On the stability of the solutions of the general problem of three bodies

1976 ◽  
Vol 14 (4) ◽  
pp. 493-498 ◽  
Author(s):  
E. Myles Standish
Keyword(s):  
General Problem ◽  
The Stability

Parallel Columns With Common Lateral Supports

1945 ◽  
Vol 12 (4) ◽  
pp. A253-A256
Author(s):  
H. L. Langhaar
Keyword(s):  
General Problem ◽  
Correlation Effects ◽  
Aircraft Structures ◽  
Single Column ◽  
The Stability ◽  
Stress Analyses

Abstract Problems in the stress analyses of semimonocoque aircraft structures have suggested the investigation of the stability of a system of closely spaced, equally stressed, parallel columns with lateral bulkhead supports. The theory presented in this paper establishes a correlation between this problem and the problem of stability of a single column with lateral spring supports. Since the theory for the latter case has been developed by several authors, the correlation effects a solution of the more general problem.

The general problem of the stability of motion

Automatica ◽  
1995 ◽  
Vol 31 (2) ◽  
pp. 353-354 ◽  
Author(s):  
Malcolm C. Smith
Keyword(s):  
General Problem ◽  
Stability Of Motion ◽  
The Stability

scholarly journals The General Problem of the Stability of Motion

1994 ◽  
Vol 61 (1) ◽  
pp. 226-227 ◽  
Author(s):  
A. M. Lyapunov ◽  
J. A. Walker
Keyword(s):  
General Problem ◽  
Stability Of Motion ◽  
The Stability

scholarly journals Hybrids derived from the viruses of variola major and cowpox

1964 ◽  
Vol 62 (2) ◽  
pp. 147-158 ◽  
Author(s):  
H. S. Bedson ◽  
K. R. Dumbell
Keyword(s):  
Chick Embryo ◽  
General Problem ◽  
Good Evidence ◽  
Plaque Formation ◽  
The Other ◽  
Mixed Infections ◽  
Cowpox Virus ◽  
Ceiling Temperature ◽  
The Stability

The characterization of 16 clones of virus derived from mixed infections with variola major and cowpox has been described. This work has involved the description of the plaques produced by variola major in chick embryo monolayers, and a more detailed study of the effects of raised temperature on pock production by pox viruses on the C.A.M.Two of the variola major—cowpox clones were found to correspond to cowpox virus, while the other 14 shared various combinations of parental characters. Among them there were 10 distinct new types of virus. Evidence of the stability of these viruses has been presented.Analysis of the combination of characters encountered among the hybrids has given good evidence that all the eight marker characters used segregate independently. A particular instance of this was the character of chick embryo virulence which, among the hybrid viruses, was shown to be unrelated either to ceiling temperature or speed of plaque formation.The significance of these findings in relation to the general problem of virulence has been briefly discussed. The possibility that vaccinia may have originated as a hybrid of variola and cowpox has lso been considered.

STABILITY CONJECTURE IN THE THEORY OF TENSEGRITY STRUCTURES

2003 ◽  
Vol 03 (01) ◽  
pp. 1-16 ◽  
Author(s):  
K. Y. VOLOKH
Keyword(s):  
General Problem ◽  
Tensegrity Structures ◽  
Stability Conjecture ◽  
The Stability

The general problem of the stability of tensegrity structures comprising struts and cables is formulated. It is conjectured that any tensegrity system with totally tensioned cables is stable independently of its topology, geometry and specific magnitudes of member forces.

On the Elastic Stability of a Rectangular Plate, when Subjected to a Variable Edge Thrust

1935 ◽  
Vol 31 (3) ◽  
pp. 368-381 ◽  
Author(s):  
D. M. A. Leggett
Keyword(s):  
Boundary Conditions ◽  
Approximate Method ◽  
Rectangular Plate ◽  
General Problem ◽  
Elastic Stability ◽  
Detailed Consideration ◽  
Various Boundary Conditions ◽  
The Stability

The stability of a rectangular plate, subjected to constant thrust over opposite pairs of edges, has been treated with some degree of completeness for various boundary conditions. The more general problem, in which the thrusts are no longer constant, has not yet received any treatment apart from the approximate method developed by E. Schwerin†, which would appear to be capable of only limited extension. The object of this paper is accordingly the detailed consideration of a simple case when the thrust is no longer constant.

scholarly journals A nonlinear difference equation with two parameters

1985 ◽  
Vol 26 (4) ◽  
pp. 430-451 ◽  
Author(s):  
A. Brown
Keyword(s):  
Difference Equation ◽  
General Problem ◽  
Iteration Process ◽  
Nonlinear Difference Equation ◽  
Cubic Equation ◽  
The Difference ◽  
The Stability ◽  
Image Position ◽  
Two Parameters ◽  
Parameter Problem

AbstractThe paper is mainly concerned with the difference equationwhere k and m are parameters, with k > 0. This equation arises from a method proposed for solving a cubic equation by iteration and represents a standardised form of the general problem. In using the above equation it is essential to know when the iteration process converges and this is discussed by means of the usual stability criterion. Critical values are obtained for the occurrence of solutions with period two and period three and the stability of these solutions is also examined. This was done by considering the changes as k increases, for a give value of m, which makes it effectively a one-parameter problem, and it turns out that the change with k can differ strongly from the usual behaviour for a one-parameter difference equation. For m = 2, for example it appears that the usual picture of stable 2-cycle solutions giving way to stable 4-cycle solutions is valid for smaller values of k but the situation is recersed for larger values of k where stable 4-cycle solutions precede stable 2-cycle solutions. Similar anomalies arise for the 3-cycle solutions.

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