Results 271 to 280 of about 163,781 (311)

Periodically Perturbed Bifurcation. II. Hopf Bifurcation

Studies in Applied Mathematics, 1981
We consider the effect of a periodic perturbation on the bifurcation behavior of a system of differential equations. It is shown that periodic solutions are, in general, modified into quasiperiodic solutions. Different phenomena are encountered in resonance and near‐resonance conditions, leading in some cases to separation of solution branches and in ...
Rosenblat, S., Cohen, Donald S.
openaire   +3 more sources

Control of the Hopf bifurcation in the Takens-Bogdanov bifurcation

2008 47th IEEE Conference on Decision and Control, 2008
It is a well-known result that in a versal deformation of the Takens-Bogdanov bifurcation is possible to find dynamical systems that undergo saddle-node, homoclinic and Hopf bifurcations. In this document a nonlinear control system in the plane is considered, whose nominal vector field undergoes the Takens-Bogdanov bifurcation, and then the idea is to ...
Francisco Armando Carrillo Navarro, Fernando Verduzco Gonzalez   +1 more
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To Bifurcate or Not To Bifurcate? That is the (Ambiguous) Question

Arbitration International, 2013
Commentators and practitioners hold different views about ‘bifurcation’, i.e. the procedural technique of splitting the arbitral proceedings in distinct phases with a view of reaching decisions on discrete matters. The discussion mostly focuses on whether bifurcation is a source of efficiency or rather of useless additional costs and delays.
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THE CUSP–HOPF BIFURCATION

International Journal of Bifurcation and Chaos, 2007
The coalescence of a Hopf bifurcation with a codimension-two cusp bifurcation of equilibrium points yields a codimension-three bifurcation with rich dynamic behavior. This paper presents a comprehensive study of this cusp-Hopf bifurcation on the three-dimensional center manifold.
John Harlim, William F. Langford
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Bifurcations and manifolds

1999
Abstract The solutions are real for λ 3 and λ 1, and complex for 3 < λ < 1. The graphs of Re(m1) and Re(m2) against λ are shown in Figure 12.1. Noting the signs of m1 and m2, we can observe that the equilibrium point at the origin is: A bifurcation occurs at the parametric value λ 1 where, as λ increases, the equilibrium ...
D W Jordan, P Smith
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Border-collision bifurcations: An explanation for observed bifurcation phenomena

Physical Review E, 1994
Recently physical and computer experiments involving systems describable by continuous maps that are nondifferentiable on some surface in phase space have revealed novel bifurcation phenomena. These phenomena are part of a rich new class of bifurcations which we call border-collision bifurcations.
Nusse, Helena E., Ott, E., Yorke, James A.   +2 more
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Infinite Period Bifurcation and Global Bifurcation Branches

SIAM Journal on Applied Mathematics, 1981
Branches of periodic solutions which exhibit the alternatives of the global Hopf bifurcation theorem are calculated for two general systems of differential equations.
openaire   +1 more source

Bifurcation of Elastic Multilayers

2013
The occurrence of a bifurcation in a multilayer structure during loading sets a limit on its deformability, and therefore represents an important factor in the design of composites. Since bifurcationis strongly influenced by the contact conditions at the interfaces between the layers, the mechanical modeling of these conditions is crucial.
Bigoni, Davide, Gei, Massimiliano, Roccabianca, Sara   +2 more
openaire   +4 more sources

Singularities, bifurcations, and catastrophes

Soviet Physics Uspekhi, 1983
See the review in Zbl 0643.58013.
openaire   +3 more sources

Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model

Chaos, Solitons and Fractals, 2021
Houjun Liang, Qizhi He
exaly