Steering multiattractors to overcome parameter inaccuracy and noise effects
arXiv:1806.03730 · doi:10.1103/PhysRevE.98.032210
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 Hénon'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.
arXiv comment6 pages, 3 figures, submitted to publication
References in corpus (22)
- Self-similarities in the frequency-amplitude space of a loss-modulated CO laser
- Terahertz ratchet effects in graphene with a lateral superlattice
- Accumulation horizons and period-adding in optically injected semiconductor lasers
- Scenario of the Birth of Hidden Attractors in the Chua Circuit
- Ratchet transport and periodic structures in parameter space
- Experimental control of transport resonances in a coherent quantum rocking ratchet
- Coupling the Leidenfrost Effect and Elastic Deformations to Power Sustained Bouncing
- Ultra-fast Vapor Generation by a Graphene Nano-ratchet
- Ratchet transport powered by chiral active particles
- Spectroscopy and Directed Transport of Topological Solitons in Crystals of Trapped Ions
- Hidden symmetries, instabilities, and current suppression in Brownian ratchets
- Temperature Resistant Optimal Ratchet Transport
- Replicate Periodic Windows in the Parameter Space of Driven Oscillators
- Quantum-classical transition and quantum activation of ratchet currents in the parameter space
- Proliferation of stability in phase and parameter spaces of nonlinear systems
- The effect of temperature on generic stable periodic structures in the parameter space of dissipative relativistic standard map
- Soft wall effects on interacting particles in billiards
- Transverse ac Driven and Geometric Ratchet Effects for Vortices in Conformal Crystal Pinning Arrays
- Ratchet transport of a two-dimensional electron gas at cyclotron resonance
- Controlling intermediate dynamics in a family of quadratic maps
- Correspondence behavior of classical and quantum dissipative directed transport via thermal noise
- Optimizing thermally affected ratchet currents using periodic perturbations