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2013
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# Kai Cieliebak

## Publications:

 Cieliebak K., Eliashberg Y., Polterovich L. Contact Orderability up to Conjugation 2017, vol. 22, no. 6, pp.  585–602 Abstract We study in this paper the remnants of the contact partial order on the orbits of the adjoint action of contactomorphism groups on their Lie algebras. Our main interest is a class of noncompact contact manifolds, called convex at infinity. Keywords: contactomorphism group, partial order, nonsqueezing Citation: Cieliebak K., Eliashberg Y., Polterovich L.,  Contact Orderability up to Conjugation, Regular and Chaotic Dynamics, 2017, vol. 22, no. 6, pp. 585–602 DOI:10.1134/S1560354717060028
 Cieliebak K., Frauenfelder U., van Koert O. Periodic Orbits in the Restricted Three-body Problem and Arnold’s $J^+$ -invariant 2017, vol. 22, no. 4, pp.  408-434 Abstract We apply Arnold’s theory of generic smooth plane curves to Stark – Zeeman systems. This is a class of Hamiltonian dynamical systems that describes the dynamics of an electron in an external electric and magnetic field, and includes many systems from celestial mechanics. Based on Arnold’s $J^+$-invariant, we introduce invariants of periodic orbits in planar Stark – Zeeman systems and study their behavior. Keywords: generic immersions into the plane, Arnold’s plane curve invariants, restricted threebody problem Citation: Cieliebak K., Frauenfelder U., van Koert O.,  Periodic Orbits in the Restricted Three-body Problem and Arnold’s $J^+$ -invariant, Regular and Chaotic Dynamics, 2017, vol. 22, no. 4, pp. 408-434 DOI:10.1134/S1560354717040050