| Name |
Vassilis Koukouloyannis |
| Country |
Greece |
| Email |
vkouk@physics.auth.gr |
| Co-Author(s) |
P.G. Kevrekidis, N. Kyriakopoulos, G. Voyatzis, Ch. Skokos and H. Varvoglis |
| Submit Time |
2014-03-23 19:05:54 |
Session |
Special Session 110: Nonlinear Schrodinger equations and its applications
|
|
| Contents |
| A system of three vortices with alternating charges in a con nfined Bose-Einstein condensate is studied. The vortices are considered as quasi-particles and their motion is described by a three-degrees of freedom Hamiltonian.
This system possesses two integrals of motion, the energy (which is expressed through the Hamiltonian $H$) and the so-called angular momentum $L$ of the system. We use the second of the integrals in order to reduce the system to a two-degrees of freedom one with $L$ as a parameter. This way, we can produce Poincar\'e sections and calculate the corresponding scan maps by using the chaoticity index SALI as the primary tool of investigation.
This way we study the general dynamical behavior of the system from completely regular to progressively chaotic one and acquire the percentages of the chaotic orbits for a wide range of values of $h$ and $L$. |
|