Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Localization of hidden Chuas attractors. / Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.
в: Physics Letters, Section A: General, Atomic and Solid State Physics, Том 375, № 23, 06.06.2011, стр. 2230-2233.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Localization of hidden Chuas attractors
AU - Leonov, G. A.
AU - Kuznetsov, N. V.
AU - Vagaitsev, V. I.
N1 - Funding Information: This work was supported by the Academy of Finland , the Ministry of Education and Science (Russia) , and Saint-Petersburg State University .
PY - 2011/6/6
Y1 - 2011/6/6
N2 - The classical attractors of Lorenz, Rossler, Chua, Chen, and other widely-known attractors are those excited from unstable equilibria. From computational point of view this allows one to use numerical method, in which after transient process a trajectory, started from a point of unstable manifold in the neighborhood of equilibrium, reaches an attractor and identifies it. However there are attractors of another type: hidden attractors, a basin of attraction of which does not contain neighborhoods of equilibria. In the present Letter for localization of hidden attractors of Chuas circuit it is suggested to use a special analytical-numerical algorithm.
AB - The classical attractors of Lorenz, Rossler, Chua, Chen, and other widely-known attractors are those excited from unstable equilibria. From computational point of view this allows one to use numerical method, in which after transient process a trajectory, started from a point of unstable manifold in the neighborhood of equilibrium, reaches an attractor and identifies it. However there are attractors of another type: hidden attractors, a basin of attraction of which does not contain neighborhoods of equilibria. In the present Letter for localization of hidden attractors of Chuas circuit it is suggested to use a special analytical-numerical algorithm.
KW - Attractor localization
KW - Chuas circuit
KW - Experimental study
KW - Hidden attractor
UR - http://www.scopus.com/inward/record.url?scp=79956081226&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2011.04.037
DO - 10.1016/j.physleta.2011.04.037
M3 - Article
AN - SCOPUS:79956081226
VL - 375
SP - 2230
EP - 2233
JO - Physics Letters A
JF - Physics Letters A
SN - 0375-9601
IS - 23
ER -
ID: 95271305