Titlebook: Singularity Theory and its Applications; Warwick 1989, Part I Mark Roberts,Ian Stewart Conference proceedings 1991 Springer-Verlag Berlin H

Harding

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Conference proceedings 1991 applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory and applications in the sciences. The papers are original research, stimulated by the symposium and workshop: All

小畫像

Equivariant bifurcations and morsifications for finite groups,order elements of G). These formulas are in terms of the representations of G on certain finite dimensional algebras associated to F. We deduce sufficient conditions for the existence of submaximal orbits by comparing the permutation representations for maximal orbits with certain representations of G.

卷發(fā)

獨(dú)白

0075-8434 kshop: All have been refereed and none will appear elsewhere. The main topic of volume II is new methods for the study of bifurcations in nonlinear dynamical systems, and applications of these.978-3-540-53736-6978-3-540-47047-2Series ISSN 0075-8434 Series E-ISSN 1617-9692

Lime石灰

Boundary conditions as symmetry constraints,ure imposes upon bifurcations. We discuss a number of examples of these phenomena that arise in applications, including the Taylor-Couette experiment, Rayleigh-Bénard convection, and the Faraday experiment.

神圣將軍

Scaling Laws and Bifurcation,h scaling laws based on the symmetry of the problem and show how bifurcation points can also be related by a scaling. This leads in some cases, to a proof of existence of bifurcating branches at a mode interaction. The results are illustrated for the Kuramoto-Sivashinsky equation.

顛簸下上

On the bifurcations of subharmonics in reversible systems,cantly. We investigate some unusual properties of those equations. In particular we classify up to topological codimension 1 the degenerate bifurcations when the dimension of the space is odd and the signature of the involution is +1.

CARK

Some complex differential equations arising in telecommunications,techniques. We find that Hopf bifurcations are possible, but the limit cycles exist only at bifurcation. Actual data is used in numerical integrations. When parameters are chosen which are appropriate to the telecommunications context, all fixed points are stable and no Hopf bifurcations occur.

palliative-care

Conference proceedings 1991l systems theory, bifurcation theory and applications in the sciences. The papers are original research, stimulated by the symposium and workshop: All have been refereed and none will appear elsewhere. The main topic of volume II is new methods for the study of bifurcations in nonlinear dynamical systems, and applications of these.