Abstract
One of the modern geometric views of dynamical systems is as vector fields on a manifold, with or without boundary. The starting point of this paper is the observation that, since one-forms are the natural expression of linear functionals on the space of vector fields, the interaction between the two makes some aspects of the study of equilibria and periodic orbits more tractable, at least in certain cases.
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Byrnes, C.I. (2007). Differential Forms and Dynamical Systems. In: Chiuso, A., Pinzoni, S., Ferrante, A. (eds) Modeling, Estimation and Control. Lecture Notes in Control and Information Sciences, vol 364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73570-0_4
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DOI: https://doi.org/10.1007/978-3-540-73570-0_4
Publisher Name: Springer, Berlin, Heidelberg
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