICS

On the Validity of Linear Response Theory in High-Dimensional Deterministic Dynamical Systems

(2018) Caroline L. Wormell et al.   JOURNAL OF STATISTICAL PHYSICS

Crisis of the chaotic attractor of a climate model: a transfer operator approach

(2018) Alexis Tantet et al.   NONLINEARITY

Clean numerical simulation: a new strategy to obtain reliable solutions of chaotic dynamic systems

(2018) Xiaoming Li et al.   APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Sensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Shadowing (NILSS)

(2017) Angxiu Ni et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Least squares shadowing sensitivity analysis of a modified Kuramoto–Sivashinsky equation

(2014) Patrick J. Blonigan et al.   CHAOS SOLITONS & FRACTALS

Least Squares Shadowing sensitivity analysis of chaotic limit cycle oscillations

(2014) Qiqi Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Periodic orbits near onset of chaos in plane Couette flow

(2012) Tobias Kreilos et al.   CHAOS

A review of linear response theory for general differentiable dynamical systems

(2009) David Ruelle   NONLINEARITY