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The objective of this work is to study the dynamics of inertial particles in chaotic flows with tools that have been used in the last years for the analysis of conservative systems. As a first approach, we use the technique of the FSLE, leaking etc., which have turned to be a very useful to detect the stable and unstable manifolds of chaotic flows. In our study we compute trajectories of inertial particles in a kinematic flow model, but the real interest is focussed in future applications to more realistic flows. The dynamics of inertial particles is dissipative, thus it is possible the existence of a chaotic attractor depending on the parameters of the system (Stokes and R) as it is well-known from many recent studies. In this work we study how the results of methods used formerly only for conservative systems changes for different R and Stokes parameters and what is the effect of an existing attractor on these results. |
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