Steering multiattractors to overcome parameter inaccuracy and noise effects

TL;DR

This paper introduces a method to steer multistable attractors using asymmetric perturbations, significantly expanding stable parameter domains and enhancing robustness against noise and inaccuracies in nonlinear systems.

Contribution

It proposes a novel technique to manipulate attractors in multistable systems, increasing stability regions by over 200% in various nonlinear models.

Findings

Increased stable domains by 230% in Hénon's map

Enhanced robustness in the Langevin equation model by 85%

Expanded stability in Chua's circuit by 60%

Abstract

Steering of attractors in multistable systems is used to increase the available parameter domains which lead to stable dynamics in nonlinear physical systems, reducing substantially undesirable effects of parametric inaccuracy and noise. The procedure proposed here uses time and/or space asymmetric perturbations to move independent multistable attractors in phase space. Applying this mechanism we increase around 230% the stable domains in H\'enon's map, roughly 85% in the ratchet current described by the Langevin equation and 60% in Chua's electronic circuit. The proposal is expected to have wide applications in generic nonlinear complex system presenting multistability, so that related experiments can increase robustness under parametric inaccuracy and noise.