319 citations
- Lawrence Berkeley National LaboratoryUS31 papers
- Pennsylvania State UniversityUS31 papers
- The Ohio State UniversityUS31 papers
- University of AlabamaUS31 papers
- University of California, BerkeleyUS31 papers
- University of DelawareUS31 papers
- University of Maryland, College ParkUS31 papers
- University of Wisconsin–MadisonUS31 papers
- Uppsala UniversitySE31 papers
- Chiba UniversityJP30 papers
- Clark Atlanta UniversityUS30 papers
- École Polytechnique Fédérale de LausanneCH30 papers
8 papers · 1 filter
On Target-Oriented Control of Henon and Lozi maps
Elena Braverman, Alexandra Rodkina
We explore stabilization for nonlinear systems of difference equations with modified Target-Oriented Control and a chosen equilibrium as a target, both in deterministic and stochas…
Stabilization of cycles for difference equations with a noisy PF control
Elena Braverman, Josef Diblík, Alexandra Rodkina +1
Difference equations, such as a Ricker map, for an increased value of the parameter, experience instability of the positive equilibrium and transition to deterministic chaos. To ac…
Global stabilization and destabilization by the state dependent noise with particular distributions
Elena Braverman, Alexandra Rodkina
Under natural assumptions, an unstable equilibrium of a difference equation can be stabilized by a bounded multiplicative noise, identically distributed at each step. This includes…
Modulated crystals and almost periodic measures
Jeong-Yup Lee, Daniel Lenz, Christoph Richard +2
Modulated crystals and quasicrystals can simultaneously be described as modulated quasicrystals, a class of point sets introduced by de Bruijn in 1987. With appropriate modulation…
Stochastic stability analysis of a reduced galactic dynamo model with perturbed α-effect
Cónall Kelly
We investigate the asymptotic behaviour of a reduced αΩ-dynamo model of magnetic field generation in spiral galaxies where fluctuation in the α-effect results in a system with stat…
Stabilisation of difference equations with noisy prediction-based control
Elena Braverman, Conall Kelly, Alexandra Rodkina
We consider the influence of stochastic perturbations on stability of a unique positive equilibrium of a difference equation subject to prediction-based control. These perturbation…