Nonlinear dynamical behaviors of a complicated dual-rotor aero-engine with rub-impact
Sign Up to like & getrecommendations! Published in 2018 at "Archive of Applied Mechanics"
DOI: 10.1007/s00419-018-1373-y
Abstract: In this paper, the nonlinear dynamical behaviors of a complicated dual-rotor aero-engine with rub-impact are investigated. A novel framework is proposed, in which the sophisticated geometrical structure is considered by finite solid element method and… read more here.
Keywords: dynamical behaviors; impact; complicated dual; rub impact ... See more keywords
Hyperchaotic Analysis and Adaptive Projective Synchronization of Nonlinear Dynamical System
Sign Up to like & getrecommendations! Published in 2017 at "Computational Mathematics and Modeling"
DOI: 10.1007/s10598-017-9378-x
Abstract: In this paper, a new nonlinear dynamical system has been studied which is obtained from the 3D chaotic system. The hyperchaotic analysis of the new system is checked in terms of dissipation, equilibrium points and… read more here.
Keywords: dynamical system; system; analysis; adaptive projective ... See more keywords
Impulsive control of a nonlinear dynamical network and its application to biological networks
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Biological Physics"
DOI: 10.1007/s10867-018-9513-8
Abstract: The control of nonlinear dynamical systems is always a notable problem in science. According to control theory, suitable inputs for a controllable dynamical system are critical. Previous studies have shown some principles to determine control… read more here.
Keywords: impulsive control; network; control; biological networks ... See more keywords
Reduction of dimension for nonlinear dynamical systems
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-016-3272-5
Abstract: We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some cases, one can reduce a nonlinear system of equations into a single equation for one of the state variables, and this… read more here.
Keywords: reduction; dimension nonlinear; reduction dimension; dynamical systems ... See more keywords
Generalized Wright stability for distributed fractional-order nonlinear dynamical systems and their synchronization
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-04979-7
Abstract: In this article, we present a generalization of stability theorems for Caputo fractional derivative to the distributed fractional-order (DFO) case by using the Laplace transform and the asymptotical expansion of the generalized Mittag–Leffler function. We… read more here.
Keywords: nonlinear dynamical; stability; synchronization; distributed fractional ... See more keywords
Machine Learning in Nonlinear Dynamical Systems
Sign Up to like & getrecommendations! Published in 2021 at "Resonance"
DOI: 10.1007/s12045-021-1194-0
Abstract: In this article, we discuss some of the recent developments in applying machine learning (ML) techniques to nonlinear dynamical systems. In particular, we demonstrate how to build a suitable ML framework for addressing two specific… read more here.
Keywords: machine; machine learning; dynamical systems; learning nonlinear ... See more keywords
Identification of nonlinear dynamical systems with time delay
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-021-00783-7
Abstract: This paper proposes a technique to identify nonlinear dynamical systems with time delay. The sparse optimization algorithm is extended to nonlinear systems with time delay. The proposed algorithm combines cross-validation techniques from machine learning for… read more here.
Keywords: time; systems time; time delay; nonlinear dynamical ... See more keywords
Identification of nonlinear dynamical system with synthetic data: a preliminary investigation
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.09.227
Abstract: Abstract This paper introduces a new rationale for learning nonlinear dynamical systems. The method makes use of an additional identification dataset, obtained without performing a new experiment on the system under study. The data are… read more here.
Keywords: dynamical system; identification; system synthetic; nonlinear dynamical ... See more keywords
Relativistic quantum chaos
Sign Up to like & getrecommendations! Published in 2018 at "Physics Reports"
DOI: 10.1016/j.physrep.2018.06.006
Abstract: Abstract Quantum chaos is generally referred to as the study of quantum manifestations or fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical system, an interdisciplinary field that has been active for about… read more here.
Keywords: quantum; relativistic quantum; quantum chaos; physics ... See more keywords
Nonlinear dynamical analysis of sleep electroencephalography using fractal and entropy approaches.
Sign Up to like & getrecommendations! Published in 2018 at "Sleep medicine reviews"
DOI: 10.1016/j.smrv.2017.01.003
Abstract: The analysis of electroencephalography (EEG) recordings has attracted increasing interest in recent decades and provides the pivotal scientific tool for researchers to quantitatively study brain activity during sleep, and has extended our knowledge of the… read more here.
Keywords: analysis; dynamical analysis; electroencephalography; analysis sleep ... See more keywords
A nonlinear dynamical system approach for the yielding behaviour of a viscoplastic material.
Sign Up to like & getrecommendations! Published in 2017 at "Soft matter"
DOI: 10.1039/c6sm02361d
Abstract: A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stresses recently reported in R. Sainudiin, M. Moyers-Gonzalez and T. Burghelea, Soft… read more here.
Keywords: viscoplastic material; dynamical system; model; nonlinear dynamical ... See more keywords