HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS

DOI10.1142/S0218127413300024zbMath1270.34003OpenAlexW1998630995WikidataQ30050164 ScholiaQ30050164MaRDI QIDQ2845312

Gennady Alekseevich Leonov, Nikolay V. Kuznetsov

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127413300024

zbMATH Keywords

absolute stability quadratic system nonlinear control system Liénard equation induction motor hidden attractor harmonic balance 16th Hilbert problem describing function method Kalman conjecture Aizerman conjecture Chua circuits hidden oscillation drilling system large (normal amplitude) and small limit cycle Lyapunov focus values (Lyapunov quantities, Poincaré-Lyapunov constants, Lyapunov coefficients)phase-locked loop (PLL)

Mathematics Subject Classification ID

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