Transition to Chaos in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction
| dc.creator | Korabel, Nickolay | |
| dc.creator | Zaslavsky, George M. | |
| dc.date | 2006-07-14 | |
| dc.date | 2006-08-15 | |
| dc.date.accessioned | 2026-07-07T07:20:32Z | |
| dc.date.available | 2026-07-07T07:20:32Z | |
| dc.description | Discrete nonlinear Schrodinger equation (DNLS) describes a chain of oscillators with nearest neighbor interactions and a specific nonlinear term. We consider its modification with long-range interaction through a potential proportional to $1/l^{1+α}$ with fractional $α< 2$ and $l$ as a distance between oscillators. This model is called $α$DNLS. It exhibits competition between the nonlinearity and a level of correlation between interacting far-distanced oscillators, that is defined by the value of $α$. We consider transition to chaos in this system as a function of $α$ and nonlinearity. It is shown that decreasing of $α$ with respect to nonlinearity stabilize the system. Connection of the model to the fractional genezalization of the NLS (called FNLS) in the long-wave approximation is also discussed and some of the results obtained for $α$DNLS can be correspondingly extended to the FNLS. | |
| dc.description | 20 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0607030 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0607030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114985 | |
| dc.subject | Mathematical Physics | |
| dc.title | Transition to Chaos in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction | |
| dc.type | text |