Influence of the initial conditions on the dynamics of nonlinear systems |
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| Authors: | A R Karimov V A Shcheglov |
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| Institution: | (1) Institute of High Temperatures, Russian Academy of Sciences, Izhorskaya Ul. 13/19, 127412 Moscow, Russia;(2) P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Pr. 53, 117924 Moscow, Russia |
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| Abstract: | The nonlinear dynamics of nondissipative systems of hydrodynamic type that are subjected to small, albeit finite, perturbations in the initial conditions is considered. The behavior of these systems is determined by equations of low-energy hydrodynamics with the potential obeying the Poisson equation. The relation of the hydrodynamic system under study to systems whose dynamics is determined by the Schrödinger equation and the wave equation is discussed. |
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