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Mesochronic classification of trajectories in incompressible 3D vector fields over finite times - MaRDI portal

Mesochronic classification of trajectories in incompressible 3D vector fields over finite times (Q317094)

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scientific article; zbMATH DE number 6631542
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English
Mesochronic classification of trajectories in incompressible 3D vector fields over finite times
scientific article; zbMATH DE number 6631542

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    Mesochronic classification of trajectories in incompressible 3D vector fields over finite times (English)
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    30 September 2016
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    Incompressible vector fields are studied in this work. The authors obtain a relevant classification of the initial conditions of orbits in such vector fields. In particular, a method to determine the number of expanding directions and the presence of rotation is presented. The results are supported by numerical examples.
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    nonautonomous dynamical system
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    finite-time dynamics
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    time averaging
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    hyperbolicity
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    volume-preserving flow
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