Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Hidden oscillations in dynamical systems. / Leonov, G. A.; Kuznetsov, N. V.; Seledzhi, S. M.
Recent Researches in System Science - Proceedings of the 15th WSEAS International Conference on Systems, Part of the 15th WSEAS CSCC Multiconference. 2011. стр. 292-297 (Recent Researches in System Science - Proceedings of the 15th WSEAS International Conference on Systems, Part of the 15th WSEAS CSCC Multiconference).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Hidden oscillations in dynamical systems
AU - Leonov, G. A.
AU - Kuznetsov, N. V.
AU - Seledzhi, S. M.
PY - 2011
Y1 - 2011
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. Study of hidden oscillations and attractors requires the development of new analytical and numerical methods which will be considered in this invited lecture.
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. Study of hidden oscillations and attractors requires the development of new analytical and numerical methods which will be considered in this invited lecture.
KW - Aizerman conjecture
KW - Attractor localization
KW - Describing function method
KW - Harmonic balance
KW - Hidden attractor
KW - Hidden oscillation
KW - Hilbert 16th problem
KW - Kalaman conjecture
UR - http://www.scopus.com/inward/record.url?scp=82955186228&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:82955186228
SN - 9781618040237
T3 - Recent Researches in System Science - Proceedings of the 15th WSEAS International Conference on Systems, Part of the 15th WSEAS CSCC Multiconference
SP - 292
EP - 297
BT - Recent Researches in System Science - Proceedings of the 15th WSEAS International Conference on Systems, Part of the 15th WSEAS CSCC Multiconference
T2 - 15th WSEAS International Conference on Systems, Part of the 15th WSEAS CSCC Multiconference
Y2 - 14 July 2011 through 16 July 2011
ER -
ID: 95271202