| Научен проект |
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1
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Огнян Христов, Динамични системи, теория на числата и приложения, Член, ФНИ към СУ, ФМИ, Номер на договора:80.10.215/2017
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2017
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2
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Огнян Христов, “Алгебрични и геометрични методи в диференциалните уравнения, интегруемост и неинтегруемост”, Член, МОН- ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:DN 02-5
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2016
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3
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Огнян Христов, Динамични системи, теория на числата и приложения, Член, ФНИ към СУ, ФМИ, Номер на договора:113/2016
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2016
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4
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Огнян Христов, Динамични системи, теория на числата и приложения, Член, ФНИ към СУ, ФМИ, Номер на договора:33/2015
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2015
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5
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Огнян Христов, Динамични системи, теория на числата и приложения, Член, ФНИ към СУ, ФМИ, Номер на договора:59/2014
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2014
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6
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Огнян Христов, Динамични системи, теория на числата и приложения, Член, ФНИ към СУ, ФМИ, Номер на договора:99/2013
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2013
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7
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Огнян Христов, Динамични системи, теория на числата и приложения, Член, ФНИ към СУ, ФМИ, Номер на договора:26/2012
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2012
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8
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Огнян Христов, Динамични системи, теория на числата и приложения, Член, ФНИ към СУ, ФМИ, Номер на договора:193/2011
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2011
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9
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Огнян Христов, Динамични системи и приложения, Ръководител, ФНИ към МОНМ, Номер на договора:ДД ВУ 02/90
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2010
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10
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Огнян Христов, Теория на бифуркациите, интегруеми и неинтегруеми системи и биспектрален проблем, Ръководител, ФНИ към СУ, ФМИ, Номер на договора:169
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2010
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11
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Огнян Христов, Математичска физика и теория на числата, Член, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:ММ 1504
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2005
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12
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Огнян Христов, Алгебрични, аналитични и топологични методи в динамичните системи, Ръководител, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:ММ 1003 /2000
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2000
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13
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Огнян Христов, Алгебрико-геометрични методи в динамичните системи, Ръководител, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:MM 523
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1995
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| Научно ръководство |
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1
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Огнян Христов, Нормални форми на линейни Хамилтонови системи, ФМИ, СУ дипломна работа:Антон Биков
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2019
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2
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Огнян Христов, Слаба форма и метод на крайни елементи за решаване на изродени задачи от типа на уравнението на Блек и Шолс, ФМИ, СУ дипломна работа:Свилен Иванов Попов
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2017
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3
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Огнян Христов, Неинтегруемост в смисъл на Лиувил на някои уравнения на Пенлеве от по-висок ред, СУ, ФМИ дисертация д-р:Георги Иванов Георгиев
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2015
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4
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Огнян Христов, Моделиране на финансово инвестиране с растеж, СУ, ФМИ, маг. програма ММИ дипломна работа:Станислав Андреев
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2010
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5
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Огнян Христов, Търсене, безработица, възраст, СУ, ФМИ, маг. програма ММИ дипломна работа:Пенка Зафирова
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2010
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6
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Огнян Христов, Мехурчета и катастрофи:
Градиентна динамика на финансовите пазари, ФМИ, СУ дипломна работа:Йоана Йорданова
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2009
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7
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Огнян Христов, Модел на свързани изображения в икономическата динамика, ФМИ, СУ дипломна работа:Венцислава Ботева
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2009
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8
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Огнян Христов, Самоорганизация в модели на Кейнс, ФМИ, СУ дипломна работа:Катя Зафирова
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2009
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9
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Огнян Христов, Неинтегруемост на Хамилтоновата система, произлизаща от задачата за нелинейна вибрация на еластична струна, ФМИ, СУ дипломна работа:Петя Брайнова
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2008
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10
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Огнян Христов, Нелинеен динамичен модел на режим превключващ между установени практики и бизнес цикли, ФМИ, СУ дипломна работа:Хермина Гарабедова
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2008
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11
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Огнян Христов, Модифициран модел на Goodwin. Детерминиран хаос, ФМИ, СУ дипломна работа:Петя Христова
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2005
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12
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Огнян Христов, Топологическа класификация и съществуване на периодични решения на определен клас диференциални уравнения от втори ред, ФМИ, СУ дипломна работа:Николай Димитров
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2001
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13
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Огнян Христов, Върху неинтегруемостта на Хамилтонова система, описваща еластична струна, ФММ, СУ дипломна работа:Христо Илиев
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1994
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| Статия в научно списание |
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1
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Ognyan Christov, On the integrability of twofold 1 : 2 Hamiltonian resonance, Discrete and Continuous Dynamical Systems-Series B, vol:28, issue:8, 2023, pages:4442-4456, ISSN (print):ISSN: 1531-3492, doi:doi:10.3934/dcdsb/2023023, Ref, IF, IF (1.2 - 2022), Web of Science Quartile: Q2 (2023), SCOPUS, SJR ( - 2022), SCOPUS Quartile: Q2 (2023)
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2023
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2
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Ognyan Christov, Non-integrability of a system from the rigid body dynamics, Annual of Sofia University “St. Kliment Ohridski” , Faculty of Mathematics and Informatics, vol:109, 2022, pages:57-69, doi:DOI: 10.60063/GSU.FMI.109.57-69
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2022
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3
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O. Christov, Non-integrability of a three-dimensional generalized Hénon-Heiles system, European Physical Journal Plus, issue:136:1039 , 2021, ISSN (online):Electronic ISSN 2190-5444, doi: https://doi.org/10.1140/epjp/s13360-021-02044-0, Ref, IF, IF (3.4 - 2020), Web of Science Quartile: Q2 (2021)
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2021
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4
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Ognyan Christov, On the integrability of Hamiltonian 1:2:2 resonance, Nonlinear Dynamics, 2020, ISSN (print):0924-090X, ISSN (online):1573-269X, doi:10.1007/s11071-020-06036-0, Ref, IF, IF (5.022 - 2020), Web of Science Quartile: Q1 (2020), SCOPUS Quartile: Q1 (2020)
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2020
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5
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Ognyan Christov, Near-Integrability of Periodic Klein-Gordon Lattices, Symmetry, vol:11, issue:4, 2019, ISSN (online):2073-8994, doi:https://doi.org/10.3390/sym11040475 , Ref, Web of Science, SCOPUS Quartile: Q2 (30/69 2018 Multidisciplinary sciences)
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2019
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6
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O. Christov, Near-Integrability of Low-Dimensional Periodic Klein-Gordon Lattices, Advances in Mathematical Physics, 2018, ISSN (print):1687-9120, ISSN (online):1687-9139, doi:doi.org/10.1155/2018/7023696, Ref, IF, IF (0.936 - 2018), Web of Science Quartile: Q3 (2018), SCOPUS Quartile: Q3 (39/55 Phisics, Mathematical 2018 JCR - WoS)
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2018
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7
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Ognyan Christov, Non-integrability of the Karabut system, Nonlinear Analysis: Real World Applications, vol:32, 2016, pages:91-97, ISSN (print):1468-1218, ISSN (online):1878-5719, doi:10.1016/j.nonrwa.2016.04.002, Ref, IR , SCOPUS, SJR (1.627 - 2016), SCOPUS Quartile: Q1 (43/255 Mathematics, Appl. 2016 JCR-WoS)
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2016
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8
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Ognyan Christov, Georgi Georgiev, Non-Integrability of Some Higher-Order Painleve Equations in the Sense of Liouville , SIGMA, vol:11, 2015, pages:1-20, ISSN (online):ISSN 1815-0659 , doi:http://dx.doi.org/10.3842/SIGMA.2015.045, Ref, Web of Science, SCOPUS Quartile: Q3 (29/53 Physics Math. 2015 JCR-WoS)
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2015
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9
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Ognyan Christov, Georgi Georgiev, On the integrability of a system describing the stationary solutions in Bose–Fermi mixtures, Chaos, Solitons and Fractals, vol:77, 2015, pages:138-148, ISSN (print):0960-0779, ISSN (online):1873-2887, doi: doi:10.1016/j.chaos.2015.05.024, Ref, Web of Science, SCOPUS Quartile: Q2 (Math. Interdisc. Appl. 2015 JCR-WoS), PhD
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2015
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10
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Ognyan Christov, Canonically conjugate variables for the $\mu$CH equation, Pliska Stud. Math. Bulgar., vol:21, 2012, pages:287-298, Ref, MathSciNet(MR 3114352)
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2012
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11
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Ognyan Christov, Non-integrability of first order resonances
in Hamiltonian systems in three degrees of freedom, Celest Mech Dyn Astr, vol:112, 2012, pages:149-167, ISSN (print):0923-2958 , ISSN (online):1572-9478 , doi:10.1007/s10569-011-9389-4, Ref, Web of Science, IF ( - 2012), Web of Science Quartile: Q1 (2012), SCOPUS Quartile: Q1 (9/93 Mathematics Interdisc. Appl. 2012 JCR-WoS-)
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2012
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12
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Ognyan Christov, Sevdzhan Hakkaev, Iliya D. Iliev, Non-uniform continuity of periodic Holm-Staley b-family of equations, Nonlinear Analysis: Theory, Methods & Applications, vol:75, 2012, pages:4821-4838, ISSN (print):0362-546X, doi:10.1016/j.na.2012.03.031, Ref, Web of Science, SCOPUS Quartile: Q1 (26/247 Mathematics Appl. 2012 JCR-WoS)
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2012
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13
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Ognyan Christov, On the nonlocal symmetries of the $\mu$-Camassa-Holm equation, Journal of Nonlinear Mathematical Physics, vol:Vol. 19, issue:No. 3, 2012, pages:1250025-1250042, ISSN (print):1402-9251, ISSN (online):1776-0852, doi:10.1142/S1402925112500258, Ref, Web of Science, SCOPUS Quartile: Q4 (46/55 Physics Math. 2012 JCR-WoS)
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2012
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14
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Ognyan Christov, Geometric Integrability of Some Generalizations of
the Camassa-Holm Equation, International Journal of Differential Equations, vol:Volume 2011, Article ID 738509, 2011, pages:1-13, ISSN (print):1687-9643, ISSN (online):1687-9651, doi:10.1155/2011/738509, Ref, Web of Science
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2011
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15
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Ognyan Christov, Near Integrability in Low Dimensional Gross–Neveu Models, Zeitcshrift fur Naturforschung A, vol:66a, 2011, pages:468-480, ISSN (print):0932-0784, ISSN (online):1865-7109, doi:10.5560/ZNA.2011-0002, Ref, IF, IF (0.94 - 2011), SCOPUS Quartile: Q3 (Physics Multidisc. 2011 JCR-WoS)
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2011
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16
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P. Braynova, O. Christov, Non-integrability of a Hamiltonian system, based on a problem
of nonlinear vibration of an elastic string, Ann. Univ. Sofia, Fac. Math. Inf., vol:99, 2009, pages:91-107, ISSN (print):0205-0808, Ref, MathSciNet(MR 2528896), MSc
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2009
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17
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Ognyan Christov, Sevdzhan Hakkaev, On the Cauchy problem for the periodic b - family of equations and of the
non - uniform continuity of Degasperis - Procesi equation, J. Math. Anal. Appl., vol:360, 2009, pages:47-56, ISSN (print):0022-247X, ISSN (online):1096-0813, doi:doi:10.1016/j.jmaa.2009.06.035, Ref, Web of Science, SCOPUS Quartile: Q1 (54/204 Mathematics Appl. 2009 JCR-WoS)
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2009
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18
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O. Christov, S. Hakkaev, On the inverse scattering approach and action - angle
variables for the Dullin - Gottwald - Holm equation, Physica D:Nonlinear Phenomena, vol:238, 2009, pages:9-19, ISSN (print):0167-2789, ISSN (online):1872-8022, doi:http://dx.doi.org/10.1016/j.physd.2008.08.014, Ref, Web of Science, IF ( - 2009), Web of Science Quartile: Q1 (2009), SCOPUS Quartile: Q1 (31/204 Physics Multidisciplinary 2009 JCR-WoS)
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2009
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19
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T. Stoyanova, O. Christov, Non-integrability of the second Painleve equation as a
Hamiltonian system, Comp. Rend. Acad. Bulg. Sci., vol:60, issue:1, 2007, pages:13-18, ISSN (print):1310-1331, ISSN (online):2367-5535, Ref, Web of Science, SCOPUS Quartile: Q4 (46/50 Multidisciplinary 2007 JSR-WoS)
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2007
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20
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A. Zhivkov, O. Christov, Effective solutions of Clebsch and C. Neumann systems, Sitzungsberichte der Berliner Mathematische Gesellschaft, 2000, pages:217-242, Ref, Zentralblatt(Zbl 1171.37327)
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2000
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21
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O. Christov, Remark on the non-integrability of the perturbed motion in a
central field in constant curvature spaces, Ann. de L' Univ. de Sofia, L. 2 - Mech., vol:93, 1999, pages:25-30, ISSN (print):0205-0808, Ref
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1999
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22
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O. Christov, A note on instability of spatially quasi - periodic states of
the Ginzburg - Landau equation, Physics Letters A , vol:228, 1997, pages:53-58, Ref, Web of Science, SCOPUS Quartile: Q2 (19/63 Physics 1997 JCR-WoS)
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1997
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23
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O. Christov, On the KAM - theory conditions for the Kirchhoff top, Serdica Math. J., vol:23, 1997, pages:113-124, ISSN (print):1310-6600, Ref, MathSciNet(MR2000c 70004)
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1997
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24
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O. Christov, On the chaotic behaviour of a system from the rigid body
dynamics, Journal of Theoretical and Applied Mechanics, issue:3, 1996, pages:9-16, Ref, MathSciNet(MR99g: 70015)
|
1996
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25
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O. Christov, D. Dragnev, Perturbations of systems describing the motion of a particle
in central fields, Serdica Math. J., vol:21, 1995, pages:91-108, ISSN (print):1310-6600, Ref, MathSciNet(MR 96c: 70020)
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1995
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26
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Christov O., ON THE KOLMOGOROVS CONDITION FOR A SPECIAL CASE OF THE KIRCHHOFF TOP, JOURNAL OF MATHEMATICAL PHYSICS, vol:35, issue:7, 1994, pages:3448-3463, ISSN (print):0022-2488
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1994
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27
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O. Christov, On the Kolmogorov's condition for the Kirchhoff top, C. R. Acad. Bul. Sci., vol:47, issue:6, 1994, pages:17-20, ISSN (print):1310-1331, Ref, SCOPUS Quartile: Q4 (46/50 Multidisciplinary 2007 JSR-WoS)
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1994
|
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28
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O. Christov, On the Kolmogorov's condition for the special case of the
Kirchhoff top, Journal of Mathematical Physics, vol:37, issue:7, 1994, pages:3448-3463, ISSN (print):0022-2488, ISSN (online):1089-7658, Ref, Web of Science, SCOPUS Quartile: Q2 (2/25 Physics Math. 1997 JCR-WoS)
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1994
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29
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O. Christov, On the non-integrability of a system describing the motion of
a rigid body with a fixed point and a particle oscillating in it, Bulletin des Sciences Mathematiques, vol:118, issue:4, 1994, pages:385-401, ISSN (print):0007-4497, Ref, Web of Science, SCOPUS Quartile: Q4 (90/117 Mathematics Appl. 1997 JCR-WoS)
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1994
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30
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O. Christov, On the non-integrability of a system describing the motion of
a rigid body with a fixed point and a particle oscillating in it, C. R. Acad. Bul. Sci., vol:46, issue:9, 1993, pages:33-36, ISSN (print):1310-1331, Ref, SCOPUS Quartile: Q4 (46/50 Multidisciplinary 2007 JSR-WoS)
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1993
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31
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O. Christov, On the stability of Lyapunov's periodic solutions of a
mechanical system with two degrees of freedom, Journal of Theoretical and Applied Mechanics, issue:2, 1993, pages:27-32, Ref, MathSciNet(MR96b:70010)
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1993
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32
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O. Christov, Stability of certain solutions in a mechanical model
generating the rigid body problem, Journal of Theoretical and Applied Mechanics, issue:4, 1993, pages:9-21, Ref, MathSciNet(MR94e 70007)
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1993
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33
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O. Christov, On a perturbations of a mechanical system from rigid body
dynamics, Ann. de L' Univ. de Sofia, L. 2 - Mech., vol:86, 1992, pages:5-15, ISSN (print):0205-0808, Ref, MathSciNet(MR 96a: 70017)
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1992
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34
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O. Christov, Perturbations of a mechanical system with two degrees of
freeedom, Journal of Theoretical and Applied Mechanics, issue:3, 1992, pages:36-49, Ref, MathSciNet(MR 93m:58041)
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1992
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35
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O. Christov, Bifurcations of invariant manifolds in a model in rigid body
dynamics, Ann. de L' Univ. de Sofia, L. 2 - Mech., vol:85, 1991, pages:123-129, ISSN (print):0205-0808, Ref, MathSciNet(MR 95g:70003)
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1991
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36
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O. Christov, On planar oscillations of gyrostat on elliptic orbit, Journal of Theoretical and Applied Mechanics, issue:2, 1991, pages:22-28
|
1991
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37
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O. Christov, L. Lilov, Stability of the equilibrium positions of
a Satellite - Gyrostate system with a dempfer, Journal of Theoretical and Applied Mechanics, issue:1, 1990, pages:19-29, ISSN (print):12427, Ref, MathSciNet(MR 91c: 70048)
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1990
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| Статия в сборник (на конференция и др.) |
|
1
|
G. Georgiev, O. Christov,
Non-integrability of a system describing the stationary solutions in Bose-Fermi mixtures
, AIP Conf. Proc. 1570, 305 (2013); , 2013, pages:305-312, ISSN (print):0094243X, ISBN:ISBN: 978-07354-1198-2, doi:dx.doi.org/10.1063/1.4854770 , Ref, IR , SCOPUS, SJR (0.164 - 2013)
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2013
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2
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O. Christov, On the number of spikes of solutions for a singularly
perturbed boundary value problem, NAA'2008, LNCS 5434, editor/s:S. Margenov et all (Eds.), Publisher:Springer, 2009, pages:233-240, ISBN:978-3-642-00463-6, doi:10.1007/978-3-642-00464-3, Ref, SCOPUS, SJR (0.302 - 2009)
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2009
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3
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Огнян Христов, Неинтегруемост на Хамилтонови системи и диференциална теория на Галоа, Доклади на Пролетна конференция на българските математици, 2002, стр.:58-65
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2002
|
| Участие в конференция |
|
1
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Секционен доклад, Огнян Христов, Non-integrability of a system from the rigid body dynamics
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2023
|
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2
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Секционен доклад, Огнян Христов, On the integrability of twofold 1 : 2 Hamiltonian resonance
|
2023
|
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3
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Секционен доклад, Огнян Христов, Near-integrability of periodic Klein-Gordon lattices
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2018
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4
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Секционен доклад, Огнян Христов, Results on normal forms for Klein-Gordon lattices
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2018
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5
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Секционен доклад, Огнян Христов, Non-integrability of a fourth-order Painleve equation in Liouville sense
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2014
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6
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Секционен доклад, Огнян Христов, On the integrability of a system describing the stationary
solutions in Bose-Fermi mixtures
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2014
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7
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Секционен доклад, Огнян Христов, Non-integrability of first order resonances in Hamiltonian systems in three degrees of freedom
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2013
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8
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Секционен доклад, Огнян Христов, On the nonlocal symmetries of the $\mu$ Camassa-Holm equation
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2012
|
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9
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Секционен доклад, Огнян Христов, Canonically conjugate variables for the $\mu$CH equation
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2011
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10
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Секционен доклад, Огнян Христов, Inverse scattering transform for the Dullin-Gottwald-Holm equation
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2008
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11
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Секционен доклад, Огнян Христов, Неинтегруемост на Хамилтонови системи и Диференциална теория на Галоа
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2002
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