scholarly journals The Stability of the Nonneman-Vanhoudt Model with the CES Production Function

2011 ◽  
Vol 252 (11-12) ◽  
pp. 47-59
Author(s):  
Anna Sulima
Keyword(s):  
Production Function ◽  
The Stability

scholarly journals Center Manifold Reduction and Perturbation Method in a Delayed Model with a Mound-Shaped Cobb-Douglas Production Function

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Massimiliano Ferrara ◽  
Luca Guerrini ◽  
Giovanni Molica Bisci
Keyword(s):  
Hopf Bifurcation ◽  
Perturbation Method ◽  
Production Function ◽  
Center Manifold ◽  
Normal Form Theory ◽  
Center Manifold Reduction ◽  
Center Manifold Theorem ◽  
Form Theory ◽  
The Stability ◽  
Manifold Reduction

Matsumoto and Szidarovszky (2011) examined a delayed continuous-time growth model with a special mound-shaped production function and showed a Hopf bifurcation that occurs when time delay passes through a critical value. In this paper, by applying the center manifold theorem and the normal form theory, we obtain formulas for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions. Moreover, Lindstedt’s perturbation method is used to calculate the bifurcated periodic solution, the direction of the bifurcation, and the stability of the periodic motion resulting from the bifurcation.

scholarly journals The role of credit rationing in Czech agriculture – the case of large agricultural enterprises 

2012 ◽  
Vol 52 (No. 10) ◽  
pp. 477-488
Author(s):  
L. Čechura
Keyword(s):  
Production Function ◽  
Credit Rationing ◽  
Good Tool ◽  
Agricultural Enterprises ◽  
Loan Market ◽  
Ex Post ◽  
Long Run ◽  
The Stability ◽  
The Impact

The article is concerned with the analysis of the role of credit rationing in Czech agriculture on the case of large agricultural enterprises. The part of results, first presents the author&rsquo;s derivation of the theoretical model (model CR-AS), which represents a good tool (approach) for the analysis of credit rationing on sector level. Second, the focus on large agricultural enterprises and relevant characteristic of agriculture ask for a small adjustment of the derived model CR-AS in the part of model application. Third, the adjusted model is expressed numerically by the employment of econometric methodology. The estimation of the model is made per partes. The co-integration is used for fitting the Cobb-Douglas production function, which embodies the long run production characteristics of large agricultural enterprises. The CR<sup>D</sup>curve is derived based on the stability assumption of the production function that is essential considering the recursive nature of the model. Finally, the specified model is employed in the ex-post analysis of the impact of credit rationing on production level of large agricultural enterprises. The outputs of the analysis suggest that, in average, the group of large agricultural enterprises might not be directly influenced by possible presence of credit rationing on the agricultural loan market. Nevertheless, that might not be the case of small and middle enterprises. The analysis continues with the investigation of possible meeting of credit rationing within both the group of large agricultural enterprises and the group of small and middle enterprises and stresses his implications. Furthermore, the role of the PGRLF (Support and Guarantee Farm and Forestry Fund) is analysed and discussed on the subject of reduction of credit rationing phenomena on the agricultural loan market.&nbsp;

scholarly journals Does Stability Preclude Contractionary Devaluation?

2004 ◽  
Vol 9 (2) ◽  
pp. 51-71
Author(s):  
Syed Zahid Ali
Keyword(s):  
Stability Analysis ◽  
Production Function ◽  
Correspondence Principle ◽  
Balance Of Payments ◽  
Strong Result ◽  
Stability Conditions ◽  
Currency Devaluation ◽  
Contractionary Devaluation ◽  
General Production ◽  
The Stability

In this paper we attempt to assess the relevance of correspondence principle in determining the possible effects of currency devaluation on balance of payments and employment. We developed a model in line with Buffie (1986) who derived a very strong result that if the model is locally stable and if labour and imported inputs are gross substitutes then devaluation will certainly improve labour employment and balance of payments at the same time. For the general production function the Buffie model predicts that devaluation cannot contract both employment and balance of payments at the same time since either of them is incompatible with the stability of the model. Buffie results by and large depend upon stability conditions of the model and what we have demonstrated that stability analysis of the model unfortunately is not free of error. In the corrected model we observe that the results derived by Buffie do not hold in general.

Open discussion

1982 ◽  
Vol 99 ◽  
pp. 605-613
Author(s):  
P. S. Conti
Keyword(s):  
Buenos Aires ◽  
Large Mass ◽  
List Type ◽  
Common Phenomenon ◽  
Open Discussion ◽  
The Stability ◽  
Ring Nebulae

Conti: One of the main conclusions of the Wolf-Rayet symposium in Buenos Aires was that Wolf-Rayet stars are evolutionary products of massive objects. Some questions:–Do hot helium-rich stars, that are not Wolf-Rayet stars, exist?–What about the stability of helium rich stars of large mass? We know a helium rich star of ∼40 MO. Has the stability something to do with the wind?–Ring nebulae and bubbles : this seems to be a much more common phenomenon than we thought of some years age.–What is the origin of the subtypes? This is important to find a possible matching of scenarios to subtypes.

Symmetric Multistep Methods Revisited: II. Numerical Experiments

1999 ◽  
Vol 173 ◽  
pp. 309-314 ◽  
Author(s):  
T. Fukushima
Keyword(s):  
Multistep Methods ◽  
Computational Time ◽  
Integration Time ◽  
Implicit Methods ◽  
Symmetric Methods ◽  
Celestial Bodies ◽  
The Stability ◽  
Predictor Corrector ◽  
Symmetric Multistep Methods ◽  
Integration Errors

AbstractBy using the stability condition and general formulas developed by Fukushima (1998 = Paper I) we discovered that, just as in the case of the explicit symmetric multistep methods (Quinlan and Tremaine, 1990), when integrating orbital motions of celestial bodies, the implicit symmetric multistep methods used in the predictor-corrector manner lead to integration errors in position which grow linearly with the integration time if the stepsizes adopted are sufficiently small and if the number of corrections is sufficiently large, say two or three. We confirmed also that the symmetric methods (explicit or implicit) would produce the stepsize-dependent instabilities/resonances, which was discovered by A. Toomre in 1991 and confirmed by G.D. Quinlan for some high order explicit methods. Although the implicit methods require twice or more computational time for the same stepsize than the explicit symmetric ones do, they seem to be preferable since they reduce these undesirable features significantly.

Uniformity of Magnification from Different Electron Microscopes

1967 ◽  
Vol 25 ◽  
pp. 32-33
Author(s):  
Godfrey C. Hoskins ◽  
V. Williams ◽  
V. Allison
Keyword(s):  
Diffraction Grating ◽  
The Other ◽  
Carbon Replica ◽  
Electron Microscopes ◽  
The Stability

The method demonstrated is an adaptation of a proven procedure for accurately determining the magnification of light photomicrographs. Because of the stability of modern electrical lenses, the method is shown to be directly applicable for providing precise reproducibility of magnification in various models of electron microscopes.A readily recognizable area of a carbon replica of a crossed-line diffraction grating is used as a standard. The same area of the standard was photographed in Phillips EM 200, Hitachi HU-11B2, and RCA EMU 3F electron microscopes at taps representative of the range of magnification of each. Negatives from one microscope were selected as guides and printed at convenient magnifications; then negatives from each of the other microscopes were projected to register with these prints. By deferring measurement to the print rather than comparing negatives, correspondence of magnification of the specimen in the three microscopes could be brought to within 2%.

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