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Scopus Author ID: 9534532500
ResearcherID: U-4223-2017
ResearcherID: HGU-1681-2022

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Works (31)

Odd and Even Functions in the Design Problem of New Chaotic Attractors

International Journal of Bifurcation and Chaos. – 2022. – V.32. -- №14. – Article ID 2250218, 26 pages.
2022-11-27 | Journal issue or edition
Contributors: Vasiliy Belozyorov
Source: Self-asserted source
Vasiliy Belozyorov

MODELING OF CHAOTIC PROCESSES BY MEANS OF ANTISYMMETRIC NEURAL ODES

JOURNAL OF OPTIMIZATION, DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS (JODEA) Volume 30, Issue 1, June 2022, pp. 1–41, DOI 10.15421/142201
2022-05-05 | Journal article
Source: Self-asserted source
Vasiliy Belozyorov

Modeling of Chaotic Processes by Means of Antisymmetric Neural ODEs

2021-09-17 | Preprint
DOI: 10.21203/rs.3.rs-790408/v1
Contributors: Vasiliy Belozyorov; Danylo Dantsev
Source: check_circle
Crossref

On the Equivalence of Real Dynamic Process and Its Neural Network Quadratic Models.

JOURNAL OF OPTIMIZATION, DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS (JODEA). DOI 10.15421/142109. - V. 29. - №2.
2021-06-25 | Journal article
Contributors: Vasiliy Belozyorov
Source: Self-asserted source
Vasiliy Belozyorov

STABILITY OF NEURAL ORDINARY DIFFERENTIAL EQUATIONS WITH POWER NONLINEARITIES

JOURNAL OF OPTIMIZATION, DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS (JODEA) Volume 28, Issue 2, December 2020, pp. 21–46, DOI 10.15421/142005
2020-12 | Journal article
Source: Self-asserted source
Vasiliy Belozyorov

ON EQUIVALENCE OF LINEAR CONTROL SYSTEMS AND ITS USAGE TO VERIFICATION OF THE ADEQUACY OF DIFFERENT MODELS FOR A REAL DYNAMIC PROCESS

Journal of Optimization, Differential Equations and Their Applications
2020-04-21 | Journal article
DOI: 10.15421/142002
Part of ISSN: 2663-6824
Part of ISSN: 2617-0108
Source: Self-asserted source
Vasiliy Belozyorov

Universal approach to the problem of emergence of chaos in autonomous dynamical systems

Nonlinear Dynamics
2019 | Journal article
DOI: 10.1007/s11071-018-4584-4
EID:

2-s2.0-85055540921
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEM

Journal of Optimization, Differential Equations and their Applications
2019-09-22 | Journal article
DOI: 10.15421/141907
Part of ISSN: 2663-6824
Part of ISSN: 2617-0108
Source: Self-asserted source
Vasiliy Belozyorov

A NEW MATHEMATICAL MODEL OF DYNAMIC PROCESSES IN DIRECT CURRENT TRACTION POWER SUPPLY SYSTEM

JOURNAL OF OPTIMIZATION, DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS (JODEA) Volume 27, Issue 1, June 2019, pp. 21–55, DOI 10.15421/141902
2019-06 | Journal article
Source: Self-asserted source
Vasiliy Belozyorov

Development of an approach to ensure stability of the traction direct current system

Eastern-European Journal of Enterprise Technologies
2018 | Journal article
DOI: 10.15587/1729-4061.2018.142936
EID:

2-s2.0-85059444155
Contributors: Sychenko, V.; Kuznetsov, V.; Kosariev, Y.; Hubskyi, P.; Belozyorov, V.; Zaytsev, V.; Pulin, M.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

On novel conditions of chaotic attractors existence in autonomous polynomial dynamical systems

Nonlinear Dynamics
2018 | Journal article
DOI: 10.1007/s11071-017-4023-y
EID:

2-s2.0-85039551939
Contributors: Ye Belozyorov, V.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Reduction Method for Search of Chaotic Attractors in Generic Autonomous Quadratic Dynamical Systems

International Journal of Bifurcation and Chaos
2017 | Journal article
DOI: 10.1142/S0218127417500365
EID:

2-s2.0-85017310272
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

A novel search method of chaotic autonomous quadratic dynamical systems without equilibrium points

Nonlinear Dynamics
2016 | Journal article
DOI: 10.1007/s11071-016-2927-6
EID:

2-s2.0-84978054078
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Invariant Approach to Existence Problem of Chaos in 3D Autonomous Quadratic Dynamical Systems

International Journal of Bifurcation and Chaos
2016 | Journal article
DOI: 10.1142/S0218127416500127
EID:

2-s2.0-84959161444
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

New solution method of linear static output feedback design problem for linear control systems

Linear Algebra and Its Applications
2016 | Journal article
DOI: 10.1016/j.laa.2016.04.001
EID:

2-s2.0-84963705886
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Role of logistic and Ricker’s maps in appearance of chaos in autonomous quadratic dynamical systems

Nonlinear Dynamics
2016 | Journal article
DOI: 10.1007/s11071-015-2360-2
EID:

2-s2.0-84940522395
Contributors: Belozyorov, V.Y.; Volkova, S.A.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Exponential-algebraic maps and chaos in 3D autonomous quadratic systems

International Journal of Bifurcation and Chaos
2015 | Journal article
DOI: 10.1142/S0218127415500480
EID:

2-s2.0-84929207413
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Research of chaotic dynamics of 3D autonomous quadratic systems by their reduction to special 2D quadratic systems

Mathematical Problems in Engineering
2015 | Journal article
DOI: 10.1155/2015/271637
EID:

2-s2.0-84927142918
Contributors: Belozyorov, V.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

General method of construction of implicit discrete maps generating chaos in 3D quadratic systems of differential equations

International Journal of Bifurcation and Chaos
2014 | Journal article
DOI: 10.1142/S0218127414500254
EID:

2-s2.0-84896278942
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Quadratic model of inter-population interaction: Investigation of stability areas

Applied Mathematics and Computation
2014 | Journal article
DOI: 10.1016/j.amc.2013.12.095
EID:

2-s2.0-84892778124
Contributors: Belozyorov, V.Ye.; Chernyshenko, S.V.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Generating chaos in 3d systems of quadratic differential equations with 1d exponential maps

International Journal of Bifurcation and Chaos
2013 | Journal article
DOI: 10.1142/S0218127413501058
EID:

2-s2.0-84880240549
Contributors: Belozyorov, V.Y.; Chernyshenko, S.V.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Chaotic dynamics in quadratic systems with singular linear part

Cybernetics and Systems Analysis
2012 | Journal article
DOI: 10.1007/s10559-012-9437-4
EID:

2-s2.0-84868574992
Contributors: Belozyrov, V.E.; Volkova, S.A.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Hierarchical heterogenity of populations: Modeling by the open Eigen hypercycle

Proceedings - 26th European Conference on Modelling and Simulation, ECMS 2012
2012 | Conference paper
EID:

2-s2.0-84879029256
Contributors: Belozyorov, V.Ye.; Chernyshenko, S.V.; Chernyshenko, V.S.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Implicit one-dimensional discrete maps and their connection with existence problem of chaotic dynamics in 3-D systems of differential equations

Applied Mathematics and Computation
2012 | Journal article
DOI: 10.1016/j.amc.2012.02.046
EID:

2-s2.0-84859423643
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

New types of 3-D systems of quadratic differential equations with chaotic dynamics based on Ricker discrete population model

Applied Mathematics and Computation
2011 | Journal article
DOI: 10.1016/j.amc.2011.10.037
EID:

2-s2.0-81855164886
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

On existence of homoclinic orbits for some types of autonomous quadratic systems of differential equations

Applied Mathematics and Computation
2011 | Journal article
DOI: 10.1016/j.amc.2010.11.010
EID:

2-s2.0-78650175738
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Invariant approach to an existence problem of nontrivial asymptotic stability cone

Canadian Applied Mathematics Quarterly
2007 | Journal article
EID:

2-s2.0-78650173339
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

On stability cones for quadratic systems of differential equations

Journal of Dynamical and Control Systems
2005 | Journal article
DOI: 10.1007/s10883-005-6583-2
EID:

2-s2.0-28144432322
Contributors: Belozyorov, V.Ye.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

Design of linear feedback for bilinear control systems

International Journal of Applied Mathematics and Computer Science
2002 | Journal article
EID:

2-s2.0-28144447933
Contributors: Belozyorov, V.Ye.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

On an invariant design of feedbacks for bilinear control systems of second order

International Journal of Applied Mathematics and Computer Science
2001 | Journal article
EID:

2-s2.0-28144438649
Contributors: Belozyorov, V.Ye.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier

On the solution of a modal control problem in a limiting case

Journal of Automation and Information Sciences
2000 | Journal article
EID:

2-s2.0-0141526150
Contributors: Belozyorov, V.Y.
Source: Self-asserted source
Vasiliy Belozyorov via Scopus - Elsevier
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