Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Valery A. Gaiko"'
Autor:
Valery Aleksandrovich Gaiko
Publikováno v:
Компьютерные исследования и моделирование, Vol 9, Iss 4, Pp 537-545 (2017)
In this paper, we consider a quartic family of planar vector fields corresponding to a rational Holling system which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system and which is a variatio
Externí odkaz:
https://doaj.org/article/95f8f5ea22284fc7abbfcae6169bca54
Publikováno v:
Computer Research and Modeling. 12:693-705
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8422b10b8d9a7ce6698714fa5411d493
https://doi.org/10.20537/2076-7633-2020-12-4-693-705
https://doi.org/10.20537/2076-7633-2020-12-4-693-705
Autor:
Valery Aleksandrovich Gaiko
Publikováno v:
Компьютерные исследования и моделирование, Vol 3, Iss 2, Pp 125-134 (2011)
We complete the global bifurcation analysis of a quartic predator-prey model. In particular, studying global bifurcations of singular points and limit cycles, we prove that the corresponding dynamical system has at most two limit cycles.
Externí odkaz:
https://doaj.org/article/16cf3c36a20d417ab6a0e4bda513a499
Autor:
Valery A. Gaiko
Publikováno v:
Advanced Structured Materials ISBN: 9783030530051
We carry out a global bifurcation analysis of planar polynomial dynamical systems. In particular, using a bifurcational geometric approach, we study the global dynamics and solve the problem on the maximum number and distribution of limit cycles in a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::014c98390b5b952b150cd3b82e4c2906
https://doi.org/10.1007/978-3-030-53006-8_6
https://doi.org/10.1007/978-3-030-53006-8_6
Autor:
Valery A. Gaiko
Publikováno v:
2020 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics (DCNAIR).
In this paper, we consider a quartic family of planar vector fields corresponding to a rational Kolmogorov type system which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system and which is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60ce93185670738a947f64d6b53dee9f
https://doi.org/10.1109/dcnair50402.2020.9216913
https://doi.org/10.1109/dcnair50402.2020.9216913
Publikováno v:
Cybernetics and Physics, 8(4). International Physics and Control Society (IPACS)
In this paper, we study the 3-dimensional Topp model for the dynamics of diabetes. First, we reduce the model to a planar quartic system. In particular, studying global bifurcations, we prove that such a system can have at most two limit cycles. Next
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b2d24d542c55ba6a204d591ed8d010a
https://hdl.handle.net/11370/2d8b41be-df33-46be-b533-b38ea4e27c06
https://hdl.handle.net/11370/2d8b41be-df33-46be-b533-b38ea4e27c06
This book commemorates the 60th birthday of Dr. Wim van Horssen, a specialist in nonlinear dynamic and wave processes in solids, fluids and structures. In honor of Dr. Horssen's contributions to the field, it presents papers discussing topics such as
Autor:
Valery A. Gaiko, Cornelis Vuik
Publikováno v:
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 28(12)
We complete the global bifurcation analysis of the Leslie–Gower system with the Allee effect which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system. In particular, studying global bifurca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7519b788b62f2b958447ca4ee1f089a0
http://resolver.tudelft.nl/uuid:0e5fd7c0-511f-4c3e-a4c3-9b34c43aaa10
http://resolver.tudelft.nl/uuid:0e5fd7c0-511f-4c3e-a4c3-9b34c43aaa10
Publikováno v:
IFAC-PapersOnLine, 51(33)
In this paper, we study a multi-parameter Lienard polynomial system carrying out its global bifurcation analysis. To control the global bifurcations of limit cycle in this systems, it is necessary to know the properties and combine the effects of all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c37ae74957c98cf97a5c376afd367f1
https://doi.org/10.1016/j.ifacol.2018.12.108
https://doi.org/10.1016/j.ifacol.2018.12.108
Autor:
Valery A. Gaiko
Publikováno v:
Journal of Nonlinear Sciences and Applications. :429-434
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9717623653a5a846c95536a72b29845c
https://doi.org/10.22436/jnsa.007.06.06
https://doi.org/10.22436/jnsa.007.06.06