Study on noise control effect based on generalized Lorenz system
Sign Up to like & getrecommendations! Published in 2019 at "Applied Acoustics"
DOI: 10.1016/j.apacoust.2018.10.008
Abstract: Abstract The suppression of ship radiation noise is studied through a generalized Lorenz system. The system integrates a classical Lorentz system with a time-delay feedback control and an external acoustic excitation. The output of the… read more here.
Keywords: lorenz system; system; state; generalized lorenz ... See more keywords
Meromorphic and formal first integrals for the Lorenz system
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2018.1440745
Abstract: The Lorenz system , is completely integrable with two functional independent first integrals when σ = 0 and β, r arbitrary. In this paper, we study the integrability of the Lorenz system when σ,β, r… read more here.
Keywords: lorenz system; formal first; first integrals; meromorphic first ... See more keywords
Research on a New Singularity-Free Controller for Uncertain Lorenz System
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2942151
Abstract: It is a challenge problem to stably control the well-known Lorenz system with uncertain parameters because of its nonlinearity and singularity. In this paper, by combining Zhang dynamics (ZD) and gradient-algorithm, a novel Zhang-Gradient (ZG)… read more here.
Keywords: lorenz system; system; research new; singularity ... See more keywords
Synchronization of hyper-Lorenz system based on DNA strand Displacement.
Sign Up to like & getrecommendations! Published in 2021 at "IEEE/ACM transactions on computational biology and bioinformatics"
DOI: 10.1109/tcbb.2020.3048753
Abstract: Lorenz system is depicted by chemical reaction equations of an ideal formal chemical reaction network, and a series of reversible reactions are added into chemical reaction network in order to construct a cluster of hyper-Lorenz… read more here.
Keywords: lorenz system; chemical reaction; dna;
Compilation of a Coupled Hyper-Chaotic Lorenz System Based on DNA Strand Displacement Reaction Network
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on NanoBioscience"
DOI: 10.1109/tnb.2020.3031360
Abstract: Ideal formal chemical reaction network is an effective programming language to design complex system dynamical behavior. In this article, a coupled hyper-chaotic Lorenz system can be described by the ordinary differential equations of an ideal… read more here.
Keywords: lorenz system; reaction network; hyper chaotic; reaction ... See more keywords
Dynamic analysis of the dual Lorenz system
Sign Up to like & getrecommendations! Published in 2020 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557120501715
Abstract: The dual Lorenz system as an autonomous system of three differential equations is obtained by using the Lorenz system of differential equations in the paper [B. M. Piperevski, For one system of dif... read more here.
Keywords: system; lorenz system; dual lorenz; analysis dual ... See more keywords
A Note on Hidden Transient Chaos in the Lorenz System
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2016-0168
Abstract: Abstract In this paper, the classic Lorenz system is revisited. Some dynamical behaviors are shown with the Rayleigh number ρ$\rho $ somewhat smaller than the critical value 24.06 by studying the basins characterization of attraction… read more here.
Keywords: transient chaos; lorenz system; hidden transient;
Synchronization, Control and Data Assimilation of the Lorenz System
Sign Up to like & getrecommendations! Published in 2023 at "Algorithms"
DOI: 10.3390/a16040213
Abstract: We explore several aspects of replica synchronization with the goal of retrieving the values of parameters applied to the Lorenz system. The idea is to establish a computer replica (slave) of a natural system (master,… read more here.
Keywords: system; synchronization control; lorenz system; data assimilation ... See more keywords
Weak Signal Detection Method Based on the Coupled Lorenz System and Its Application in Rolling Bearing Fault Diagnosis
Sign Up to like & getrecommendations! Published in 2020 at "Applied Sciences"
DOI: 10.3390/app10124086
Abstract: Rolling bearings are widely used in rotating machinery. Their fault feature signals are often submerged in strong noise and are difficult to identify. This paper presents a new method of bearing fault diagnosis that combines… read more here.
Keywords: coupled lorenz; system; lorenz system; method ... See more keywords