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" Dynamics, Bifurcation and Symmetry : "
edited by Pascal Chossat.
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BL
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| Record Number
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775687
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b595683
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| Main Entry
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edited by Pascal Chossat.
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| Title & Author
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Dynamics, Bifurcation and Symmetry : : New Trends and New Tools\ edited by Pascal Chossat.
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| Publication Statement
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Dordrecht : Springer Netherlands, 1994
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| Series Statement
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NATO ASI Series, Series C: Mathematical and Physicsal Sciences,, 437.
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(372 pages)
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| ISBN
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9401044139
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: 9401109567
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: 9789401044134
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: 9789401109567
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| Contents
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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.
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| Abstract
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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. <br/> For graduate and postgraduate students of nonlinear applied mathematics, as well as any scientist or engineer interested in pattern formation and nonlinear instabilities. <br/>
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| Subject
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Bifurcation theory -- Congresses.
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Dynamics -- Congresses.
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Symmetry (Physics) -- Congresses.
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| LC Classification
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QC20.7.B54E358 1994
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| Added Entry
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Pascal Chossat
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