On the dual linear periodic time‐delay system: Spectrum and Lyapunov matrices, with application to ℋ2 analysis and balancing
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4970
Abstract: We present novel theoretical concepts for linear time‐periodic systems with multiple delays, which are closely related to the spectral properties and Lyapunov matrices. At the basis of the main results is the associated dual system,… read more here.
Keywords: time; system; periodic systems; lyapunov matrices ... See more keywords
Regularization dependence of the OTOC. Which Lyapunov spectrum is the physical one?
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep07(2019)107
Abstract: A bstractWe study the contour dependence of the out-of-time-ordered correlation function (OTOC) both in weakly coupled field theory and in the Sachdev-Ye-Kitaev (SYK) model. We show that its value, including its Lyapunov spectrum, depends sensitively… read more here.
Keywords: lyapunov; time; otoc; weakly coupled ... See more keywords
The application of nonlinear local Lyapunov vectors to the Zebiak–Cane model and their performance in ensemble prediction
Sign Up to like & getrecommendations! Published in 2017 at "Climate Dynamics"
DOI: 10.1007/s00382-017-3920-6
Abstract: Nonlinear local Lyapunov vectors (NLLVs) are the nonlinear extension of the Lyapunov vectors (LVs) based on linear error growth theory. As a development of bred vectors (BVs), NLLVs retain the time-saving, simply-applied and flow-dependent advantages… read more here.
Keywords: nonlinear local; lyapunov; lyapunov vectors; model ... See more keywords
Multi-objective Lyapunov-based controller design for nonlinear systems via genetic programming
Sign Up to like & getrecommendations! Published in 2021 at "Neural Computing and Applications"
DOI: 10.1007/s00521-021-06453-1
Abstract: In system control, stability is considered the most important factor as unstable system is impractical or dangerous to use. Lyapunov direct method, one of the most useful tools in the stability analysis of nonlinear systems,… read more here.
Keywords: lyapunov; genetic programming; control; multi objective ... See more keywords
The direct method of Lyapunov for nonlinear dynamical systems with fractional damping
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05962-3
Abstract: In this paper, we introduce a generalization of Lyapunov’s direct method for dynamical systems with fractional damping. Hereto, we embed such systems within the fundamental theory of functional differential equations with infinite delay and use… read more here.
Keywords: lyapunov; direct method; systems fractional; fractional damping ... See more keywords
A projector-based convergence proof of the Ginelli algorithm for covariant Lyapunov vectors
Sign Up to like & getrecommendations! Published in 2019 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2019.02.012
Abstract: Abstract Linear perturbations of solutions of dynamical systems exhibit different asymptotic growth rates, which are naturally characterized by so-called covariant Lyapunov vectors (CLVs). Due to an increased interest of CLVs in applications, several algorithms were… read more here.
Keywords: ginelli algorithm; proof; lyapunov; convergence proof ... See more keywords
The relation between quenched and annealed Lyapunov exponents in random potential on trees
Sign Up to like & getrecommendations! Published in 2018 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2017.08.020
Abstract: In the first part of the article our subject of interest is a simple symmetric random walk on the integers which faces a random risk to be killed. This risk is described by random potentials,… read more here.
Keywords: lyapunov; relation quenched; exponents random; quenched annealed ... See more keywords
On the fractional Lyapunov exponent for Hadamard-type fractional differential system.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0131661
Abstract: This paper is mainly dedicated to defining an adequate notion of fractional Lyapunov exponent to the Hadamard-type fractional differential system (HTFDS). First, the continuous dependence of the solution to a nonautonomous HTFDS is discussed. Then,… read more here.
Keywords: system; lyapunov; lyapunov exponent; exponent hadamard ... See more keywords
Hilbert space Lyapunov exponent stability
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7521
Abstract: We study cocycles of compact operators acting on a separable Hilbert space and investigate the stability of the Lyapunov exponents and Oseledets spaces when the operators are subjected to additive Gaussian noise. We show that… read more here.
Keywords: lyapunov; stability; lyapunov exponent; space lyapunov ... See more keywords
On the dynamics of Comet 1P/Halley: Lyapunov and power spectra
Sign Up to like & getrecommendations! Published in 2019 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/stz1139
Abstract: Using a purely Newtonian model for the Solar System, we investigate the dynamics of comet 1P/Halley considering in particular the Lyapunov and power spectra of its orbit, using the nominal initial conditions of JPL's Horizons… read more here.
Keywords: lyapunov; comet halley; lyapunov power; power spectra ... See more keywords
Non-monotonic Lyapunov-Krasovskii functional approach to stability analysis and stabilization of discrete time-delay systems
Sign Up to like & getrecommendations! Published in 2020 at "IEEE/CAA Journal of Automatica Sinica"
DOI: 10.1109/jas.2020.1003102
Abstract: In this paper, a novel non-monotonic Lyapunov-Krasovskii functional approach is proposed to deal with the stability analysis and stabilization problem of linear discrete time-delay systems. This technique is utilized to relax the monotonic requirement of… read more here.
Keywords: lyapunov; non monotonic; delay systems; stability ... See more keywords