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Numerical Studies of Torus Bifurcations

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Numerical Methods for Bifurcation Problems

Abstract

The normal form equations for the interactions of a Hopf bifurcation and a hysteresis bifurcation of stationary states can give rise to an axisym-metric attracting invariant torus. NonaxiSymmetrie perturbations are found to produce phase locking, period doubling, bistability, and a family of stränge attractors.

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© 1984 Springer Basel AG

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Langford, W.F. (1984). Numerical Studies of Torus Bifurcations. In: Küpper, T., Mittelmann, H.D., Weber, H. (eds) Numerical Methods for Bifurcation Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6256-1_19

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  • DOI: https://doi.org/10.1007/978-3-0348-6256-1_19

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6257-8

  • Online ISBN: 978-3-0348-6256-1

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