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Theory and Computation of Covariant Lyapunov Vectors

Journal of nonlinear science, 2012-10, Vol.22 (5), p.727-762

2012

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On the stability and control of nonlinear dynamical systems via vector Lyapunov functions

IEEE transactions on automatic control, 2006-02, Vol.51 (2), p.203-215

2006

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Stability and control of large-scale dynamical systems: a vector dissipative systems approach

1, 2011

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Dynamical analysis of a reduced model for the North Atlantic Oscillation

Journal of the atmospheric sciences, 2021-05

2021

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Scalable Input-to-State Stability of Nonlinear Interconnected Systems

IEEE transactions on automatic control, 2024-09, p.1-11

2024

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Transient Stability in Oscillating Multi-Machine Systems Using Lyapunov Vectors

IEEE transactions on power systems, 2018-03, Vol.33 (2), p.2078-2086

2018

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Stability analysis of chaotic systems from data

Nonlinear dynamics, 2023-05, Vol.111 (9), p.8799-8819

2023

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A new mathematical framework for atmospheric blocking events

Climate dynamics, 2020, Vol.54 (1-2), p.575-598

2020

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Fluctuations, response, and resonances in a simple atmospheric model

Physica. D, 2017-06, Vol.349, p.62-76

2017

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Statistical and dynamical properties of covariant lyapunov vectors in a coupled atmosphere-ocean model-multiscale effects, geometric degeneracy, and error dynamics

Journal of physics. A, Mathematical and theoretical, 2016-06, Vol.49 (22), p.224001

2016

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Input-to-state stability of impulsive reaction–diffusion neural networks with infinite distributed delays

Nonlinear dynamics, 2021, Vol.103 (2), p.1733-1755

2021

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Studying partial hyperbolicity inside regimes of motion in Hamiltonian systems

Chaos, solitons and fractals, 2021-03, Vol.144, p.110640, Article 110640

2021

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A projector-based convergence proof of the Ginelli algorithm for covariant Lyapunov vectors

Physica. D, 2019-09, Vol.396, p.18-34

Noethen, Florian

2019

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Stability of stochastic nonlinear delay systems with delayed impulses

Applied mathematics and computation, 2022-05, Vol.421, p.126950, Article 126950

2022

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Vector-Lyapunov-Function-Based Input-to-State Stability of Stochastic Impulsive Switched Time-Delay Systems

IEEE transactions on automatic control, 2019-02, Vol.64 (2), p.654-669

2019

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On the use of near-neutral Backward Lyapunov Vectors to get reliable ensemble forecasts in coupled ocean–atmosphere systems

Climate dynamics, 2020-09, Vol.55 (5-6), p.1125-1139

2020

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Stability of Delayed Reaction-Diffusion Neural-Network Models With Hybrid Impulses via Vector Lyapunov Function

IEEE transaction on neural networks and learning systems, 2023-10, Vol.34 (10), p.7467-7478

2023

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Stochastically perturbed bred vectors in single‐scale systems

Quarterly journal of the Royal Meteorological Society, 2020-10, Vol.146 (733), p.4038-4054

2020

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Dynamical analysis of blocking events: spatial and temporal fluctuations of covariant Lyapunov vectors

Quarterly journal of the Royal Meteorological Society, 2016-07, Vol.142 (698), p.2143-2158

2016

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An ergodic-averaging method to differentiate covariant Lyapunov vectors: Computing the curvature of one-dimensional unstable manifolds of strange attractors

Nonlinear dynamics, 2021-06, Vol.104 (4), p.4083-4102

2021

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Stability analysis of neutral stochastic delay differential equations via the vector Lyapunov function method

Applied mathematics and computation, 2021-09, Vol.405, p.126257, Article 126257

2021

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Distributed robust filtering with H∞ consensus of estimates

Automatica (Oxford), 2011-01, Vol.47 (1), p.1-13

Ugrinovskii, V.

2011

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Multigrid Reduction in Time for Chaotic Dynamical Systems

SIAM journal on scientific computing, 2023-01, Vol.45 (4), p.A2019-A2042

2023

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Four-dimensional ensemble variational data assimilation and the unstable subspace

Tellus. Series A, Dynamic meteorology and oceanography, 2017-01, Vol.69 (1), p.1304504

2017

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Finite-Time Stabilization for Continuous Triangular Systems via Vector Lyapunov Function Approach

IEEE transactions on automatic control, 2022-09, Vol.67 (9), p.4786-4793

Ye, Huawen

2022

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Theory and Computation of Covariant Lyapunov Vectors

On the stability and control of nonlinear dynamical systems via vector Lyapunov functions

Stability and control of large-scale dynamical systems: a vector dissipative systems approach

Dynamical analysis of a reduced model for the North Atlantic Oscillation

Scalable Input-to-State Stability of Nonlinear Interconnected Systems

Transient Stability in Oscillating Multi-Machine Systems Using Lyapunov Vectors

Stability analysis of chaotic systems from data

A new mathematical framework for atmospheric blocking events

Fluctuations, response, and resonances in a simple atmospheric model

Statistical and dynamical properties of covariant lyapunov vectors in a coupled atmosphere-ocean model-multiscale effects, geometric degeneracy, and error dynamics

Input-to-state stability of impulsive reaction–diffusion neural networks with infinite distributed delays

Studying partial hyperbolicity inside regimes of motion in Hamiltonian systems

A projector-based convergence proof of the Ginelli algorithm for covariant Lyapunov vectors

Stability of stochastic nonlinear delay systems with delayed impulses

Vector-Lyapunov-Function-Based Input-to-State Stability of Stochastic Impulsive Switched Time-Delay Systems

On the use of near-neutral Backward Lyapunov Vectors to get reliable ensemble forecasts in coupled ocean–atmosphere systems

Stability of Delayed Reaction-Diffusion Neural-Network Models With Hybrid Impulses via Vector Lyapunov Function

Stochastically perturbed bred vectors in single‐scale systems

Dynamical analysis of blocking events: spatial and temporal fluctuations of covariant Lyapunov vectors

An ergodic-averaging method to differentiate covariant Lyapunov vectors: Computing the curvature of one-dimensional unstable manifolds of strange attractors

Stability analysis of neutral stochastic delay differential equations via the vector Lyapunov function method

Distributed robust filtering with H∞ consensus of estimates

Multigrid Reduction in Time for Chaotic Dynamical Systems

Four-dimensional ensemble variational data assimilation and the unstable subspace

Finite-Time Stabilization for Continuous Triangular Systems via Vector Lyapunov Function Approach

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