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- W2949257944 abstract "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 $1/l^{1+alpha}$ with fractional $alpha < 2$ and $l$ as a distance between oscillators. This model is called $alpha$DNLS. It exhibits competition between the nonlinearity and a level of correlation between interacting far-distanced oscillators, that is defined by the value of $alpha$. We consider transition to chaos in this system as a function of $alpha$ and nonlinearity. It is shown that decreasing of $alpha$ 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 $alpha$DNLS can be correspondingly extended to the FNLS." @default.
- W2949257944 created "2019-06-27" @default.
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- W2949257944 date "2006-07-14" @default.
- W2949257944 modified "2023-09-27" @default.
- W2949257944 title "Transition to Chaos in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction" @default.
- W2949257944 hasPublicationYear "2006" @default.
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