Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Localization of hidden attractors in smooth Chua's systems. / Kuznetsov, N. V.; Vagaitsev, V. I.; Leonov, G. A.; Seledzhi, S. M.
Recent Researches in Applied and Computational Mathematics - International Conference on Applied and Computational Mathematics, ICACM'11. 26-33. ed. WORLD SCIENTIFIC PUBL CO PTE LTD, 2011. p. 26-33 (International Conference on Applied and Computational Mathematics).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Localization of hidden attractors in smooth Chua's systems
AU - Kuznetsov, N. V.
AU - Vagaitsev, V. I.
AU - Leonov, G. A.
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. Recently such hidden attractors were discovered Chua's circuits by special analytical-numerical algorithm. In the present paper localization of hidden attractors in smooth Chua's systems is considered.
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. Recently such hidden attractors were discovered Chua's circuits by special analytical-numerical algorithm. In the present paper localization of hidden attractors in smooth Chua's systems is considered.
KW - Attractor localization
KW - Describing function method
KW - Harmonic balance
KW - Hidden attractor
KW - Smooth Chua's circuit
UR - http://www.scopus.com/inward/record.url?scp=82755198491&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9781618040022
T3 - International Conference on Applied and Computational Mathematics
SP - 26
EP - 33
BT - Recent Researches in Applied and Computational Mathematics - International Conference on Applied and Computational Mathematics, ICACM'11
PB - WORLD SCIENTIFIC PUBL CO PTE LTD
T2 - International Conference on Applied and Computational Mathematics, ICACM'11
Y2 - 27 May 2011 through 29 May 2011
ER -
ID: 4704079