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The Hopf Bifurcation Theorem in ℝ2 and in ℝn

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The Hopf Bifurcation and Its Applications

Part of the book series: Applied Mathematical Sciences ((AMS,volume 19))

Abstract

The center manifold theorem is used to reduce bifurcation problems to finite dimensional ones as follows.

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© 1976 Springer-Verlag New York Inc.

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Marsden, J.E., McCracken, M. (1976). The Hopf Bifurcation Theorem in ℝ2 and in ℝn. In: The Hopf Bifurcation and Its Applications. Applied Mathematical Sciences, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6374-6_5

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  • DOI: https://doi.org/10.1007/978-1-4612-6374-6_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90200-5

  • Online ISBN: 978-1-4612-6374-6

  • eBook Packages: Springer Book Archive

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