# Article

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Keywords:
semispray; connection; path; torsion; tension; spray; homogeneous dynamical connection
Summary:
The homogeneity properties of two different families of geometric objects playing a crutial role in the non-autonomous first-order dynamics - semisprays and dynamical connections on $R\times TM$ - are studied. A natural correspondence between sprays and a special class of homogeneous connections is presented.
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