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Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist

In: Geometry in History

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  • Alain Chenciner

    (Observatoire de Paris, IMCCE (UMR 8028), ASD
    Université Paris VII, Département de mathématique)

Abstract

In generic two-parameter families of local diffeomorphisms of the plane unfolding a local diffeomorphism with an elliptic fixed point, the tension between radial (hyperbolic) and tangential (elliptic) behaviour gives rise to phenomena where the whole wealth of the area preserving case is unfolded along some direction of the parameter space.

Suggested Citation

  • Alain Chenciner, 2019. "Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist," Springer Books, in: S. G. Dani & Athanase Papadopoulos (ed.), Geometry in History, chapter 0, pages 451-468, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-13609-3_11
    DOI: 10.1007/978-3-030-13609-3_11
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