عنوان

Dynamics, Bifurcation and Symmetry :

(Number (ISBN

9401044139

(Number (ISBN

9401109567

(Number (ISBN

9789401044134

(Number (ISBN

9789401109567

Number

b595683

Title Proper

Dynamics, Bifurcation and Symmetry :

General Material Designation

[Book]

Other Title Information

New Trends and New Tools

First Statement of Responsibility

edited by Pascal Chossat.

Place of Publication, Distribution, etc.

Dordrecht

Name of Publisher, Distributor, etc.

Springer Netherlands

Date of Publication, Distribution, etc.

1994

Specific Material Designation and Extent of Item

(372 pages)

Series Title

NATO ASI Series, Series C: Mathematical and Physicsal Sciences,, 437.

Text of Note

A spatial center manifold approach to a hydrodynamical problem with O(2) symmetry.- Analysing bifurcations in the Kolmogorov flow equations.- Oscillator networks with the symmetry of the unit quaternion group.- An investigation of a mode interaction involving period-doubling and symmetry-breaking bifurcations.- Sets, lines and adding machines.- Mixed-mode solutions in mode interaction problems with symmetry.- A classification of 2-modes interactions with SO(3) symmetry and applications.- Non linear parabolic evolutions in unbounded domains.- Eigenvalue, movement for a class of reversible Hamiltonian systems with three degrees of freedom.- Blowing-up in equivariant bifurcation theory.- A remark on the detection of symmetry of attractors.- Coupled cells: wreath products and direct products.- Hopf bifurcations on generalized rectangles with Neumann boundary conditions.- The role of geometry in computational dynamics.- Hopf bifurcation at k-fold resonances in equivariant reversible systems.- Symmetries and reversing symmetries in kicked systems.- Exclusion of relative equilibria.- Bifurcation of periodic orbits in 1:2 resonance: a singularity theory approach.- Hamiltonian structure of the reversible nonsemisimple 1:1 resonance.- Instantaneous symmetry and symmetry on average in the Couette-Taylor and Faraday experiments.- The path formulation of bifurcation theory.- Codimension two local analysis of spherical Benard convection.- A geometric Hamiltonian approach to the affine rigid body.- A note on discontinuous vector fields and reversible mappings.- Bifurcation of singularities near reversible systems.- On a new phenomenon in bifurcations of periodic orbits.- An inhomogeneous Picard-Fuchs equation.- Hopf bifurcation in symmetrically coupled lasers.

Text of Note

This book contains a collection of 28 contributions on the topics of bifurcation theory and dynamical systems, mostly from the point of view of symmetry breaking, which has been revealed to be a powerful tool in the understanding of pattern formation and in the scientific application of these theories. It includes a number of results which have not been previously made available in book form. Computational aspects of these theories are also considered.
For graduate and postgraduate students of nonlinear applied mathematics, as well as any scientist or engineer interested in pattern formation and nonlinear instabilities.

Bifurcation theory -- Congresses.

Dynamics -- Congresses.

Symmetry (Physics) -- Congresses.

Class number

Book number

edited by Pascal Chossat.

Pascal Chossat

Electronic name

[Book]

Y