Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits (Q2845312)

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scientific article; zbMATH DE number 6200727
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English
Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits
scientific article; zbMATH DE number 6200727

    Statements

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    22 August 2013
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    hidden oscillation
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    hidden attractor
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    large (normal amplitude) and small limit cycle
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    Liénard equation
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    quadratic system
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    Lyapunov focus values (Lyapunov quantities, Poincaré-Lyapunov constants, Lyapunov coefficients)
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    16th Hilbert problem
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    Aizerman conjecture
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    Kalman conjecture
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    absolute stability
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    nonlinear control system
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    harmonic balance
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    describing function method
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    phase-locked loop (PLL)
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    drilling system
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    induction motor
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    Chua circuits
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    Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits (English)
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