Results 91 to 100 of about 4,465 (210)

Lyapunov Characteristic Exponents are Nonnegative [PDF]

Proceedings of the American Mathematical Society, 1993
We prove that, for an arbitrary rational map f f on the Riemann sphere and an arbitrary probability invariant measure on the Julia set, Lyapunov characteristic exponents are nonnegative a.e. In particular log ⁡ | f ′ | \log |f’|
openaire   +1 more source

On the Mean‐Field Limit of Consensus‐Based Methods

Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.
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
wiley   +1 more source

Chaos controls of a duffing system with impacts

AIP Advances, 2018
The chaos controls of a Duffing system with impacts are investigated using appropriate random phase. Based on the discontinuous map and Wedig’s algorithm, a procedure of calculating top Lyapunov exponent is presented for stochastic Duffing system with ...
Jinqian Feng
doaj   +1 more source

Lyapunov Exponents and Sensitive Dependence

Journal of Dynamics and Differential Equations, 2010
Precise relationships between Lyapunov exponents and the instability/stability of orbits of scalar discrete dynamical systems are investigated. It is known that positive Lyapunov exponent does not, in general, imply instability, or, equivalently, sensitive dependence on initial conditions.
Kocak, Hueseyin, Palmer, Kenneth J.
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Fast and Slow Signal Propagation in Abiotic Polypeptide Assemblies

ChemBioChem, Volume 27, Issue 6, 27 March 2026.
Proteinoid microspheres formed by thermal polymerization of amino acids exhibit spontaneous electrical potential fluctuations without genetic material, membranes, or ion channels. Multi‐electrode recordings and electron microscopy reveal composition‐dependent voltage oscillations, long‐term drifts, and correlated signals across electrodes.
Panagiotis Mougkogiannis, Andrew Adamatzky   +1 more
wiley   +1 more source

A Novel Data-Driven Approach for Managing Renewable Energy Systems During Short-Term Voltage Instability

IEEE Access
This study investigates the application of the maximum Lyapunov exponent in combination with k-means clustering to identify short-term voltage instability in multi-machine power grids.
Stepan P. Vasilev, Oleg O. Khamisov, Petr S. Vasilev   +2 more
doaj   +1 more source

Robust Adaptive Model Predictive Control for Tracking in Interconnected Systems via Distributed Optimization

International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2907-2926, 25 March 2026.
ABSTRACT This study presents a novel Distributed Robust Adaptive Model Predictive Control (DRAMPC) for tracking in multi‐agent systems. The framework is designed to work with dynamically coupled subsystems and limited communication, which is restricted to local neighborhoods.
Fabio Faliero, Elisa Capello, Andrea Iannelli   +2 more
wiley   +1 more source

Frontal‐Driven Water‐Mass Transformation in a Western Boundary Current: Evidence From the Yucatan Current

Geophysical Research Letters, Volume 53, Issue 5, 16 March 2026.
Abstract We report the recurrent formation of waters with thermohaline properties similar to Gulf Common Water (GCW) in the western Yucatan Channel, absent upstream in the Caribbean. Mooring observations and a partial submesoscale‐resolving model show that these Yucatan GCW forms locally when the Yucatan Current separates from the slope, intensifying a
Giovanni Durante, Julio Sheinbaum, Alejandro Domínguez‐Guadarrama, Julien Jouanno, Luna Hiron, Uwe Send, Homar Verdugo‐Ortega, Angel Ruiz‐Angulo   +7 more
wiley   +1 more source

Forecast of Chaotic Series in a Horizon Superior to the Inverse of the Maximum Lyapunov Exponent

Complexity, 2018
In this article, two models of the forecast of time series obtained from the chaotic dynamic systems are presented: the Lorenz system, the manufacture system, and the volume of the Great Salt Lake of Utah.
Miguel Alfaro, Guillermo Fuertes, Manuel Vargas, Juan Sepúlveda, Matias Veloso-Poblete   +4 more
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Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2456-2462, 15 March 2026.
ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
wiley   +1 more source