Abstract
A theorem is proved which may relate the attractors of families of dissipative discrete-time dynamical systems to certain closed orbits of conservative systems. The result is illustrated by an example taken from dynamics defined by \(\mathbb{R}^2 \to \mathbb{R}^2 \) mappings.
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References
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Mendes, R.V., Duarte, J.T. Arcs of discrete dynamics and constants of motion. Lett Math Phys 6, 249–252 (1982). https://doi.org/10.1007/BF00400318
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DOI: https://doi.org/10.1007/BF00400318