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1

Stochastic Bifurcations and Noise-Induced Chaos in 3D Neuron Model

Bashkirtseva, Irina, Fedotov, Sergei, Ryashko, Lev, Slepukhina, Evdokia

Journal:

International Journal of Bifurcation and Chaos

Year:

2016

Language:

english

File:

PDF, 4.64 MB

english, 2016

2

Noise-induced shifts in the population model with a weak Allee effect

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2018

Language:

english

File:

PDF, 2.67 MB

english, 2018

3

Noise-induced spiking-bursting transition in the neuron model with the blue sky catastrophe

Bashkirtseva, Irina, Ryashko, Lev, Slepukhina, Evdokia

Journal:

Physical Review E

Year:

2019

Language:

english

File:

PDF, 2.92 MB

english, 2019

4

Stochastic Bifurcations and Noise-Induced Chaos in a Dynamic Prey–Predator Plankton System

Bashkirtseva, Irina, Ryashko, Lev

Journal:

International Journal of Bifurcation and Chaos

Year:

2014

Language:

english

File:

PDF, 3.77 MB

english, 2014

5

How environmental noise can contract and destroy a persistence zone in population models with Allee effect

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Theoretical Population Biology

Year:

2017

Language:

english

File:

PDF, 22.94 MB

english, 2017

6

Analysis of regular and chaotic dynamics in a stochastic eco-epidemiological model

Bashkirtseva, Irina, Ryashko, Lev, Ryazanova, Tatyana

Journal:

Chaos, Solitons & Fractals

Year:

2019

Language:

english

File:

PDF, 4.49 MB

english, 2019

7

Sensitivity and chaos control for the forced nonlinear oscillations

Irina Bashkirtseva, Lev Ryashko

Journal:

Chaos, Solitons & Fractals

Year:

2005

Language:

english

File:

PDF, 386 KB

english, 2005

8

Constructive analysis of noise-induced transitions for coexisting periodic attractors of the Lorenz model

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Physical Review E

Year:

2009

Language:

english

File:

PDF, 12.98 MB

english, 2009

9

Stochastic equilibria control and chaos suppression for 3D systems via stochastic sensitivity synthesis

Irina Bashkirtseva, Guanrong Chen, Lev Ryashko

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2012

Language:

english

File:

PDF, 1.96 MB

english, 2012

10

Stochastic sensitivity analysis of noise-induced intermittency and transition to chaos in one-dimensional discrete-time systems

Irina Bashkirtseva, Lev Ryashko

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2013

Language:

english

File:

PDF, 4.14 MB

english, 2013

11

Stochastic sensitivity analysis of noise-induced excitement in a prey–predator plankton system

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Frontiers in Life Science

Year:

2011

Language:

english

File:

PDF, 1.34 MB

english, 2011

12

Confidence Domains in the Analysis of Noise-Induced Transition to Chaos for Goodwin Model of Business Cycles

Bashkirtseva, Irina, Ryazanova, Tatyana, Ryashko, Lev

Journal:

International Journal of Bifurcation and Chaos

Year:

2014

Language:

english

File:

PDF, 4.61 MB

english, 2014

13

Control of Equilibria for Nonlinear Stochastic Discrete-Time Systems

Bashkirtseva, Irina, Ryashko, Lev

Journal:

IEEE Transactions on Automatic Control

Year:

2011

Language:

english

File:

PDF, 203 KB

english, 2011

14

NOISE-INDUCED CHAOS AND BACKWARD STOCHASTIC BIFURCATIONS IN THE LORENZ MODEL

BASHKIRTSEVA, IRINA, RYASHKO, LEV, STIKHIN, PAVEL

Journal:

International Journal of Bifurcation and Chaos

Year:

2013

Language:

english

File:

PDF, 2.87 MB

english, 2013

15

AIP Conference Proceedings [AIP Publishing LLC PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) - Rhodes, Greece (22–28 September 2014)] - Approximation of stochastic equilibria for dynamic systems with colored noise

Bashkirtseva, Irina

Year:

2015

Language:

english

File:

PDF, 209 KB

english, 2015

16

Approximating Chaotic Attractors by Period-Three Cycles in Discrete Stochastic Systems

Bashkirtseva, Irina, Ryashko, Lev

Journal:

International Journal of Bifurcation and Chaos

Year:

2015

Language:

english

File:

PDF, 2.48 MB

english, 2015

17

Attractors of randomly forced logistic model with delay: stochastic sensitivity and noise-induced transitions

Bashkirtseva, Irina, Ekaterinchuk, Ekaterina, Ryashko, Lev

Journal:

Journal of Difference Equations and Applications

Year:

2015

Language:

english

File:

PDF, 2.27 MB

english, 2015

18

Stochastic Sensitivity Analysis and Noise-Induced Chaos in 2D Logistic-Type Model

Bashkirtseva, Irina, Ekaterinchuk, Ekaterina, Ryashko, Lev

Journal:

International Journal of Bifurcation and Chaos

Year:

2016

Language:

english

File:

PDF, 4.22 MB

english, 2016

19

Analysis of noise-induced eruptions in a geyser model

Alexandrov, Dmitri V., Bashkirtseva, Irina A., Ryashko, Lev B.

Journal:

The European Physical Journal B / Condensed Matter and Complex Systems

Year:

2016

Language:

english

File:

PDF, 1006 KB

english, 2016

20

Noise-induced extinction in Bazykin-Berezovskaya population model

Bashkirtseva, Irina, Ryashko, Lev

Journal:

The European Physical Journal B / Condensed Matter and Complex Systems

Year:

2016

Language:

english

File:

PDF, 1001 KB

english, 2016

21

How additive noise generates a phantom attractor in a model with cubic nonlinearity

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Physics Letters A

Year:

2016

Language:

english

File:

PDF, 2.81 MB

english, 2016

22

Stochastic sensitivity analysis of noise-induced order-chaos transitions in discrete-time systems with tangent and crisis bifurcations

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2016

Language:

english

File:

PDF, 1.41 MB

english, 2016

23

Analysis of Noise-Induced Bifurcations in the Stochastic Tritrophic Population System

Bashkirtseva, Irina, Ryashko, Lev, Ryazanova, Tatyana

Journal:

International Journal of Bifurcation and Chaos

Year:

2017

Language:

english

File:

PDF, 4.26 MB

english, 2017

24

Methods of Stochastic Analysis of Complex Regimes in the 3D Hindmarsh–Rose Neuron Model

Bashkirtseva, Irina, Ryashko, Lev, Slepukhina, Evdokia

Journal:

Fluctuation and Noise Letters

Year:

2018

Language:

english

File:

PDF, 6.17 MB

english, 2018

25

Stochastic Sensitivity Analysis of Noise-Induced Extinction in the Ricker Model with Delay and Allee Effect

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Bulletin of Mathematical Biology

Year:

2018

Language:

english

File:

PDF, 5.61 MB

english, 2018

26

Stochastic sensitivity of cycles in periodic dynamical systems

Bashkirtseva, Irina

Journal:

The European Physical Journal B / Condensed Matter and Complex Systems

Year:

2018

Language:

english

File:

PDF, 578 KB

english, 2018

27

Analysis of nonlinear stochastic oscillations in the biochemical Goldbeter model

Bashkirtseva, Irina, Ryashko, Lev, Zaitseva, Svetlana

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2019

Language:

english

File:

PDF, 1.64 MB

english, 2019

28

Mixed-mode self-oscillations, stochastic excitability, and coherence resonance in flows of highly concentrated suspensions

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Nonlinear Dynamics

Year:

2020

File:

PDF, 3.52 MB

2020

29

Analysis of noise-induced transitions for Hopf system with additive and multiplicative random disturbances

Irina Bashkirtseva, Lev Ryashko, Henri Schurz

Journal:

Chaos, Solitons & Fractals

Year:

2009

Language:

english

File:

PDF, 1.86 MB

english, 2009

30

Stochastic analysis of subcritical amplification of magnetic energy in a turbulent dynamo

Sergei Fedotov, Irina Bashkirtseva, Lev Ryashko

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2004

Language:

english

File:

PDF, 646 KB

english, 2004

31

Stochastic sensitivity analysis of the noise-induced excitability in a model of a hair bundle

Bashkirtseva, Irina, Neiman, Alexander B., Ryashko, Lev

Journal:

Physical Review E

Year:

2013

Language:

english

File:

PDF, 1.16 MB

english, 2013

32

Sea Ice Dynamics Induced by External Stochastic Fluctuations

Dmitri V. Alexandrov, Irina A. Bashkirtseva…

Journal:

Pure and Applied Geophysics

Year:

2013

Language:

english

File:

PDF, 392 KB

english, 2013

33

Stabilizing stochastically-forced oscillation generators with hard excitement: a confidence-domain control approach

Bashkirtseva, Irina, Chen, Guanrong, Ryashko, Lev

Journal:

The European Physical Journal B / Condensed Matter and Complex Systems

Year:

2013

Language:

english

File:

PDF, 2.17 MB

english, 2013

34

Stochastic sensitivity of the closed invariant curves for discrete-time systems

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2014

Language:

english

File:

PDF, 1.12 MB

english, 2014

35

ROYAL SOCIETY OF MEDICINE.

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Year:

1916

Language:

english

File:

PDF, 373 KB

english, 1916

36

Stabilization of stochastic cycles and control of noise-induced chaos

Bashkirtseva, Irina

Journal:

The European Physical Journal B / Condensed Matter and Complex Systems

Year:

2014

Language:

english

File:

PDF, 2.03 MB

english, 2014

37

Mean-square analysis of stochastic cycles in nonlinear discrete-time systems with parametric noise

Bashkirtseva, Irina

Journal:

Journal of Difference Equations and Applications

Year:

2014

Language:

english

File:

PDF, 274 KB

english, 2014

38

ANALYSIS OF LIMIT CYCLES RESPONSE ON PARAMETRIC NOISE IN ONE-DIMENSIONAL DISCRETE-TIME SYSTEMS

BASHKIRTSEVA, IRINA

Journal:

Fluctuation and Noise Letters

Year:

2013

Language:

english

File:

PDF, 537 KB

english, 2013

39

Attainability analysis in the stochastic sensitivity control

Bashkirtseva, Irina

Journal:

International Journal of Control

Year:

2015

Language:

english

File:

PDF, 921 KB

english, 2015

40

Stochastic sensitivity analysis of the attractors for the randomly forced Ricker model with delay

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Physics Letters A

Year:

2014

Language:

english

File:

PDF, 3.36 MB

english, 2014

41

Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system

Bashkirtseva, Irina, Chen, Guanrong, Ryashko, Lev

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2012

Language:

english

File:

PDF, 5.22 MB

english, 2012

42

Stochastic dynamo model for subcritical transition

Fedotov, Sergei, Bashkirtseva, Irina, Ryashko, Lev

Journal:

Physical Review E

Year:

2006

Language:

english

File:

PDF, 84 KB

english, 2006

43

Analysis of excitability for the FitzHugh-Nagumo model via a stochastic sensitivity function technique

Bashkirtseva, Irina, Ryashko, Lev

Journal:

Physical Review E

Year:

2011

Language:

english

File:

PDF, 4.44 MB

english, 2011

44

Stochastic analysis of a non-normal dynamical system mimicking a laminar-to-turbulent subcritical transition

Fedotov, Sergei, Bashkirtseva, Irina, Ryashko, Lev

Journal:

Physical Review E

Year:

2002

Language:

english

File:

PDF, 99 KB

english, 2002

45

ANALYSIS OF STOCHASTIC CYCLES IN THE CHEN SYSTEM

BASHKIRTSEVA, IRINA, CHEN, GUANRONG, RYASHKO, LEV

Journal:

International Journal of Bifurcation and Chaos

Year:

2010

Language:

english

File:

PDF, 765 KB

english, 2010

46

NOISE-INDUCED OSCILLATING BISTABILITY AND TRANSITION TO CHAOS IN FITZHUGH–NAGUMO MODEL

BASHKIRTSEVA, IRINA, RYASHKO, LEV, SLEPUKHINA, EUDOKIA

Journal:

Fluctuation and Noise Letters

Year:

2014

Language:

english

File:

PDF, 2.59 MB

english, 2014

47

Analysis of dynamic regimes in stochastically forced Kaldor model

Bashkirtseva, Irina, Ryazanova, Tatyana, Ryashko, Lev

Journal:

Chaos, Solitons & Fractals

Year:

2015

Language:

english

File:

PDF, 2.79 MB

english, 2015

48

How a small noise generates large-amplitude oscillations of volcanic plug and provides high seismicity

Alexandrov, Dmitri V., Bashkirtseva, Irina A., Ryashko, Lev B.

Journal:

The European Physical Journal B / Condensed Matter and Complex Systems

Year:

2015

Language:

english

File:

PDF, 1016 KB

english, 2015

49

Regular and chaotic regimes in Saltzman model of glacial climate dynamics under the influence of additive and parametric noise

Alexandrov, Dmitry V., Bashkirtseva, Irina A., Fedotov, Sergei P., Ryashko, Lev B.

Journal:

The European Physical Journal B / Condensed Matter and Complex Systems

Year:

2014

Language:

english

File:

PDF, 4.71 MB

english, 2014

50

Analysis of the Noise-Induced Regimes in Ricker Population Model with Allee Effect via Confidence Domains Technique

Bashkirtseva, Irina, Ryashko, Lev

Journal:

BioMed Research International

Year:

2014

Language:

english

File:

PDF, 20.77 MB

english, 2014