Results 51 to 60 of about 8,668 (249)
Entropy, 2021 The combination of network sciences, nonlinear dynamics and time series analysis provides novel insights and analogies between the different approaches to complex systems.
Bulcsú Sándor +3 more
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Sectional Lyapunov exponents [PDF]
Proceedings of the American Mathematical Society, 2010 Sectional Lyapunov exponents are characterized by using sectional Anosov flows. A result by Sataev is also extended.
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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
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Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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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
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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
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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
Ensemble Kalman filter in latent space using a variational autoencoder pair
Quarterly Journal of the Royal Meteorological Society, EarlyView.The use of the ensemble Kalman filter (EnKF) in strongly nonlinear or constrained atmospheric, oceanographic, or sea‐ice models can be challenging. Applying the EnKF in the latent space of a variational autoencoder (VAE) ensures that the ensemble members satisfy the balances and constraints present in the model.
Ivo Pasmans +4 more
wiley +1 more source