Results 61 to 70 of about 31,539 (227)

Lyapunov Equivalent Representation Form of Forced, Damped, Nonlinear, Two Degree-of-Freedom Systems

open access: yesApplied Sciences, 2018
The aim of this paper focuses on finding equivalent representation forms of forced, damped, two degree-of-freedom, nonlinear systems in the sense of Lyapunov by using a nonlinear transformation approach that provides decoupled, forced, damped, nonlinear ...
Alex Elías-Zúñiga   +3 more
doaj   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

Determining the Lyapunov Spectrum of Continuous-Time 1D and 2D Multiscroll Chaotic Oscillators via the Solution of m-PWL Variational Equations

open access: yesAbstract and Applied Analysis, 2013
An algorithm to compute the Lyapunov exponents of piecewise linear function-based multidirectional multiscroll chaotic oscillators is reported. Based on the m regions in the piecewise linear functions, the suggested algorithm determines the individual ...
Jesus Manuel Munoz-Pacheco   +3 more
doaj   +1 more source

Lower and upper bounds for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of the Oseledet's splitting

open access: yes, 2012
We consider locally minimizing measures for the conservative twist maps of the $d$-dimensional annulus or for the Tonelli Hamiltonian flows defined on a cotangent bundle $T^*M$. For weakly hyperbolic such measures (i.e.
Foulon, Green, M.-C. ARNAUD
core   +4 more sources

A hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao   +2 more
wiley   +1 more source

Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures

open access: yes, 2012
In this article, we study the minimizing measures of the Tonelli Hamiltonians. More precisely, we study the relationships between the so-called Green bundles and various notions as: - the Lyapunov exponents of minimizing measures; -the weak KAM solutions.
Arnaud, Marie-Claude
core   +3 more sources

Cardiorespiratory cross‐frequency coupling biomarker for sudden unexpected death in epilepsy

open access: yesEpilepsia, EarlyView.
Abstract Objective Sudden unexpected death in epilepsy (SUDEP) often follows generalized tonic–clonic seizures during sleep, likely resulting from impaired brainstem cardiorespiratory function. We used ictal electrocardiogram (ECG)‐based cross‐frequency phase–amplitude coupling (PAC) to detect cardiorespiratory disruptions, comparing SUDEP to non‐SUDEP
Adam C. Gravitis   +7 more
wiley   +1 more source

Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum

open access: yesJournal of High Energy Physics, 2022
In classical chaotic systems the entropy, averaged over initial phase space distributions, follows a universal behavior. While approaching thermal equilibrium it passes through a stage where it grows linearly, while the growth rate, the Kolmogorov-Sinai ...
Georg Maier   +2 more
doaj   +1 more source

Sectional Lyapunov exponents [PDF]

open access: yesProceedings of the American Mathematical Society, 2010
Sectional Lyapunov exponents are characterized by using sectional Anosov flows. A result by Sataev is also extended.
openaire   +1 more source

Disturbance‐Resilient Voltage/Power‐Quality Management for Islanded Inverters Using Self‐Tuning Type‐3 Fuzzy Controller

open access: yesEnergy Science &Engineering, EarlyView.
An adaptive fuzzy controller using an interval type‐3 fuzzy logic system replaces the SMC switching term to mitigate chattering while preserving global stability for islanded inverters. Simulations show lower THD, greater robustness to disturbances and parameter variations, and improved voltage‐tracking accuracy, with applicability to other uncertain ...
Man‐Wen Tian   +7 more
wiley   +1 more source

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