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Friday, January 31, 2020 | History

6 edition of Singularities and Groups in Bifurcation Theory found in the catalog.

Singularities and Groups in Bifurcation Theory

Volume 1 (Applied Mathematical Sciences)

by Martin Golubitsky

  • 171 Want to read
  • 23 Currently reading

Published by Springer .
Written in English


The Physical Object
Number of Pages488
ID Numbers
Open LibraryOL7448273M
ISBN 100387909990
ISBN 109780387909998

The Monodromy Group and the Intersection Form. There are tons of applications, including such oddities as how fireflies synchronize their blinking, how lasers work, and using chaos to send coded messages. The Asymptotic Mixed Hodge Structure. My general impression is of a particularly nice book, with a well-balanced bibliography, recommended! In this volume our emphasis is on singularity theory, with group theory playing a subordinate role.

Symmetry of the Jacobian. Elimination of Singularities and Solution of Differential Conditions. Is is full of excellent examples and problems. Blue sky catastrophe in which a limit cycle collides with a nonhyperbolic cycle.

Hidden Symmetry in PDEs. The Monodromy Group of an Isolated Singularity. Parabolic Singularities. Relative Periodic Orbits. Tangential Singularities and Vanishing Inflexions.


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Singularities and Groups in Bifurcation Theory by Martin Golubitsky Download PDF Ebook

Simple Singularities and Weyl Groups. Multiple Points and Multisingularities.

Singularities and Groups in Bifurcation Theory

The Equivariant Moser-Weinstein Theorem. The Monodromy of a Morse Singularity. Hilbert Bases and Equivariant Mappings. Arrowsmith, C.

Lie Group Actions on Manifolds. Spatial Patterns. Isotypic Components. Synchrony of Chaotic Oscillations and Bubbling Bifurcations.

This is from the UK system and the style of writing may not be good for all. Thom's Theorem on the Existence of Thom Polynomials. Characteristic Classes of Milnor Cohomology Bundles. The Calculus of Tangential Singularities. General Comments on Stability of Equilibria.

Singularities of Caustics and Wave Fronts

An example of a well-studied codimension-two bifurcation is the Bogdanov—Takens bifurcation. Stable Equivalence. This [review] is far from complete and cannot reflect the authors' unique way of presenting examples, asking questions, giving answers or forming an intuition.

Differential Equations and Asymptotics of Integrals. The Faraday Experiment Revisited.Oct 01,  · Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied.

The nature of these changes depends both on the number of Singularities and Groups in Bifurcation Theory book and on the symmetries of the equations.

Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems.

Nov 30,  · Singularities of Caustics and Wave Fronts by Vladimir Arnold, singularities bifurcation theory or just in applications of global analysis may find this as one of the few `must have' books.' We're featuring millions of their reader ratings on our book pages to help you find your new favourite book.5/5(1).

A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic Author: David Mond.It has many pdf in one, two pdf three) dimensions and was written with lower formalism and is very accessible.

Hale is also one of the authors of Methods of Bifurcation Theory (Grundlehren der mathematischen Wissenschaften) (v. ), by S.-N. Chow, J. K. Hale, which is a comprehensive book on graduate level bifurcation theory.Concerning our title, Singularities and Groups in Bifurcation Theory, it should be mentioned that the present text is the first volume in a two-volume sequence.This volume focuses on bifurcation problems with symmetry and shows how group-theoretic ebook aid the understanding of transitions in symmetric systems.

Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Author: Martin Golubitsky.