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Methods in Equivariant Bifurcations and Dynamical Systems (Advanced Series in Nonlinear Dynamics)
 
 
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Methods in Equivariant Bifurcations and Dynamical Systems (Advanced Series in Nonlinear Dynamics) [Hardcover]

Pascal Chossat (Author), Reiner Lauterbach (Author)

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Book Description

February 28, 2000 9810238282 978-9810238285
This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably over the past twenty years and has been very successful in analysing and predicting pattern formation and other critical phenomena in most areas of science where nonlinear models are involved, like fluid flow instabilities, chemical waves, elasticity and population dynamics.

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Inside This Book (learn more)
First Sentence:
Local bifurcation theory for PDE's was developed in the early sixties in order to analyze hydrodynamical instabilities on a rigorous mathematical basis. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
equivariant branching lemma, homoclinic cycle, forced symmetry breaking, relative periodic orbits, isotropy types, projected vector field, transverse bifurcation, relative equilibria, equivariant bifurcation theory, heteroclinic cycle, invariant sphere, principal stratum, resonant bifurcation, maximal isotropy, equivariant systems, bifurcation equation, equivariant structure, fixed point subspace, normal hyperbolicity, branching lemmas, complex irreducible representations, equivariant vector fields, absolutely irreducible representation, bifurcating solutions, center manifold reduction
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