A dynamic Parrondo's paradox for continuous seasonal systems

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.

arXiv comment17 pages

References in corpus (4)

• Integrability and non-integrability of periodic non-autonomous Lyness recurrences
• The embedding flows of $C^{\infty }$ hyperbolic diffeomorphisms
• Non-autonomous 2-periodic Gumovski-Mira difference equations
• Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points

Cited by in corpus (2)

• A Parrondo paradox in susceptible-infectious-susceptible dynamics over periodic temporal networks
• Chaos and Parrondo's paradox: An overview