Results 31 to 40 of about 98,332 (326)

Goldstone modes in Lyapunov spectra of hard sphere systems [PDF]

, 2004
In this paper, we demonstrate how the Lyapunov exponents close to zero of a system of many hard spheres can be described as Goldstone modes, by using a Boltzmann type of approach. At low densities, the correct form is found for the wave number dependence
Astrid S. de Wijn, C. Dellago, H. A. Posch, H. van Beijeren, Henk van Beijeren, J. O. Hirshfelder, S. Chapman, T. Taniguchi   +7 more
core   +1 more source

Universality of the Lyapunov regime for the Loschmidt echo [PDF]

, 2003
The Loschmidt echo (LE) is a magnitude that measures the sensitivity of quantum dynamics to perturbations in the Hamiltonian. For a certain regime of the parameters, the LE decays exponentially with a rate given by the Lyapunov exponent of the underlying
A. Derode, A. Kudrolli, A. Peres, A. Pouydebasque, A. Szafer, A.M. Ozorio de Almeida, B. Eckhardt, C.F.F. Karney, C.H. Bennet, D. Monteoliva, D. Weiss, D. Weiss, D.A. Wisniacki, D.A. Wisniacki, E.J. Heller, E.L. Hahn, F. Toscano, F.M. Cucchietti, F.M. Cucchietti, F.M. Cucchietti, F.M. Cucchietti, F.M. Izrailev, Fernando M. Cucchietti, G. Benenti, G. Benenti, G. Benettin, G. Casati, G. Usaj, G.P. Berman, H. De Raedt, H. van Beijeren, H. van Beijeren, H.M. Pastawski, H.M. Pastawski, H.M. Pastawski, H.M. Pastawski, Horacio M. Pastawski, I.L. Aleiner, J. Vanicek, K. Richter, K. Richter, N.R. Cerruti, N.R. Cerruti, N.R.. Cerruti, O. Bohigas, P. Gaspard, P. Grassberger, P.G. Silvestrov, P.R. Levstein, Ph. Jacquod, Ph. Jacquod, Ph. Jacquod, R. Schack, R. Schuster, R.A. Jalabert, R.A. Méndez-Sánchez, R.B. Laughlin, R.G. Brewer, Rodolfo A. Jalabert, S. Zhang, T. Prosen, T. Prosen, T. Prosen, T. Prosen, W. Wang, W.H. Zurek, W.H. Zurek, W.H. Zurek, W.H. Zurek, W.K. Rhim, Y. Adamov, Z.P. Karkuszewski   +71 more
core   +1 more source

Robust Impedance Control-Based Lyapunov-Hamiltonian Approach for Constrained Robots

International Journal of Advanced Robotic Systems, 2015
A new design of a robust impedance controller for constrained robotic manipulators is presented. The main objective is to stabilize asymptotically, in the task space, the robotic manipulator's end effectors into a desired position, via a desired contact ...
Haifa Mehdi, Olfa Boubaker
doaj   +1 more source

Computational Approach for Complete Lyapunov Functions

, 2018
Ordinary differential equations arise in a variety of applications, including climate modeling, electronics, predator-prey modeling, etc., and they can exhibit highly complicated dynamical behaviour. Complete Lyapunov functions capture this behaviour by dividing the phase space into two disjoint sets: the chain-recurrent part and the transient part. If
Argáez, Carlos, Giesl, Peter, Hafstein, Sigurdur Freyr   +2 more
openaire   +1 more source

Lyapunov function search method for analysis of nonlinear systems stability using genetic algorithm

Научно-технический вестник информационных технологий, механики и оптики
A wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable state vector is considered. The problem of finding a special function (Lyapunov function), which guarantees asymptotic stability for the presented class of ...
A. M. Zenkin, A. A. Peregudin, A. A. Bobtsov   +2 more
doaj   +1 more source

Simple stability conditions of linear discrete time systems with multiple delay [PDF]

Serbian Journal of Electrical Engineering, 2010
In this paper we have established a new Lyapunov-Krasovskii method for linear discrete time systems with multiple time delay. Based on this method, two sufficient conditions for delay-independent asymptotic stability of the linear discrete time systems ...
Stojanović Sreten B., Debeljković Dragutin Lj.   +1 more
doaj   +1 more source

Computational Issues in Nonlinear Dynamical Systems: Creating Bifurcation Diagrams of Lyapunov Exponents Using a Novel Adaptive Approach

IEEE Access
Nonlinear dynamical systems with oscillatory (periodic, quasi-periodic and chaotic) responses are analyzed in this paper through the method of Lyapunov exponents.
Maciej Walczak, Wieslaw Marszalek
doaj   +1 more source

Current Tracking Adaptive Control of Brushless DC Motors

International Journal of Adaptive Control and Signal Processing, EarlyView.
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García, Axel Coronado‐Andrade, Gerardo Espinosa‐Pérez, Luis Alvarez‐Icaza   +3 more
wiley   +1 more source

Violation of hyperbolicity via unstable dimension variability in a chain with local hyperbolic chaotic attractors

, 2012
We consider a chain of oscillators with hyperbolic chaos coupled via diffusion. When the coupling is strong the chain is synchronized and demonstrates hyperbolic chaos so that there is one positive Lyapunov exponent.
Andronov A A, Anosov D V, Bunimovich L A, Bunimovich L A, Ginelli F, Golub G H, Katok A, Kuptsov P V, Kuznetsov S P, Kuznetsov S P, Pavel V Kuptsov, Pikovsky A, Plykin R V, Wang X, Williams R F   +14 more
core   +1 more source

An Adaptive Human Pilot Model With Reaction Time Delay for Enhanced Adaptive Control in Piloted Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley   +1 more source