Determination of reaction flux from concentration fluctuations near a Hopf bifurcation

2014 ◽  
Vol 141 (14) ◽  
pp. 144102 ◽  
Author(s):  
C. Bianca ◽  
A. Lemarchand
Keyword(s):  
Hopf Bifurcation ◽  
Concentration Fluctuations ◽  
Reaction Flux

scholarly journals Absolute Determination of the Single-Photon Optomechanical Coupling Rate via a Hopf Bifurcation

2021 ◽  
Vol 15 (3) ◽  
Author(s):  
Paolo Piergentili ◽  
Wenlin Li ◽  
Riccardo Natali ◽  
David Vitali ◽  
Giovanni Di Giuseppe
Keyword(s):  
Hopf Bifurcation ◽  
Single Photon ◽  
Absolute Determination ◽  
Coupling Rate ◽  
Optomechanical Coupling

scholarly journals Thermodynamics And Concentration Fluctuations Of Liquid Al-Cu And Al-Zn Alloys

2015 ◽  
Vol 60 (2) ◽  
pp. 649-655 ◽  
Author(s):  
M. Trybuła ◽  
N. Jakse ◽  
W. Gąsior ◽  
A. Pasturel
Keyword(s):  
Nearest Neighbors ◽  
Concentration Fluctuations ◽  
Volume Model ◽  
Cu Alloys ◽  
Free Volume Model ◽  
Thermodynamic Relationship ◽  
Rich Side ◽  
Zn Alloy ◽  
Zn Alloys

Abstract Thermodynamic properties of liquid Al-Cu and Al-Zn alloys are investigated using the free volume model. We also analyse local atomic arrangements and concentration fluctuations in both liquid binary alloys from the determination of the Warren-Cowley short-range order. For liquid Al-Cu alloys, our findings indicate a strong preference for heteroatomic nearest-neighbors bonds on the Cu-rich side and weaker ones in the Al-rich part while for the liquid Al-Zn alloy, a tendency to the phase separation is observed. Basing on Darken’s thermodynamic relationship, diffusivity has been examined for both liquid alloys.

scholarly journals Determination of a Hopf bifurcation of natural convection in a symmetric heated square cavity

2018 ◽  
Vol 36 (4) ◽  
pp. 1268-1275
Author(s):  
Omar Kholai ◽  
Djoubeir Debbah ◽  
Abdelkader Filali
Keyword(s):  
Natural Convection ◽  
Hopf Bifurcation ◽  
Square Cavity

scholarly journals On the effect of model uncertainty on the Hopf bifurcation of aeroelastic systems

2021 ◽  
Author(s):  
Andrea Iannelli ◽  
Mark Lowenberg ◽  
Andrés Marcos
Keyword(s):  
Nonlinear Dynamics ◽  
Hopf Bifurcation ◽  
Model Uncertainty ◽  
Relevant Information ◽  
Systematic Investigation ◽  
Aeroelastic System ◽  
Physical Mechanisms ◽  
Analysis Technique ◽  
Numerical Approaches

AbstractThis paper investigates the effect of model uncertainty on the nonlinear dynamics of a generic aeroelastic system. Among the most dangerous phenomena to which these systems are prone, Limit Cycle Oscillations are periodic isolated responses triggered by the nonlinear interactions among elastic deformations, inertial forces, and aerodynamic actions. In a dynamical systems setting, these responses typically emanate from Hopf bifurcation points, and thus a recently proposed framework, which address the problem of robustness from a nonlinear dynamics viewpoint, is employed. Briefly, the notion of robust bifurcation margin extends the concept of $$\mu $$ μ analysis technique from the robust control theory. The main contribution of this article is a systematic investigation of the numerous scenarios arising in the study of nonlinear flutter when uncertainties in the model are accounted for in the analyses. The advantages of adopting this framework include the possibility to: quantify relevant information for the determination of the nonlinear stability envelope; gain a more in-depth understanding of the physical mechanisms triggering subcritical and supercritical Hopf bifurcations; and reveal properties of the nominal system by identifying isolated branches not straightforward to detect with conventional numerical approaches.

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