Hidden attractor
In the bifurcation theory, a bounded oscillation that is born without loss of stability of stationary set is called a hidden oscillation. In nonlinear control theory, the birth of a hidden oscillation in a time-invariant control system with bounded states means crossing a boundary, in the domain of the parameters, where local stability of the stationary states implies global stability (see, e.g. Kalman's conjecture). If a hidden oscillation (or a set of such hidden oscillations filling a compact subset of the phase space of the dynamical system) attracts all nearby oscillations, then it is called a hidden attractor. For a dynamical system with a unique equilibrium point that is globally attractive, the birth of a hidden attractor corresponds to a qualitative change in behaviour from monost
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Aizerman's conjectureAttractorChua's circuitDescribing functionEden's conjectureHidden attractorHidden oscillationHilbert's sixteenth problemKalman's conjectureLorenz systemMultiscroll attractorNikolay V. KuznetsovNonlinear controlOscillationPhase-locked loop rangeRabinovich–Fabrikant equationsSelf-oscillationSommerfeld effectWilliam F. Egan
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Hidden attractor
In the bifurcation theory, a bounded oscillation that is born without loss of stability of stationary set is called a hidden oscillation. In nonlinear control theory, the birth of a hidden oscillation in a time-invariant control system with bounded states means crossing a boundary, in the domain of the parameters, where local stability of the stationary states implies global stability (see, e.g. Kalman's conjecture). If a hidden oscillation (or a set of such hidden oscillations filling a compact subset of the phase space of the dynamical system) attracts all nearby oscillations, then it is called a hidden attractor. For a dynamical system with a unique equilibrium point that is globally attractive, the birth of a hidden attractor corresponds to a qualitative change in behaviour from monost
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In the bifurcation theory, a b ...... rt of Hilbert's 16th problem).
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In the bifurcation theory, a b ...... hange in behaviour from monost
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Hidden attractor
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