Results 141 to 150 of about 9,353 (233)

Diagnosing Kinetic Energy Scaling Using Lagrangian and Eulerian Metrics in Different Dynamical Regimes of the North Atlantic

open access: yesJournal of Geophysical Research: Oceans, Volume 131, Issue 6, June 2026.
Abstract Understanding the multiscale dynamics of ocean surface turbulence requires diagnostics that reliably characterize variability at scales both larger and smaller than the Rossby radius of deformation. This study evaluates the consistency and interpretability of second‐order velocity structure functions derived from Eulerian and Lagrangian ...
I. Leimann   +7 more
wiley   +1 more source

Extending Geometric Brownian Motion for Modeling Monthly Streamflow Under Brown Noise Dominance Over Other Colored Noises

open access: yesJAWRA Journal of the American Water Resources Association, Volume 62, Issue 3, June 2026.
ABSTRACT Noise is an inherent component of observed time series and may be treated either as an undesirable disturbance or as an intrinsic system characteristic containing information about underlying dynamics. In the latter perspective, noise behavior must be analyzed and quantified, and the model used for time‐series synthesis should be compatible ...
Shirin Studnicka, Deli Li, Umed Panu
wiley   +1 more source

Hidden Fine‐Scale Transport Pathways and Biological Connectivity Revealed by SWOT

open access: yesGeophysical Research Letters, Volume 53, Issue 10, 28 May 2026.
Abstract Oceanic currents redistribute nutrients, phytoplankton, and other biogenic materials, fundamentally shaping marine biodiversity and ecosystem functioning. Yet, the topology of fine‐scale material transport remains poorly resolved due to limitations in high‐resolution flow observations.
Yunchen Liu   +6 more
wiley   +1 more source

High dimensional, four positive Lyapunov exponents and attractors with four scroll during a new hyperchaotic complex nonlinear model

open access: yesAIP Advances, 2018
New hyperchaotic nonlinear model inclusive complex variables have been introduced in this paper. This model has attributes that differentiate it from several of the models contemplated as of late in literature, for example, (i) this model is a high ...
Emad E. Mahmoud   +2 more
doaj   +1 more source

PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 36, Issue 8, Page 4490-4503, 25 May 2026.
ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh   +2 more
wiley   +1 more source

Lyapunov exponents of systems evolving on quadratic groups

open access: yes, 2003
In this paper we show some symmetry properties of Lyapunov exponents of a dynamical system when the linearized problem evolves on a quadratic group, (XHX)-H-T=H, with H orthogonal.
LOPEZ, Luciano, DIECI L
core   +1 more source

EEG Analysis in Structural Focal Epilepsy Using the Methods of Nonlinear Dynamics (Lyapunov Exponents, Lempel-Ziv Complexity, and Multiscale Entropy). [PDF]

open access: yesScientificWorldJournal, 2020
Yakovleva TV   +11 more
europepmc   +1 more source

Recurrence and Lyapunov Exponents

open access: yes, 2008
We prove two inequalities between the Lyapunov exponents of a dieomorphism and its local recurrence properties.
S. Vaienti, B. Saussol, S. Troubetzkoy
core  

Determining Lyapunov exponents from a time series

open access: yes, 1985
International audienceWe present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series. Lyapunov exponents, which provide a qualitative and quantitative characterization of dynamical behavior ...
Vastano, John   +3 more
core   +1 more source

Extended Lyapunov Exponents for Second Order Systems

open access: yes, 1992
It is shown that the concept of the Lyapunov exponent can be extended to include an imaginary part. A numerical technique used to calculate these extended Lyapunov exponents for second order systems is presented.
Horn, Janice M.
core  

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