Includes bibliographies.

Phase-turbulence in convection near threshold / F. H. Busse -- Normal forms of bifurcating periodic orbits / Shui-Nee Chow and Duo Wang -- Quasiperiodic Patterns / P. Coullet, D. Repaux and J. M. Vanel -- Nilpotent normal forms and representation theory of ${\rm sl}(2,{\bf R})$ / Richard Cushman and Jan A. Sanders -- Steady-state mode interactions in the presence of ${\rm O}(2)$-symmetry and in nonflux boundary value problems / G. Dangelmayr and D. Armbruster -- Equivariant dynamics / M. J. Field -- New methods in the classification theory of bifurcation problems / Terence Gaffney -- Uniqueness of limit cycles in planar vector fields which leave the axes invariant / Stephan A. van Gils and Emil Horozov -- Hopf bifurcation with dihedral group symmetry: coupled nonlinear oscillators / Martin Golubitsky and Ian Stewart -- A codimension two bifurcation with circular symmetry / John Guckenheimer -- Local flows for functional-differential equations / Jack K. Hale -- On the degenerate Hopf bifurcation with ${\rm O}(2)$ symmetry / E. Knobloch -- Doubly diffusive waves / Edgar Knobloch, Anil E. Deane, Juri Toomre and Daniel R. Moore -- An example of symmetry breaking with submaximal isotropy subgroup / Reiner Lauterbach -- Codimension-three bifurcations arising in Langmuir circulations / Irene M. Moroz -- Symmetric Hopf bifurcations and magnetoconvection / Wayne Nagata -- Columnar convection in double-diffusive systems / M. R. E. Proctor -- Codimension two bifurcation in a convection experiment / Ingo Rehberg and Guenter Ahlers -- The Hopf bifurcation on a hexagonal lattice / Mark Roberts, James W. Swift and David H. Wagner -- Completely integrable Hamiltonian systems on semisimple Lie algebras / D. H. Sattinger -- Bifurcation without mixed mode solutions / Lawrence Turyn -- Hopf bifurcation at nonsemisimple eigenvalues / A. Vanderbauwhede -- Interaction of Azimuthal Modes in the Couette-Taylor Problem / Pascal Chossat -- Slowly Varying Bifurcation Parameters / T. Erneux and L. E. -- Applications of Singularity Theory of Explosion Theory / B. F. Gray -- Externally Modulated Convection Theory and Experiment / P. C. Hohenberg, G. Ahlers and M. L�ucke -- Equivariant Normal Forms for the Taylor-Couette Problem / W. F. Langford -- Development of Spatial and Temporal Complexity in Langmuir Circulation / S. Leibovich, S. K. Lele and I. M. Moroz -- Steady-State Multiplicity Features of Chemically Reacting Systems / Dan Luss -- Bibliographic notes on generic bifurcations in Hamiltonian systems / Kenneth R. Meyer -- Multicritical points in flow between independently rotating cylinders / Randall Tagg --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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