Results 51 to 60 of about 4,465 (210)
Entropy potential and Lyapunov exponents [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997 According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function, the entropy potential. The validity and the consequences of this hypothesis are explored in detail. The numerical investigation of a continuous-time model provides a further confirmation to the
Lepri, Stefano +2 more
openaire +4 more sources
Energy Science &Engineering, EarlyView.An adaptive fuzzy controller using an interval type‐3 fuzzy logic system replaces the SMC switching term to mitigate chattering while preserving global stability for islanded inverters. Simulations show lower THD, greater robustness to disturbances and parameter variations, and improved voltage‐tracking accuracy, with applicability to other uncertain ...
Man‐Wen Tian +7 more
wiley +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method [PDF]
Journal of Sciences, Islamic Republic of Iran, 2016 The neutron density is one of the most important dynamical parameters in a reactor. It is directly related to the control and stability of the reactor power. Any change in applied reactivity and some of dynamical parameters in the reactor causes a change
M. Seidi, R. Khodabakhsh, S. Behnia
doaj
Predicting Traffic Flow in Local Area Networks by the Largest Lyapunov Exponent
Entropy, 2016 The dynamics of network traffic are complex and nonlinear, and chaotic behaviors and their prediction, which play an important role in local area networks (LANs), are studied in detail, using the largest Lyapunov exponent.
Yan Liu, Jiazhong Zhang
doaj +1 more source
Estimating Lyapunov exponents in billiards [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019 Dynamical billiards are paradigmatic examples of chaotic Hamiltonian dynamical systems with widespread applications in physics. We study how well their Lyapunov exponent, characterizing the chaotic dynamics, and its dependence on external parameters can be estimated from phase space volume arguments, with emphasis on billiards with mixed regular and ...
George Datseris +2 more
openaire +5 more sources
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study addresses the trajectory tracking control for manipulator robots with uncertainties. The main objective is to ensure that the robot follows a desired trajectory despite the presence of uncertainties/disturbances and considering control input constraints. The approach is developed in the framework of continuous integral sliding modes.
Emanuel Ortiz‐Ortiz +3 more
wiley +1 more source
A pilot variational coupled reanalysis based on the CESAM climate model
Quarterly Journal of the Royal Meteorological Society, EarlyView.Variational data assimilation of in‐situ and satellite ocean data and reanalysis atmospheric data into an intermediate complexity Earth system model is possible by adjusting the surface fluxes and internal model parameters. This pilot application requires nearly complete information on the atmospheric state for synchronization.
Armin Köhl +6 more
wiley +1 more source
Stability analysis of fuzzy controllers through the computation of the Lyapunov Exponent
Revista Iberoamericana de Automática e Informática Industrial RIAI, 2015 In order to design and implement any type of controller, their stability analysis is pivotal. At this regard, Lyapunov's analytical method consists in finding a candidate function as a sufficient but not necessary condition to validate the stability of ...
Leonardo Alonso Martínez Rivera +2 more
doaj +1 more source
Quarterly Journal of the Royal Meteorological Society, EarlyView.The predictability of western and eastern North Pacific blocking events is assessed using analogue‐based diagnostics. Eastern blocks exhibit lower predictability, characterized by faster error growth and higher mean logarithmic divergence rates. The study highlights geographical contrasts in blocking stability.
Anupama K. Xavier +3 more
wiley +1 more source