Multiparameter Bifurcation Theory.

Intro -- Table of Contents -- Preface -- Invited Lectures -- Conference Participants -- Phase-turbulence in convection near threshold -- Normal forms or bifurcating periodic orbits -- Quasiperiodic patterns -- Nilpotent normal forms and representation theory or Sl(2,R) -- Steady-state mode interactions in the presence of 0(2)-symmetry and in non-flux boundary value problems -- Equivariant dynamics -- 1. Introduction and Acknowledgements -- 2. Basic Techniques and Notations -- 3. Local Theory of Equivariant Dynamical Systems -- (3.1) Discrete equivariant dynamical systems -- (3.2) Equivariant vector fields -- 4. Some Examples of Equivariant Naimark-Sacker Bifurcations -- 5. Global Theory of Equivariant Dynamical Systems -- (5.1) Stable manifold theory -- (5.2) G-transversality theory -- 6. Universal Unfoldings of Discrete Equivariant Dynamical Systems -- (6.1) Moduli of stability -- (6.2) Universal unfoldings of discrete dynamical systems -- (6.3) Universal unfoldings of discrete equivariant dynamical systems -- Some new methods in the classification theory of bifurcation problems -- Uniqueness of limit cycles in planar vector fields which leave the axes invariant -- Hopf bifurcation with dihedral group symmetry: Coupled nonlinear oscillators -- A codimension two bifurcation with circular symmetry -- Local flows for functional differential equations -- On the degenerate hopf bifurcation with 0(2) symmetry -- Doubly diffusive waves -- An example or symmetry breaking with submaximal isotropy subgroup -- Codimension-three bifurcation arising in Langmuir circulations -- Symmetric Hopf bifurcations and magnetoconvection -- Columnar convection in double-diffusive systems -- Codimension two bifurcation in a convection experiment -- The Hopf bifurcation on a hexagonal lattice -- Completely Integrable Hamiltonian systems on semi-simple Lie algebras.

Bifurcation without mixed mode solutions -- Hopf bifurcation at non-semisimple elgenvalues -- Interaction of azimuthal modes in the Couette-Taylor problem -- Slowly varying bifurcation parameters -- Applications of singularity theory to explosion theory -- Externally modulated convection: Theory and experiment -- Equivariant normal forms for the Taylor-Couette problem -- Development of spatial and temporal complexity in Langmuir circulation -- Steady-state multiplicity features of chemically reacting systems -- Bibliographical notes on generic bifurcations in Hamiltonian systems -- Multicritical points in flow between independently rotating cylinders.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.