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.

Format:

• Book

Contributor:

• Golubitsky, Martin, 1945- editor.
• Guckenheimer, John, editor.
• American Mathematical Society, issuing body.
• Institute of Mathematical Statistics, issuing body.
• Society for Industrial and Applied Mathematics, issuing body.

Series:

• Contemporary mathematics (American Mathematical Society) ; volume 56.
• Contemporary mathematics, 0271-4132 ; volume 56

Language:

English

Subjects (All):

• Bifurcation theory--Congresses.

Physical Description:

1 online resource (408 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1986]

Language Note:

English

Summary:

The 1985 AMS Summer Research Conference brought together mathematicians interested in multiparameter bifurcation with scientists working on fluid instabilities and chemical reactor dynamics. This work demonstrates the mutually beneficial interactions between the mathematical analysis, based on genericity, and experimental studies in these fields.

Contents:

• ""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""

Notes:

• Description based upon print version of record.
• Includes bibliographical references.
• Description based on print version record.

Other Format:

Print version: 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.

ISBN:

• 0-8218-7643-0
• 0-8218-5060-1