Bifurcation without parameters

Bifurcation without parameters

by Liebscher, Stefan

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Title Statements

  • Full title :Bifurcation without parameters / Stefan Liebscher.

Edition Statements

  • Publication Date:©2015

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Cham
  • Language:eng
  • Publication Date:©2015

The Physical Object

  • Description:xii, 142 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:9783319107769, 3319107763
  • oclc:ocn897858095
  • LC Classification:QA380
  • Dewey Decimal:515.4

Table of Contents

Introduction -- Methods and concepts -- Cosymmetries -- Transcritical bifurcation -- Poincaré-Andronov-Hopf bifurcation -- Application: decoupling in networks -- Application: oscillatory profiles in systems of hyperbolic balance laws -- Degenerate transcritical bifurcation -- Degenerate Poincaré-Andronov-Hopf bifurcation -- Bogdanov-Takens bifurcation -- Zero-Hopf bifurcation -- Double-Hopf bifurcation -- Application: cosmological models of Bianchi type, the tumbling universe -- Application: fluid flow in a planar channel, spatial dynamics with reversible Bogdanov-Takens bifurcation -- Codimension-one manifolds of equilibria -- Summary and outlook.

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