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Lev B. Ryashko

Lev B. Ryashko
Ural Federal University, Ekaterinburg, Russian Federation

Institute of Natural Sciences and Mathematics

Department of Theoretical and Mathematical Physics, Professor

PhD (Phys., Math.), Professor

ScopusID: 55926812600

ResearcherID: Q-4291-2016

ORCID ID: 0000-0002-0817-3753

Scientific interests: Stochastic Dynamics, Mathematical Modeling, Bifurcations, Chaos

Scientific achievements: Theory of the stochastic sensitivity of complex spatial attractors of nonlinear dynamical systems was developed. The method of confidence domains in the study of noise-induced transitions was proposed.

Main publications:

  1. Bashkirtseva I., Ryashko L. Sensitivity analysis of stochastic attractors and noise-induced transitions for population model with Allee effect // Chaos, 2011. Vol. 21. P. 047514. DOI: 10.1063/1.3647316
  2. Bashkirtseva I., Ryashko L. Stochastic sensitivity analysis of noise-induced excitement in a prey-predator plankton system // Frontiers in Life Science, 2011. Vol. 5, P. 141–148. DOI: 10.1080/21553769.2012.702666
  3. Bashkirtseva I., Chen G., Ryashko L.  Stabilizing stochastically-forced oscillation generators with hard excitement: a confidence-domain control approach // Eur. Phys. J. B, 2013. Vol. 86. P. 437. DOI: 10.1140/epjb/e2013-40592-2
  4. Bashkirtseva I., Ryazanova T., Ryashko L. Confidence domains in the analysis of noise-induced transition to chaos for Goodwin model of business cycles // Int. J. of Bifurcation and Chaos, 2014. Vol. 24. P. 1440020. DOI: 10.1142/S0218127414400203
  5. Bashkirtseva I., Neiman A. B., Ryashko L. Stochastic sensitivity analysis of noise-induced suppression  of firing and giant variability of spiking in a Hodgkin-Huxley neuron model // Phys. Rev. E, 2015, Vol. 91, no. 5. P. 05292. DOI: 10.1103/PhysRevE.91.052920
  6. Bashkirtseva I., Ryazanova T., Ryashko L. Stochastic bifurcations caused by multiplicative noise in systems with hard excitement of auto-oscillations // Phys. Rev. E, 2015. Vol.92, no. 4. P. 042908. DOI: 10.1103/PhysRevE.92.042908
  7. Bashkirtseva I., Ryashko L. Stochastic sensitivity analysis of noise-induced order-chaos transitions in discrete-time systems with tangent and crisis bifurcations // Physica A, 2017. Vol. 467, no.1.  P. 573–584. DOI: 10.1016/j.physa.2016.09.048
  8. Bashkirtseva I., Ryashko L. How environmental noise can contract and  destroy a persistence zone in population models with Allee effect // Theoretical Population Biology, 2017. Vol. 115. P. 61–68. DOI: 10.1016/j.tpb.2017.04.001