Zobrazeno 1 - 10
of 26
pro vyhledávání: '"A. S. Gonchenko"'
Publikováno v:
Journal of Difference Equations and Applications. :1-18
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e651a511cd45df34744dc2aea0f7b94b
https://doi.org/10.1080/10236198.2022.2063051
https://doi.org/10.1080/10236198.2022.2063051
Autor:
A. S. Gonchenko, S. V. Gonchenko
Publikováno v:
Lobachevskii Journal of Mathematics. 42:3352-3364
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7440ea894134c5c2a12a08de5540f48
https://doi.org/10.1134/s1995080222020068
https://doi.org/10.1134/s1995080222020068
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 308:125-140
We survey recent results on the theory of dynamical chaos from the point of view of topological dynamics. We present the concept of three types of dynamics: conservative, dissi-pative, and mixed dynamics, and also show several simple examples of attr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8705f8d6163bd33f09c1974f8c926a76
https://doi.org/10.1134/s0081543820010101
https://doi.org/10.1134/s0081543820010101
Autor:
E. A. Samylina, A. S. Gonchenko
Publikováno v:
Radiophysics and Quantum Electronics. 62:369-384
In this work, we consider the problem of existence of discrete Lorenz attractors in the nonholonomic model of a Celtic stone. To this end, the main local and global bifurcations leading to the appearance and destruction of the attractors are studied
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c045aed3da681c9b108e23922a0bb7fa
https://doi.org/10.1007/s11141-019-09984-9
https://doi.org/10.1007/s11141-019-09984-9
Publikováno v:
Radiophysics and Quantum Electronics. 61:773-786
We study dynamic properties of a Celtic stone moving along a plane. We consider two-parameter families of the corresponding nonholonomic models in which bifurcations leading to changing the types of stable motions of the stone, as well as the chaotic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5c18a0fd0f3ef6cd2eff5af3f7cce28
https://doi.org/10.1007/s11141-019-09935-4
https://doi.org/10.1007/s11141-019-09935-4
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 31:113130
This paper gives a review of doubling bifurcations of closed invariant curves. We also discuss the role of the curve-doubling bifurcations in the formation of chaotic dynamics. In particular, we study scenarios of the emergence of discrete Lorenz and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6abcda18ed5d8f2d8f9e950c76a256e
https://doi.org/10.1063/5.0068692
https://doi.org/10.1063/5.0068692
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
https://doi.org/10.1088/0951-7715/28/9/3403
Publikováno v:
Nonlinear Systems and Complexity ISBN: 9783319580616
Smale horseshoes of new types, the so called half-orientable horseshoes, have been found in Gonchenko et al. (Int. J. Bifurc. Chaos, 18(10):3029–3052, 2008, [1]). Such horseshoes can exist as invariant sets for endomorphisms of the disk and for dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a09b18519a855455e0208d45b96ad404
https://doi.org/10.1007/978-3-319-58062-3_6
https://doi.org/10.1007/978-3-319-58062-3_6
A one-parameter family of time-reversible systems on three-dimensional torus is considered. It is shown that the dynamics is not conservative, namely the attractor and repeller intersect but not coincide. We explain this as the manifestation of the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d82e458ff2883acc12e415bd6046403
http://arxiv.org/abs/1604.02417
http://arxiv.org/abs/1604.02417
Publikováno v:
Regular and Chaotic Dynamics. 15:462-481
We review bifurcations of homoclinic tangencies leading to Henon-like maps of various kinds.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ede744e7f3adfe043cdc8beffec4903d
https://doi.org/10.1134/s1560354710040052
https://doi.org/10.1134/s1560354710040052