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1

STABILITY ANALYSIS AROUND SINGULAR STATIONARY POINTS AND COMPUTER ALGEBRA SYSTEMS

SHLYKOVA IRINA VIKTOROVNA, PONOSOV ARCADI VLADIMIROVICH, NEPOMNYASHSCIKH YURI

Journal:

Вестник Тамбовского университета. Серия: Естественные и технические науки

Year:

2010

File:

PDF, 2.67 MB

2010

2

The necessity of the carathéodory conditions for the lower semicontinuity in measure of the multivalued nemytskii operator

Arcady V. Ponosov, Yurii V. Nepomnyashchikh

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 518 KB

english, 1997

3

Stabilization of Linear Differential Systems via Hybrid Feedback Controls

Litsyn, Elena, Nepomnyashchikh, Yurii V., Ponosov, Arcady

Journal:

SIAM Journal on Control and Optimization

Year:

2000

Language:

english

File:

PDF, 174 KB

english, 2000

4

Global structure of sloppiness in a nonlinear model

Tafintseva, Valeria, Tøndel, Kristin, Ponosov, Arcady, Martens, Harald

Journal:

Journal of Chemometrics

Year:

2014

Language:

english

File:

PDF, 1.06 MB

english, 2014

5

Lyapunov Stability of the Generalized Stochastic Pantograph Equation

Kadiev, Ramazan, Ponosov, Arcady

Journal:

Journal of Mathematics

Year:

2018

Language:

english

File:

PDF, 1.73 MB

english, 2018

6

Control of the Lyapunov exponents of dynamical systems in the plane with incomplete observation

Elena Litsyn, Yurii Nepomnyashchikh, Arcady Ponosov

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2006

Language:

english

File:

PDF, 259 KB

english, 2006

7

Singular perturbation analysis and gene regulatory networks with delay

Irina Shlykova, Arcady Ponosov

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 2.15 MB

english, 2010

8

Filippov solutions in the analysis of piecewise linear models describing gene regulatory networks

Anna Machina, Arcady Ponosov

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2011

Language:

english

File:

PDF, 1.91 MB

english, 2011

9

Functional differential inclusions generated by functional differential equations with discontinuities

Irina Shlykova, Alexander Bulgakov, Arcady Ponosov

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2011

Language:

english

File:

PDF, 305 KB

english, 2011

10

Hybrid feedback stabilization of quasilinear systems in the plane

Elena Litsyn, Yurii Nepomnyashchikh, Arcady Ponosov

Journal:

Journal of Mathematical Analysis and Applications

Year:

2005

Language:

english

File:

PDF, 187 KB

english, 2005

11

On a delay equation with Richard’s nonlinearity

José J. Miguel, Arcady Ponosov, Andrei Shindiapin

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2001

File:

PDF, 188 KB

2001

12

Stability of stationary solutions of piecewise affine differential equations describing gene regulatory networks

Anna Machina, Arcady Ponosov

Journal:

Journal of Mathematical Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 242 KB

english, 2011

13

The W-transform in stability analysis for stochastic linear functional difference equations

Ramazan Kadiev, Arcady Ponosov

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 206 KB

english, 2012

14

On the properties of nonlinear nonlocal operators arising in neural field models

Anna Oleynik, Arcady Ponosov, John Wyller

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 361 KB

english, 2013

15

Neural firing rate model with a steep firing rate function

Muhammad Yousaf, Arcady Ponosov, John Wyller, Gaute T. Einevoll

Journal:

Nonlinear Analysis: Real World Applications

Year:

2013

Language:

english

File:

PDF, 437 KB

english, 2013

16

Exponential stability of Itô-type linear functional difference equations

Kadiev, Ramazan, Ponosov, Arcady

Journal:

Computers & Mathematics with Applications

Year:

2013

Language:

english

File:

PDF, 398 KB

english, 2013

17

Iterative Schemes for Bump Solutions in a Neural Field Model

Oleynik, Anna, Ponosov, Arcady, Wyller, John

Journal:

Differential Equations and Dynamical Systems

Year:

2015

Language:

english

File:

PDF, 425 KB

english, 2015

18

Two bump solutions of a homogenized Wilson–Cowan model with periodic microstructure

Malyutina, Elena, Wyller, John, Ponosov, Arcady

Journal:

Physica D: Nonlinear Phenomena

Year:

2014

Language:

english

File:

PDF, 1.44 MB

english, 2014

19

Polynomial representations of piecewise-linear differential equations arising from gene regulatory networks

Tafintseva, Valeriya, Machina, Anna, Ponosov, Arcady

Journal:

Nonlinear Analysis: Real World Applications

Year:

2013

Language:

english

File:

PDF, 755 KB

english, 2013

20

ON SOME CLASSES OF OPERATORS DETERMINED BY THE STRUCTURE OF THEIR MEMORY

Drakhlin, Mikhail E., Ponosov, Arcady, Stepanov, Eugene

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2002

Language:

english

File:

PDF, 263 KB

english, 2002

21

Numerical analysis of bump solutions for neural field equations with periodic microstructure

Malyutina, Elena, Ponosov, Arcady, Wyller, John

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 2.70 MB

english, 2015

22

[AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2 - Rethymno, Crete (Greece) (18–22 September 2009)] AIP Conference Proceedings - Singular Perturbation Analysis and Gene Regulatory Networks with Delay

Shlykova, Irina, Ponosov, Arcady, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2009

Language:

english

File:

PDF, 220 KB

english, 2009

23

[AIP Numerical Analysis and Applied Mathematics - Corfu, Greece (16-20 September 2007)] AIP Conference Proceedings - Stability Analysis of Systems with Logoid Nonlinearities and Distributed Delays

Shlykova, Irina, Ponosov, Arcady, Shindiapin, Andrei, Nepomnyashchikh, Yurii, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2007

Language:

english

File:

PDF, 385 KB

english, 2007

24

AIP Conference Proceedings [American Institute of Physics NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008 - Psalidi, Kos (Greece) (16–20 September 2008)] - Stability Analysis of Systems with Logoid Nonlinearities and Distributed Delays

Shlykova, Irina, Ponosov, Arcady, Shindiapin, Andrei, Nepomnyashchikh, Yury

Year:

2008

Language:

english

File:

PDF, 388 KB

english, 2008

25

Two-dimensional Amari neural field model with periodic microstructure: Rotationally symmetric bump solutions

Burlakov, Evgenii, Wyller, John, Ponosov, Arcady

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2016

Language:

english

File:

PDF, 1.34 MB

english, 2016

26

Stationary solutions of continuous and discontinuous neural field equations

Burlakov, Evgenii, Ponosov, Arcady, Wyller, John

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 1.16 MB

english, 2016

27

Spatially localized solutions of the Hammerstein equation with sigmoid type of nonlinearity

Oleynik, Anna, Ponosov, Arcady, Kostrykin, Vadim, Sobolev, Alexander V.

Journal:

Journal of Differential Equations

Year:

2016

Language:

english

File:

PDF, 641 KB

english, 2016

28

Piecewise synergetic systems and applications in biochemical systems theory

Ponosov, Arcady, Machina, Anna, Tafintseva, Valeria

Journal:

Georgian Mathematical Journal

Year:

2017

Language:

english

File:

PDF, 2.01 MB

english, 2017

29

Smooth Dynamics Becomes Hybrid in the Limit

Ponosov, Arcady, Stepanov, Eugene

Journal:

SIAM Journal on Control and Optimization

Year:

2017

Language:

english

File:

PDF, 4.94 MB

english, 2017

30

Control of Lyapunov Exponents via Hybrid Feedback Algorithms

Litsyn, Elena, Nepomnyashchikh, Yurii, Ponosov, Arcady

Journal:

IFAC Proceedings Volumes

Year:

2004

Language:

english

File:

PDF, 7.21 MB

english, 2004

31

Input-to-State Stability of Linear Stochastic Functional Differential Equations

Kadiev, Ramazan, Ponosov, Arcady

Journal:

Journal of Function Spaces

Year:

2016

Language:

english

File:

PDF, 1.98 MB

english, 2016

32

Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls

Litsyn, Elena, Myasnikova, Marina, Nepomnyashchikh, Yurii, Ponosov, Arcady

Journal:

Abstract and Applied Analysis

Year:

2004

Language:

english

File:

PDF, 1.88 MB

english, 2004

33

Stochastic McKendrick-von Foerster models with applications

Ponosov, Arcady, Idels, Lev, Kadiev, Ramazan

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2019

Language:

english

File:

PDF, 442 KB

english, 2019