AbstractWe examine the possible types of generic bifurcation than can occur for a three-parameter family of mappings from a Banach space into itself. Specifically, the general form of the bifurcation equations arising from the von Kármán equations for the buckling of a rectangular plate is investigated. Chow, Hale, and Mallet-Paret (Applications of generic bifurcation. II, Arch. Rational Mech. Anal.67 (1976)) studied the bifurcation of solutions to these equations in a two-parameter setting. These parameters were related to the normal loading and to the compressive thrust applied at the ends of the plate. We introduce a third bifurcation parameter by considering the length of the plate as variable. The generic hypotheses of Chow et al. no l...
Many problems in pure and applied mathematics entail studying the structure of solutions to F(x; y) ...
summary:In this paper the author studies existence and bifurcation of a nonlinear homogeneous Volter...
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.Th...
AbstractWe examine the possible types of generic bifurcation than can occur for a three-parameter fa...
AbstractWe consider the buckling of a rectangular plate subject to a compressive thrust and a normal...
The theory of bifurcation from equilibria based on center-manifold reductio, and Poincare-Birkhoff n...
AbstractWe investigate bifurcation scenario of the von Kármán equations with partially clamped bound...
This thesis contains the classification of two-parameter bifurcations up to codimension three, using...
We consider two-parameter bifurcation of equilibrium states of an elastic rod on a deformable founda...
AbstractIt has been indicated by Bauer et al. and Golubitsky et al. that modejumping ...
summary:The paper deals with the analysis of generalized von Kármán equations which describe stabili...
The geometry of generic $k$-parameter bifurcation from an $n$-manifold is discussed for all values o...
AbstractWe study the bifurcation diagram of the family ẋ = y ẏ = x2 + λ0 + λ1 y + λ2xy + λ3x3y + ·...
In this work, we study bifurcation in the von Kármán equations for a thin circular elastic plate w...
We study numerical approximations of bifurcating solution curves of the von Karman equations with si...
Many problems in pure and applied mathematics entail studying the structure of solutions to F(x; y) ...
summary:In this paper the author studies existence and bifurcation of a nonlinear homogeneous Volter...
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.Th...
AbstractWe examine the possible types of generic bifurcation than can occur for a three-parameter fa...
AbstractWe consider the buckling of a rectangular plate subject to a compressive thrust and a normal...
The theory of bifurcation from equilibria based on center-manifold reductio, and Poincare-Birkhoff n...
AbstractWe investigate bifurcation scenario of the von Kármán equations with partially clamped bound...
This thesis contains the classification of two-parameter bifurcations up to codimension three, using...
We consider two-parameter bifurcation of equilibrium states of an elastic rod on a deformable founda...
AbstractIt has been indicated by Bauer et al. and Golubitsky et al. that modejumping ...
summary:The paper deals with the analysis of generalized von Kármán equations which describe stabili...
The geometry of generic $k$-parameter bifurcation from an $n$-manifold is discussed for all values o...
AbstractWe study the bifurcation diagram of the family ẋ = y ẏ = x2 + λ0 + λ1 y + λ2xy + λ3x3y + ·...
In this work, we study bifurcation in the von Kármán equations for a thin circular elastic plate w...
We study numerical approximations of bifurcating solution curves of the von Karman equations with si...
Many problems in pure and applied mathematics entail studying the structure of solutions to F(x; y) ...
summary:In this paper the author studies existence and bifurcation of a nonlinear homogeneous Volter...
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.Th...