1 citations · 1 across the 4 of their papers we have counts for
4 papers
Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles
Andrei Velichko, N'Gbo N'Gbo, Viet-Thanh Pham
Estimating positive largest Lyapunov exponents from data is comparatively natural because neighboring trajectories separate, whereas stable dynamics require resolving contraction b…
Equation-Free Screening of Mittag-Leffler-Compatible Dynamics from Scalar Time Series via kNN Multi-Horizon Profiles
N'Gbo N'Gbo, Andrei Velichko, Bruno Carpentieri
We study an equation-free screen for finite-window Mittag-Leffler compatibility, in which multihorizon relaxation profiles are constructed out of sample by k-nearest-neighbor predi…
FEG-Pro: Forecast-Error Growth Profiling for Finite-Horizon Instability Analysis of Nonlinear Time Series
Andrei Velichko, N'Gbo N'Gbo, Bruno Carpentieri +1
Estimating the largest Lyapunov exponent from a scalar time series is difficult when the governing equations, tangent dynamics, and full state vector are unavailable. We propose FE…
Traveling waves of a generalized Rotation-Camassa-Holm equation with the Coriolis effect
N'Gbo N'Gbo, Yonghui Xia, Tonghua Zhang
In this paper, we analyze the dynamics of a generalized Rotation-Camassa-Holm equation, which is the -equation augmented with the Coriolis effect, induced by the earth rotation.…