Affiliation:
1. Institute of Theoretical Physics, University of Wrocław pl. Maxa Borna 9, 50-206 Wrocław, Poland
Abstract
In this paper, we provide the Henon–Heiles system defined on Lie-algebraically deformed non-relativistic spacetime with the commutator of two spatial directions proportional to time. Particularly, we demonstrate that in such a model the total energy is not conserved and for this reason the role of control parameter is taken by the initial energy value [Formula: see text]. Besides, we show that in contrast with the commutative case, for chosen values of deformation parameter [Formula: see text], there appears chaos in the system for initial total energies [Formula: see text] below the threshold [Formula: see text].
Publisher
World Scientific Pub Co Pte Lt
Subject
General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献