A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of mathematical biology"
DOI: 10.1007/s00285-022-01724-4
Abstract: Homeostasis occurs in a control system when a quantity remains approximately constant as a parameter, representing an external perturbation, varies over some range. Golubitsky and Stewart (J Math Biol 74(1-2):387-407, 2017) developed a notion of infinitesimal… read more here.
Keywords: shape; cycle; cycle systems; homeostasis ... See more keywords
Quasi-Potential Calculation and Minimum Action Method for Limit Cycle
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-018-9509-3
Abstract: We study the noise-induced escape from a stable limit cycle of a non-gradient dynamical system driven by a small additive noise. The fact that the optimal transition path in this case is infinitely long imposes… read more here.
Keywords: limit cycle; action method; minimum action; limit ... See more keywords
Application of hot-film anemometry to resolve the unsteady boundary layer transition of a laminar airfoil experiencing limit cycle oscillations
Sign Up to like & getrecommendations! Published in 2020 at "Experiments in Fluids"
DOI: 10.1007/s00348-020-2907-y
Abstract: The unsteady boundary layer behavior of a supercritical laminar airfoil model, which undergoes limit cycle oscillations in pitch, is investigated by the application of hot-film anemometry. The data basis is a 2D flutter experiment under… read more here.
Keywords: limit cycle; transition; layer; laminar airfoil ... See more keywords
Generating 1-DOF limit cycle walking at target walking speed by feed-forward and feedback limit cycle control
Sign Up to like & getrecommendations! Published in 2017 at "Multibody System Dynamics"
DOI: 10.1007/s11044-017-9568-5
Abstract: We propose the feed-forward and feedback (FaF) control systems for generating the limit cycle walking at a target walking speed by the combined rimless wheel (CRW) model. The proposed FaF control systems can calculate a… read more here.
Keywords: limit cycle; speed; control; target walking ... See more keywords
Perturbation incremental method of limit cycle for a nonlinear conveyor belt system
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06573-2
Abstract: In this paper, we study the limit cycle of a nonlinear conveyor belt system by utilizing the perturbation incremental method. We first divide the system into two subclasses. On account of the former is heteroclinic… read more here.
Keywords: system; method; limit; limit cycle ... See more keywords
Analysis of the non-periodic oscillations of a self-excited friction-damped system with closely spaced modes
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06893-3
Abstract: It is widely known that dry friction damping can bound the self-excited vibrations induced by negative damping. The vibrations typically take the form of (periodic) limit cycle oscillations. However, when the intensity of the self-excitation… read more here.
Keywords: periodic oscillations; friction; limit cycle; closely spaced ... See more keywords
Qualitative Analysis of Crossing Limit Cycles in a Class of Discontinuous Liénard Systems with Symmetry
Sign Up to like & getrecommendations! Published in 2019 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-018-0278-z
Abstract: In this paper, we investigate some qualitative properties of crossing limit cycles for a discontinuous symmetric Liénard system with two zones separated by a straight line. In each zone, it is a smooth Liénard system.… read more here.
Keywords: crossing limit; qualitative analysis; limit; limit cycle ... See more keywords
Investigation of rotating mode behavior in BWR out-of-phase limit cycle oscillations – Part 1: Reduced order model
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2018.08.032
Abstract: Abstract Previous neutronic/thermal-hydraulic (TH) coupled numerical simulations using full-core TRACE/PARCS and SIMULATE-3K BWR models have shown evidence of a specific “rotating mode” behavior (steady rotation of the symmetry line, i.e. constant phase shift of approximately… read more here.
Keywords: limit cycle; phase; rotating mode; model ... See more keywords
Friction Compensation and Limit Cycle Suppression at Low Velocities Based on Extended State Observer
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1863
Abstract: Abstract This paper investigates the extended state observer (ESO) based friction compensation at low velocities with only the position measurement. ESO is an effective model-free friction compensation technique and thus is employed in this paper.… read more here.
Keywords: friction; observer; limit cycle; friction compensation ... See more keywords
Aeroelastic inverse: Estimation of aerodynamic loads during large amplitude limit cycle oscillations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fluids and Structures"
DOI: 10.1016/j.jfluidstructs.2020.103131
Abstract: Abstract This paper presents an algorithm to compute the aerodynamic forces and moments of an aeroelastic wing undergoing large amplitude heave and pitch limit cycle oscillations. The technique is based on inverting the equations of… read more here.
Keywords: cycle oscillations; limit; large amplitude; limit cycle ... See more keywords
The planar discontinuous piecewise linear refracting systems have at most one limit cycle
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2021.101045
Abstract: Abstract In this paper we investigate the limit cycles of planar piecewise linear differential systems with two zones separated by a straight line. It is well known that when these systems are continuous they can… read more here.
Keywords: limit; one limit; limit cycle; limit cycles ... See more keywords