A dynamic Parrondo's paradox for continuous seasonal systems

TL;DR

This paper demonstrates that continuous seasonal systems can exhibit a Parrondo's paradox, where individual stable states become unstable when combined into a seasonal cycle, revealing complex stability behaviors.

Contribution

It introduces a dynamic Parrondo's paradox in continuous seasonal systems, expanding understanding of stability in such models.

Findings

Seasonal systems can reverse stability of equilibria when combined

Parrondo's paradox applies to continuous systems with seasonality

Global seasonal dynamics differ from individual seasonal stability

Abstract

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.