Results 51 to 60 of about 36,359 (205)
Analytical Estimation of the Maximal lyapunov Exponent in Oscillator Chains
, 1998 An analytical expression for the maximal Lyapunov exponent $\lambda_1$ in generalized Fermi-Pasta-Ulam oscillator chains is obtained. The derivation is based on the calculation of modulational instability growth rates for some unstable periodic orbits ...
Dauxois, Thierry +2 more
core +1 more source
Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems
Asian Journal of Control, EarlyView.Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi +2 more
wiley +1 more source
Efficient low-rank solution of generalized Lyapunov equations
Numerische Mathematik, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shank, Stephen D. +2 more
openaire +3 more sources
Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
Lyapunov-Sylvesters operators for (2+1)-Boussinesq equation
Electronic Journal of Differential Equations, 2016 This article studies a technique for solving a two-dimensional Boussinesq equation discretized using a finite difference method. It consists of an order reduction method into a coupled system of second-order equations, and to formulate the fully ...
Abdelhamid Bezia +2 more
doaj
Nonlinear optical dynamics and complex wave structures in nonlinear dispersive media
Scientific ReportsThe research focuses on optical solitons and employs the generalized auxiliary equation technique to obtain soliton resolutions for the nonlinear Kairat-X equation.
Samina Samina +4 more
doaj +1 more source
Generalized Lyapunov equations, matrices with displacement structure, and generalized Bezoutians
Linear Algebra and its Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Weak Chaos from Tsallis Entropy
, 2012 We present a geometric, model-independent, argument that aims to explain why the Tsallis entropy describes systems exhibiting "weak chaos", namely systems whose underlying dynamics has vanishing largest Lyapunov exponent.
Alexandrov AD +13 more
core +2 more sources
Canadian Journal of Statistics, EarlyView.Abstract We establish the consistency and the asymptotic distribution of the least squares estimators of the coefficients of a subset vector autoregressive process with exogenous variables (VARX). Using a martingale central limit theorem, we derive the asymptotic normal distribution of the estimators. Diagnostic checking is discussed using kernel‐based
Pierre Duchesne +2 more
wiley +1 more source
Discrete & Continuous Dynamical Systems - A, 2020 The approximation of the value function associated to a stabilization problem formulated as optimal control problem for the Navier-Stokes equations in dimension three by means of solutions to generalized Lyapunov equations is proposed and analyzed. The specificity, that the value function is not differentiable on the state space must be overcome.
Breiten, Tobias, Kunisch, Karl
openaire +4 more sources