Results 101 to 110 of about 31,539 (227)
A New Hyperchaotic 4D-FDHNN System with Four Positive Lyapunov Exponents and Its Application in Image Encryption. [PDF]
Entropy (Basel), 2022 Liu Z, Li J, Di X.
europepmc +1 more source
Hilbert space Lyapunov exponent stability
Transactions of the American Mathematical Society, 2019 We study cocycles of compact operators acting on a separable Hilbert space and investigate the stability of the Lyapunov exponents and Oseledets spaces when the operators are subjected to additive Gaussian noise. We show that as the noise is shrunk to 0, the Lyapunov exponents of the perturbed cocycle converge to those of the unperturbed cocycle, and ...
Froyland, Gary +2 more
openaire +4 more sources
Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
International Economic Review, EarlyView.ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
wiley +1 more source
Hyperchaos Numerical Simulation and Control in a 4D Hyperchaotic System
Discrete Dynamics in Nature and Society, 2013 A hyperchaotic system is introduced, and the complex dynamical behaviors of such system are investigated by means of numerical simulations. The bifurcation diagrams, Lyapunov exponents, hyperchaotic attractors, the power spectrums, and time charts are ...
Junhai Ma, Yujing Yang
doaj +1 more source
On Metric Choice in Dimension Reduction for Fréchet Regression
International Statistical Review, EarlyView.Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
Numerical Approximation of LYAPUNOV-Exponents for Quasiperiodic Motions
MATEC Web of Conferences, 2018 This paper proposes an approach to approximate the LYAPUNOV -spectrum of quasiperiodic flows on isolated invariant manifolds numerically. Once the invariant manifold has been determined, integrations over the infinite, one dimensional time interval – as ...
Fiedler Robert, Hetzler Hartmut
doaj +1 more source
Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
Journal of Time Series Analysis, EarlyView.ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
Stochasticity of Galactic Orbits of Star Clusters
Open Astronomy, 2015 The Lyapunov, Lagrange and Poincaré criteria are tested for orbits of 461 open clusters in an axisymmetric potential. Lyapunov exponents and Poincaré sections are computed, and all of the trajectories are found to be stable according to the Lagrange and ...
Smirnova L. V.
doaj +1 more source
A Novel Measure Inspired by Lyapunov Exponents for the Characterization of Dynamics in State-Transition Networks. [PDF]
Entropy (Basel), 2021 Sándor B +3 more
europepmc +1 more source
Dynamic Event‐Triggered Robust Model Predictive Control for Quadrotor Trajectory Tracking
International Journal of Robust and Nonlinear Control, Volume 36, Issue 6, Page 3676-3688, April 2026.ABSTRACT This paper addresses the trajectory tracking problem for a full‐state quadrotor subject to physical model constraints and unknown external disturbances. A robust tube‐based model predictive control (MPC) approach is successfully applied to the system, which is subject to bounded disturbances and hard constraints.
Ali Can Erüst +2 more
wiley +1 more source