Bifurcation, Symmetry and Patterns (精装)

2003-11  

Birkhäuser Basel  

Buescu, Jorge/ Buescu, Jorge (EDT)/ Castro, Sofia/ Dias, Ana Paula/ Labouriau, Isabel S.  

209  

This book represents the latest developments on both the theory and applications of bifurcations with symmetry. It includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.

Foreword by the EditorsOrganizing CommitteeInvited SpeakersInvited LecturesIan Stewart，Toby Elmhirst，and Jack Cohen Symmetry—Breaking as an Origin of SpeciesMartin Golubitsky and David Chillingworth Bifurcation and Planar Pattern Formation for a Liquid CrystalPeter A shwin Patchwork Patterns：Dynamics Oil Unbounded DomainsMichaef Field Persistent Ergodicity and Stably Ergodic SIR.B Attractors in Equivariant DynamicsDan D.Rusu and William F.Langford Bistability of Vortex Modes in Annular ThermoconvectionA.M.Rucklidge，M.Silber,and J.Fineberg Secondary Instabilities of Hexagons：A Bifurcation Analysis of Experimentally Observed Faraday Wave Patterns-Contributed PapersArantxa Alons0，Marta Net and Juan Sdnchez Spatially Resonant Interactions in Annular ConvectionT.K.Callahan Hopf Bifurcations on Cubic LatticesGiampaolo Cicogna Normal Forms of Dynamical Systems and BifurcationsS.M.Coz and P.C.Matthews One—dimensional Pattern Formation in Systems with a Conserved QuantityO.Diekmann and S.A.Uan Gils Invariance and Symmetry in a Year—class ModelPaul Glendinning The Accumulation of Boundary Doubling for Modified Tent MapsArek Goetz and Miguel Mendes Piecewise Rotations：Bifurcations，Attractors and SymmetriesA.Bayliss，B.J。Matkowsky，A.P.Aldushin Bound States of Asymmetric Hot Spots in Solid Flame PropagationP.C.Matthews and S.M.Cox Pattern Formation with Galilean SymmetryMatthew Nicol，Nikita Sidorov and David Broomhead Semigroups of Functions and the Structure of Stationary Measures in Systems which Contract—on—averagedoana Pr8t，Isabel Mercader and Edgar Knobloch Rayleigh—B6nard Convection with Experimental Boundary Conditions.Adelina Georgescu，Carmen Rocqoreanu and Nicolaie Giurgiteanu Global Bifurcations in FitzHugh—Nagumo ModelList of ContributorsList of Participants

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