scholarly journals THE LOCAL STABILITY CRITERIA OF THE TOKAMAK AND THE EFFECT OF THE MULTIPOLE FIELD

1976 ◽  
Vol 25 (5) ◽  
pp. 399
Author(s):  
HUO YU-PING
Keyword(s):  
Local Stability ◽  
Stability Criteria ◽  
Multipole Field

Structural Performance Evaluation of Built-Up Stub Steel Column with Various Steel Grades under Concentric Loading

2015 ◽  
Vol 764-765 ◽  
pp. 127-131
Author(s):  
Yang Yang ◽  
Kang Min Lee ◽  
Keun Yeong Oh ◽  
Sung Bin Hong
Keyword(s):  
Tensile Strength ◽  
High Strength Steel ◽  
Local Stability ◽  
Experimental Studies ◽  
High Strength Steels ◽  
High Strength ◽  
Design Criteria ◽  
Stability Criteria ◽  
Steel Grades ◽  
Concentric Loading

The current local stability criteria (KBC2009, AISC2010) are enacted through theoretical and experimental studies of ordinary steels, but the mechanical properties of high strength steels are different from ordinary steels. The high strength steel in the applicability of design criteria should be needed to review because of increasing market demanding for high strength steel in the high-rise and long span buildings. In this study, stub columns of H-shaped and box section with various steel grades subjected to concentric loading were investigated, and these steels were checked to the applicability of current local stability criteria. The difference between the ordinary steel and high strength steel was compared. As a result of comparison with various steel grades, most specimens were satisfied with the design criteria, but some specimens with lower tensile strength were not reached the required strength. It is considered that the uncertainty of material was the higher when the tensile strength of material was the lower.

BIFURCATION ANALYSIS OF A DETRITUS-BASED ECOSYSTEM WITH TIME DELAY

2000 ◽  
Vol 08 (03) ◽  
pp. 255-261 ◽  
Author(s):  
DEBASIS MUKHERJEE ◽  
SANTANU RAY ◽  
DILIP KUMAR SINHA
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Bifurcation Analysis ◽  
Local Stability ◽  
Mangrove Ecosystem ◽  
Stability Criteria ◽  
Delay Effect

This article concentrates on the study of delay effect of a mangrove ecosystem of detritus, detritivores and predator of detritivores. Local stability criteria are derived in the absence of delays. Conditions are found out for which the system undergoes a Hopf bifurcation. Further conditions are derived for which there can be no change in stability.

scholarly journals Effect of randomly fluctuating environment on autotroph-herbivore model system

2004 ◽  
Vol 2004 (68) ◽  
pp. 3703-3716 ◽  
Author(s):  
Tapan Saha ◽  
Malay Bandyopadhyay
Keyword(s):  
Stochastic Stability ◽  
Local Stability ◽  
Model System ◽  
Stability Criteria ◽  
Environmental Fluctuation ◽  
Deterministic Analysis ◽  
Convergence Conditions ◽  
Stochastic Formulation ◽  
Bifurcation Behavior ◽  
Nonequilibrium Fluctuation

First we deal with a brief introduction of the autotroph-herbivore model system along with deterministic analysis of local stability, bifurcation behavior, and persistence of the populations. The second part consists of the stochastic formulation of the model system to incorporate the effect of environmental fluctuation and then analysis of nonequilibrium fluctuation. Stochastic stability criteria of the model system under the influence of random environmental fluctuation are obtained through the convergence conditions of second-order moments.

Hopf-bifurcation Limit Cycles of an Extended Rosenzweig-MacArthur Model

2016 ◽  
Vol 8 (3) ◽  
pp. 22
Author(s):  
Eno E. Joshua ◽  
Chinwendu E. Madubueze ◽  
Ekemini T. Akpan
Keyword(s):  
Hopf Bifurcation ◽  
Phase Space ◽  
Limit Cycles ◽  
Local Stability ◽  
Bifurcation Parameter ◽  
Stability Criteria

<p>In this paper, we formulated a new topologically equivalence dynamics of an Extended Rosenzweig-MacArthur Model. Also, we investigated the local stability criteria, and determine the existence of co-dimension-1 Hopf-bifurcation limit cycles as the bifurcation-parameter changes. We discussed the dynamical complexities of this model using numerical responses, solution curves and phase-space diagrams.</p>

scholarly journals Hopf-bifurcation Limit Cycles of an Extended Rosenzweig-MacArthur Model

2016 ◽  
Vol 8 (3) ◽  
pp. 22
Author(s):  
Enobong E. Joshua ◽  
Ekemini T. Akpan ◽  
Chinwendu E. Madubueze
Keyword(s):  
Hopf Bifurcation ◽  
Phase Space ◽  
Limit Cycles ◽  
Local Stability ◽  
Bifurcation Parameter ◽  
Stability Criteria

<p>In this paper, we formulated a new topologically equivalence dynamics of an Extended Rosenzweig-MacArthur Model. Also, we investigated the local stability criteria, and determine the existence of co-dimension-1 Hopf-bifurcation limit cycles as the bifurcation-parameter changes. We discussed the dynamical complexities of this model using numerical responses, solution curves and phase-space diagrams.</p>

scholarly journals D. Stability and Evolution

1985 ◽  
Vol 19 (1) ◽  
pp. 427-428
Keyword(s):  
Global Stability ◽  
Local Stability ◽  
Stability Criteria ◽  
Galactic Disks

The global stability of galactic disks against various kinds of instabilities and oscillations have been analyzed by Abramyan (32.151.085), Aoki (37.151.053), Caimmi and Dallaporta (32.151.012), Chalov (32.151.083), Durisen and Bacon (29.151. 059), Hachisu (32.151.047), Ishibashi and Ando (37.151.055), lye (37.151.028), lye, Ueda, Noguchi and Aoki (33.151.028, 1984), Morozov (29.151.047), Nishida, Yoshizawa, Watanabe and Inagaki (30.151.084), Nishimoto (33.151.095), Nuritdinov (29.151. 083), Tajima (29.151.095), Vandervoort and Welty (29.151.077), Vandervoort (31.151. 044, 32.151.022, 34.151.055), Watanabe, Inagaki, Nishida and Tanaka (30.151.083), Wiegandt (31.151.023, 31.151.024), and de Zeeuw, Franx, Meys, Brink and Habing (33. 151.053). Local stability criteria which take into account the multi-component nature of galactic disks have been developed by Abramyan (33.151.076), Balbus (33. 151.111), Churilov and Shukhman (29.151.048), Grishchuck and Zeldovich (29.151.082), Grivnev, Ivannikova and Maksumov (1984), Jog and Solomon (37.151.013, 37.151.014), Morozov (29.151.009), Ogorodnikov and Osipkov (1980), and Polyachenko and Fridman (29.151.011).

Numerical Analysis of the Age-Sex-Structured Population Dynamics Taking into Account Spatial Diffusion

2005 ◽  
Vol 10 (4) ◽  
pp. 365-381 ◽  
Author(s):  
Š. Repšys ◽  
V. Skakauskas
Keyword(s):  
Population Dynamics ◽  
Numerical Analysis ◽  
Population Model ◽  
Local Stability ◽  
Deterministic Model ◽  
Random Mating ◽  
Spatial Diffusion ◽  
Neumann Problems ◽  
Structured Population ◽  
Structured Population Dynamics

We present results of the numerical investigation of the homogenous Dirichlet and Neumann problems to an age-sex-structured population dynamics deterministic model taking into account random mating, female’s pregnancy, and spatial diffusion. We prove the existence of separable solutions to the non-dispersing population model and, by using the numerical experiment, corroborate their local stability.

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