Abstract
Systems of ODEs are examined from the geometric point of view. The differential-operator representation of vector fields is introduced and the concept of the Lie derivative is defined. The geometrical significance of first-order PDEs is studied.
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Papachristou, C.J. (2019). Differential Systems: Geometric Viewpoint. In: Aspects of Integrability of Differential Systems and Fields. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-35002-4_5
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DOI: https://doi.org/10.1007/978-3-030-35002-4_5
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