A dynamic Parrondo's paradox for continuous seasonal systems
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We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo’s dynamic paradox, in which the stability of an equilibrium, common to all seasons is reversed for the global seasonal system. As a byproduct of our approach we also prove that there are locally invertible orientation preserving planar maps that cannot be the time-1 flow map of any smooth planar vector field
CitationCima, A.; Gasull, A.; Mañosa, V. A dynamic Parrondo's paradox for continuous seasonal systems. "Nonlinear dynamics", Octubre 2020, vol. 102, num. 2, p. 1033–1043.