Results 141 to 150 of about 9,353 (233)
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
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
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
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
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
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]
Yakovleva TV +11 more
europepmc +1 more source
Recurrence and Lyapunov Exponents
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
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
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

