Results 71 to 80 of about 521,019 (237)
Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation
Quarterly Journal of the Royal Meteorological Society, EarlyView.A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan +3 more
wiley +1 more source
Method for calculating Lyapunov-exponent.
, 2023 A: Average Mutual Information (AMI) for all time series to determine overall delay. B: Distribution of considered delays as first AMI minimum. Overall delay was set to τ = 29.
Alexander Kunert (6611894) +3 more
core +1 more source
Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
ADBA Computer ScienceThe numerical investigation of fractional-order chaotic systems is computationally demanding due to the long-memory effect of fractional derivatives and the need for small integration step sizes. In particular, computing bifurcation diagrams and Lyapunov
Haris Calgan, Hang Li
doaj +1 more source
Largest Lyapunov Exponents and Bifurcations of Stochastic Nonlinear Systems
Shock and Vibration, 1996 Two commonly adopted expressions for the largest Lyapunov exponents of linearized stochastic systems are reviewed. Their features are discussed in light of bifurcation analysis and one expression is selected for evaluating the largest Lyapunov exponent ...
C.W.S. To, D.M. Li
doaj +1 more source
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
The Lyapunov Exponent of Products of Random 2×2 Matrices Close to the Identity [PDF]
, 2012 We study products of arbitrary random real 2×2 matrices that are close to the identity matrix. Using the Iwasawa decomposition of SL(2,ℝ), we identify a continuum regime where the mean values and the covariances of the three Iwasawa parameters are ...
A. Comtet +3 more
semanticscholar +1 more source
Complex Projective Structures: Lyapunov Exponent, Degree and Harmonic Measure
, 2017 International audienceWe study several new invariants associated to a holomorphic projective struc- ture on a Riemann surface of finite analytic type: the Lyapunov exponent of its holonomy which is of probabilistic/dynamical nature and was introduced in ...
Bertrand Deroin +3 more
core +4 more sources
Stability analysis and quasinormal modes of Reissner–Nordstrøm space-time via Lyapunov exponent [PDF]
, 2012 We explicitly derive the proper-time (τ) principal Lyapunov exponent (λp) and coordinate-time (t) principal Lyapunov exponent (λc) for Reissner–Nordstrøm (RN) black hole (BH). We also compute their ratio. For RN space-time, it is shown that the ratio is (
P. Pradhan
semanticscholar +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle +3 more
wiley +1 more source