Zobrazeno 1 - 10 of 23 pro vyhledávání: '"S V Gonchenko"'
3
Lorenz-like attractors in a nonholonomic model of a rattleback
Autor: A S Gonchenko, S V Gonchenko
Publikováno v: Nonlinearity. 28:3403-3417
We study chaotic dynamics in a nonholonomic model of a rattleback stone. We show that, for certain values of parameters that characterise geometrical and physical properties of the stone, a strange Lorenz-like attractor is observed in the model. We a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3477096d83dbf918fcc62ffe596225c8
https://doi.org/10.1088/0951-7715/28/9/3403
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4
On bifurcations of multidimensional diffeomorphisms having a homoclinic tangency to a saddle-node
Autor: I.I. Ovsyannikov, V.I. Lukjanov, S. V. Gonchenko, O.V. Gordeeva
Publikováno v: Regular and Chaotic Dynamics. 19:461-473
We study main bifurcations of multidimensional diffeomorphisms having a non-transversal homoclinic orbit to a saddle-node fixed point. On a parameter plane we build a bifurcation diagram for single-round periodic orbits lying entirely in a small neig
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e9bacd93b466de9e6bc077783b7cc7c
https://doi.org/10.1134/s1560354714040029
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5
On the effect of invisibility of stable periodic orbits at homoclinic bifurcations
Autor: I.I. Ovsyannikov, Dmitry Turaev, S. V. Gonchenko
Publikováno v: Physica D: Nonlinear Phenomena. 241:1115-1122
a b s t r a c t We study bifurcations of a homoclinic tangency to a saddle-focus periodic point. We show that the stability domain for single-round periodic orbits which bifurcate near the homoclinic tangency has a characteristic''comb-like''structur
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4836643bc5849f67bf4e466b292634d7
https://doi.org/10.1016/j.physd.2012.03.002
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9
On Two-Dimensional Area-Preserving Maps with Homoclinic Tangencies that Have Infinitely Many Generic Elliptic Periodic Points
Autor: S. V. Gonchenko, L. P. Shilnikov
Publikováno v: Journal of Mathematical Sciences. 128:2767-2773
We study the semilocal dynamics of two-dimensional symplectic diffeomorphisms with homoclinic tangencies. Conditions for the existence of infinitely many generic elliptic periodic orbits of successive periods starting with some integer are found. Bib
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e0425b07cf2c3e7f4203dbfa03a502e0
https://doi.org/10.1007/s10958-005-0228-6
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