Geodesic
Diffusion to infinity for periodic orbits in meromorphic dynamics
Janina Kotus1 ; Grzegorz Świątek2
1Department of Mathematics Warsaw University of Technology 00-661 Warszawa, Poland
2Department of Mathematics Penn State University University Park, PA 16802, U.S.A.
Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 263-269
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A small perturbation of a rational function causes only a small perturbation of its periodic orbits. We show that the situation is different for transcendental maps. Namely, orbits may escape to infinity under small perturbations of parameters. We show examples where this “diffusion to infinity” occurs and prove certain conditions under which it does not.
DOI : 10.4064/fm174-3-6
Keywords: small perturbation rational function causes only small perturbation its periodic orbits situation different transcendental maps namely orbits may escape infinity under small perturbations parameters examples where diffusion infinity occurs prove certain conditions under which does

Janina Kotus  1   ; Grzegorz Świątek  2

1 Department of Mathematics Warsaw University of Technology 00-661 Warszawa, Poland
2 Department of Mathematics Penn State University University Park, PA 16802, U.S.A. 
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Janina Kotus; Grzegorz Świątek. Diffusion to infinity for periodic orbits
 in meromorphic dynamics. Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 263-269. doi: 10.4064/fm174-3-6

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