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math-ph2007★ 67 cited
Conservation Laws and Hamilton's Equations for Systems with Long-Range Interaction and Memory
Vasily E. Tarasov, George M. Zaslavsky
Using the fact that extremum of variation of generalized action can lead to the fractional dynamics in the case of systems with long-range interaction and long-term memory function…
math-ph2006
Transition to Chaos in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction
Nickolay Korabel, George M. Zaslavsky
Discrete nonlinear Schrodinger equation (DNLS) describes a chain of oscillators with nearest neighbor interactions and a specific nonlinear term. We consider its modification with…