Results 11 to 20 of about 30,697 (220)

Stability of Quantum Motion: Beyond Fermi-golden-rule and Lyapunov decay [PDF]

Physical Review E, 2003
We study, analytically and numerically, the stability of quantum motion for a classically chaotic system. We show the existence of different regimes of fidelity decay which deviate from Fermi Golden rule and Lyapunov decay.Comment: 5 pages, 5 ...
A. Peres, Baowen Li, D.A. Wisniacki, D.A. Wisniacki, F. Borgonovi, F.M. Cucchietti, F.M. Cucchietti, G. Benenti, G. Casati, J. Emerson, J. Vaníček, N.R. Cerruti, N.R. Cerruti, Ph. Jacquod, Ph. Jacquod, R.A. Jalabert, T. Prosen, T. Prosen, W.G. Wang, Wen-ge Wang   +19 more
core   +4 more sources

Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems [PDF]

Physical Review E, 2002
The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external
C. Wagner, C.M. Newman, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, Ch. Dellago, D. Gupalo, D. Panja, D. Panja, D. Ruelle, D.J. Evans, D.J. Evans, D.J. Isbister, D.J. Searles, F. Bonetto, G. Benettin, G. Paladin, G.P. Morriss, G.P. Morriss, Gary P. Morriss, H. van Beijeren, H. van Beijeren, H. van Beijeren, H.A. Posch, I. Shimada, J.-P. Eckmann, J.-P. Eckmann, Lj. Milanović, M. Dolowschiák, M.P. Wojtkowski, P. Gaspard, R. Livi, R. van Zon, R. van Zon, S. Sarman, S. Sastry, T. Taniguchi, T. Taniguchi, Tooru Taniguchi, U. Dressler, W.G. Hoover, W.G. Hoover, Ya.G. Sinai   +43 more
core   +3 more sources

Lyapunov spectra and conjugate-pairing rule for confined atomic fluids [PDF]

Journal of Chemical Physics, 2010
In this work we present nonequilibrium molecular dynamics simulation results for the Lyapunov spectra of atomic fluids confined in narrow channels of the order of a few atomic diameters. We show the effect that realistic walls have on the Lyapunov spectra. All the degrees of freedom of the confined system have been considered.
Billy D Todd, Federico Frascoli
exaly   +4 more sources

Investigations on MIT and Lyapunov rule-based modified MRAC for noninteracting and interacting two-tank coupled systems [PDF]

FME Transactions
The adaptive control method is a technique that measures the dynamic characteristics of the plant automatically and continuously to make a comparison with its required output.
Gupta Dhananjay, Kumar Awadhesh, Kumar Giri Vinod   +2 more
doaj   +2 more sources

Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo

Physical Review E, 2001
The overlap of two wave functions evolving in time with slightly different Hamiltonians decays exponentially, for perturbation strengths greater than the level spacing. We present numerical evidence for a dynamical system that the decay rate is given by the smallest of the Lyapunov exponent of the classical chaotic dynamics and the level broadening ...
Ph Jacquod, Carlo Beenakker
exaly   +6 more sources

Fluctuation relation and pairing rule for Lyapunov exponents of inertial particles in turbulence [PDF]

Journal of Statistical Mechanics: Theory and Experiment, 2007
6 ...
Itzhak Fouxon
exaly   +4 more sources

Lyapunov Spectrum and the Conjugate Pairing Rule for a Thermostatted Random Lorentz Gas: Kinetic Theory

Physical Review Letters, 1997
for the exponents of systems with more than one pair of exponents. In this paper we present an analytical calculation of the four Lyapunov exponents for a dilute, three-dimensional Lorentz gas with randomly placed hard sphere scatterers, both for an equilibrium system and for a system where the moving particle is placed in a thermostatted applied field.
Arnulf Latz
exaly   +4 more sources

Speed Control of a Rotary Servo-Base Unit: Lyapunov and Mit Rule Approaches

Proceedings of the International Scientific Conference - Sinteza 2025
under contract 451-03-137/2025-03/200105, from date 04.02 ...
Vesović, Mitra, Zarić, Vladimir, Perišić, Natalija, Jovanović, Radiša   +3 more
exaly   +3 more sources

Design of Lyapunov rule based model reference adaptive control with decoupler for petroleum distillation column control

Discover Applied Sciences
The petroleum industry heavily relies on distillation as a key separation technique for product purification. However, controlling the petroleum distillation columns is challenging due to their highly nonlinear nature, interactions between variables, and
Kbrom Tekulu Desta, Mebrahatom Yihdego Mekonen, Abrham Mamu Abebe, Gebrekiros Gebreyesus Gebremariam, Yemane Hailay Nega   +4 more
doaj   +2 more sources

Design of a Taguchi-GRA optimized PID and adaptive PID controllers for speed control of DC motor [PDF]

Archives of Electrical Engineering, 2021
DC motors have wide acceptance in industries due to their high efficiency, low costs, and flexibility. The paper presents the unique design concept of a multi-objective optimized proportional-integral-derivative (PID) controller and Model Reference ...
Mary Ann George, Dattaguru V. Kamat
doaj   +1 more source