Alternative Methods of the Largest Lyapunov Exponent Estimation with Applications to the Stability Analyses Based on the Dynamical Maps-Introduction to the Method. [PDF]
Materials (Basel), 2021 Dabrowski A +5 more
europepmc +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
Lyapunov Spectra of Coulombic and Gravitational Periodic Systems
Entropy, 2017 An open question in nonlinear dynamics is the relation between the Kolmogorov entropy and the largest Lyapunov exponent of a given orbit. Both have been shown to have diagnostic capability for phase transitions in thermodynamic systems.
Pankaj Kumar, Bruce N. Miller
doaj +1 more source
Regularity and randomness in ageing: Differences in resting-state EEG complexity measured by largest Lyapunov exponent. [PDF]
Neuroimage Rep, 2021 Ma MK +5 more
europepmc +1 more source
Symplectic Calculation of Lyapunov Exponents
Physical Review Letters, 1995 The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic matrix. We make use of this fact to develop a new method for the calculation of Lyapunov exponents of such systems.
Habib, Salman, Ryne, Robert D.
openaire +3 more sources
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
Lyapunov exponents, phase transitions, and Chaos bound of ModMax AdS black holes
European Physical Journal C: Particles and FieldsWe study the thermodynamic phase transition of ModMax anti-de Sitter (AdS) black holes using Lyapunov exponents of massless and massive particles in unstable circular orbits.
Gorima Bezboruah +2 more
doaj +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
Power Quality‐Oriented Multiloop Design of Floating Wind Turbines Pitch Control
Wind Energy, Volume 29, Issue 4, April 2026.ABSTRACT Floating offshore wind turbines (FOWTs) face inherent control limitations in above‐rated operating conditions due to right‐half‐plane zeros in the blade‐pitch‐to‐rotor‐speed dynamics, which restrict achievable control bandwidth and may lead to closed‐loop instability.
Marco De Pascali +5 more
wiley +1 more source
European Physical Journal C: Particles and FieldsWe revisit the large-small black hole phase transitions in Reissner–Nordström (RN) AdS black holes coupled with perfect fluid dark matter. Besides the free energy, we examine the features of Lyapunov exponents for both massive and massless particles ...
R. H. Ali, Xiao-Mei Kuang
doaj +1 more source