Multiparameter bifurcation theory : proceedings of the AMS-IMS-SIAM joint Summer Research Conference, held July 14-20, 1985, with support from the National Science Foundation / / Martin Golubitsky and John M. Guckenheimer, editors

• Record Nr.: UNINA9910480010303321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1986]; ©1986
• ISBN: 0-8218-7643-0; 0-8218-5060-1
• Descrizione fisica: 1 online resource (408 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; volume 56
• Disciplina: 515.3/52
• Soggetti: Bifurcation theory; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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)""; ""Steadyâ€?state mode interactions in the presence of 0(2)â€?symmetry and in nonâ€?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 Naimarkâ€?Sacker Bifurcations""; ""5. Global Theory of Equivariant Dynamical Systems""; ""(5.1) Stable manifold theory""; ""(5.2) Gâ€?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""; ""Codimensionâ€?three bifurcation arising in Langmuir circulations""; ""Symmetric Hopf bifurcations and magnetoconvection""; ""Columnar convection in doubleâ€?diffusive systems""""Codimension two bifurcation in a convection experiment""; ""The Hopf bifurcation on a hexagonal lattice""; ""Completely Integrable Hamiltonian systems on semiâ€?simple Lie algebras""; ""Bifurcation without mixed mode solutions""; ""Hopf bifurcation at nonâ€?semisimple elgenvalues""; ""Interaction of azimuthal modes in the Couetteâ€?Taylor problem""; ""Slowly varying bifurcation parameters""; ""Applications of singularity theory to explosion theory""; ""Externally modulated convection: Theory and experiment""; ""Equivariant normal forms for the Taylorâ€?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""