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Siam Review | 1975

Multiple Eigenvalues Lead to Secondary Bifurcation

Louis Bauer; Herbert B. Keller; Edward L. Reiss

Bifurcation problems are considered where the primary bifurcation points are functions of a parameter


Journal of The Society for Industrial and Applied Mathematics | 1965

NONLINEAR BUCKLING OF RECTANGULAR PLATES

Louis Bauer; Edward L. Reiss

\tau


Mathematics of Computation | 1972

Block Five Diagonal Matrices and the Fast Numerical Solution of the Biharmonic Equation

Louis Bauer; Edward L. Reiss

. It is shown that a multiple bifurcation point, which occurs for


Journal of the Acoustical Society of America | 1973

Free vibrations of rhombic plates and membranes

Louis Bauer; Edward L. Reiss

\tau = \tau _0


Siam Journal on Applied Mathematics | 1978

Cutoff Wavenumbers and Modes of Hexagonal Waveguides

Louis Bauer; Edward L. Reiss

, may “split” into two (or more) simple primary bifurcation points and several secondary bifurcation points as


Journal of the Acoustical Society of America | 1973

Flexural vibrations of clamped orthotropic plates

Louis Bauer; Edward L. Reiss

\tau


Archive | 1976

NUMERICAL BIFURCATION AND SECONDARY BIFURCATION: A CASE HISTORY**This research was supported by the National Science Foundation under Grant GP-27223 and the Office of Naval Research under Contract N00014-67-A-0467-0006. The computations were performed at the ERDA Computing and Applied Mathematics Center of the Courant Institute of Mathematical Sciences.

Louis Bauer; Edward L. Reiss

varies from


Communications on Pure and Applied Mathematics | 1970

Axisymmetric buckling of hollow spheres and hemispheres

Louis Bauer; Edward L. Reiss; Herbert B. Keller

\tau _0


Journal of Applied Mechanics | 1965

Bending of Rectangular Plates With Finite Deflections

Frances Bauer; Louis Bauer; William Becker; Edward L. Reiss

. These secondary points move along one or more of the primary branches as


Numerical Solution of Partial Differential Equations–III#R##N#Proceedings of the Third Symposium on the Numerical Solution of Partial Differential Equations, SYNSPADE 1975, Held at the University of Maryland, College Park, Maryland, May 19–24, 1975: SYNSPADE 1975 | 1976

NUMERICAL BIFURCATION AND SECONDARY BIFURCATION: A CASE HISTORY*

Louis Bauer; Edward L. Reiss

\tau

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