319 citations
- University of the West IndiesTT13 papers
- Chiba UniversityJP10 papers
- Clark Atlanta UniversityUS10 papers
- École Polytechnique Fédérale de LausanneCH10 papers
- Georgia Institute of TechnologyUS10 papers
- Ghent UniversityBE10 papers
- Humboldt-Universität zu BerlinDE10 papers
- Johannes Gutenberg University MainzDE10 papers
- Lawrence Berkeley National LaboratoryUS10 papers
- Pennsylvania State UniversityUS10 papers
- Ruhr University BochumDE10 papers
- RWTH Aachen UniversityDE10 papers
23 papers
Stabilizing multiple equilibria and cycles with noisy prediction-based control
Elena Braverman, Alexandra Rodkina
Pulse stabilization of cycles with Prediction-Based Control including noise and stochastic stabilization of maps with multiple equilibrium points is analyzed for continuous but, ge…
Stabilization of cycles with stochastic prediction-based and target-oriented control
Elena Braverman, Conall Kelly, Alexandra Rodkina
We stabilize a prescribed cycle or an equilibrium of the difference equation using pulsed stochastic control. Our technique, inspired by the Kolmogorov's Law of Large Numbers, acti…
Why fractional derivatives with nonsingular kernels should not be used
Kai Diethelm, Roberto Garrappa, Andrea Giusti +1
In recent years, many papers discuss the theory and applications of new fractional-order derivatives that are constructed by replacing the singular kernel of the Caputo or Riemann-…
Perturbing microscopic black holes inspired by noncommutativity
Davide Batic, N. G. Kelkar, Marek Nowakowski +1
We probe into the instabilities of microscopic quantum black holes. For this purpose, we study the quasinormal modes (QNMs) for a massless scalar perturbation of the noncommutative…
Stochastic control stabilizing unstable or chaotic maps
Elena Braverman, Alexandra Rodkina
The paper considers a stabilizing stochastic control which can be applied to a variety of unstable and even chaotic maps. Compared to previous methods introducing control by noise,…
Stochastic difference equations with the Allee effect
Elena Braverman, Alexandra Rodkina
For a truncated stochastically perturbed equation with on , which corresponds to the Allee effect, we observe that for very s…