Geodesic
Dynamics of linear operators connected with $\mathrm{su}(1,1)$ algebra
Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 66-70

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In the present work we consider a linear continuous operator in a separable Frechet space being one of the generators of Lie algebra $\mathrm{su}(1,1)$. We study the discrete-time dynamical system generated by iteration of this operator. We show that under some additional conditions the operator that generates the indicated dynamical system is frequently hypercyclic and chaotic (in the sense of Devaney). Applications of this result to a study of specific operators are indicated.
Keywords: frequently hypercyclic operator, Lie algebra. 
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V. E. Kim. Dynamics of linear operators connected with $\mathrm{su}(1,1)$ algebra. Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 66-70. http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a5/