Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points

Abstract

We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the whole system, giving rise to a Parrondo's dynamic type paradox.

21 pages

References in corpus (2)

• Sinc approximation of algebraically decaying functions
• Non-integrability of measure preserving maps via Lie symmetries

Cited by in corpus (4)

• Parrondo's paradox for homeomorphisms
• Chaos and Parrondo's paradox: An overview
• A dynamic Parrondo's paradox for continuous seasonal systems
• Bifurcation of 2-periodic orbits from non-hyperbolic fixed points