We consider diierential equations _ x = f (x;) where the parameter = "t moves slowly through a bifurcation point of f. Such a dynamic bifurcation is often accompanied by a possibly dangerous jump transition. We construct smooth scalar feedback controls which avoid these jumps. For transcritical and pitchfork bifurcations, a small constant additive control is usually suucient. For Hopf bifurcati...

Abstruct-When a generator of a heavily loaded electric power system reaches a reactive power limit, the system can become immediately unstable and a dynamic voltage collapse leading to blackout may follow. We study the statics and dynamics of this mechanism for voltage collapse by example and by the generic theory of saddle node and transcritical bifurcations. Load power margin calculations can...

By means of an example it is shown that a supercritical bifurcation of an invariant 2-torus into an invariant 3-torus prevailing in the case of nonresonance may be replaced by a transcritical bifurcation into a pinched invariant 3-torus in the case of resonance. The connections of these bifurcation phenomena with the properties of the spectrum of the underlying invariant 2-torus are discussed. ...

This paper focuses on the thermodynamic comparison between pure supercritical Carbon Dioxide and blended transcritical power cycles by means of a thorough exergy analysis, considering efficiency, destruction efficiency losses from Carnot cycle as main figures merit. A reference plant based steam Rankine representative state-of-the-art (SoA) Concentrated Solar Power (CSP) plants is selected base...

No AccessTechnical NotesThermodynamic Small Scales in Transcritical Turbulent JetsPasquale Eduardo LapennaPasquale Lapenna https://orcid.org/0000-0002-1966-8743University of Rome “La Sapienza”, 00184 Rome, Italy*Research Associate, Department Mechanical and Aerospace Engineering, via Eudossiana 18.Search for more papers by this authorPublished Online:25 Mar 2021https://doi.org/10.2514/1.J059664...

The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagrams and computation of Lyapunov exponents, not only show the consistence with the theoretical ana...

Steady transcritical flow over a hole: parametric map of solutions of the forced Korteweg-de Vries equation Bernard K. Ee, a) R. H. J. Grimshaw, b) D-H. Zhang, c) and K. W. Chow d) Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Kingdom of Saudi Arabia Department of Mathematical Sciences, Loughborough University, UK Department of Mechanic...

In this paper, the global dynamic behaviors of an SEIQS epidemic system with a nonlinear incidence rate are investigated. At first, the stabilities of equilibria for the system are analyzed. Thus, the codimension-1 bifurcations including transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation are discussed using bifurcation theory. In particular, codimension2 bifurcation (Bogdanov-...

It is proved that a symmetry-breaking bifurcation occurs at a simple eigenvalue despite the usual transversality condition fails, and this bifurcation from a degenerate simple eigenvalue result complements the classical one with the transversality condition. The new result is applied to an imperfect pitchfork bifurcation, in which a forward transcritical bifurcation changes to a backward one wh...