unlikely to provide a localization of a hidden attractor, since a basin of attraction may be very small, and the attractor dimension itself may be much less...
16 KB (1,699 words) - 02:40, 24 October 2024
strange attractor (see strange attractor below). If the variable is a scalar, the attractor is a subset of the real number line. Describing the attractors of...
34 KB (3,905 words) - 15:31, 8 October 2024
Chua's circuit (category Hidden oscillation)
Sciences. Chaos computing Multiscroll attractor Leon Chua Matsumoto, Takashi (December 1984). "A Chaotic Attractor from Chua's Circuit" (PDF). IEEE Transactions...
13 KB (1,359 words) - 13:32, 18 June 2024
Lorenz system (redirect from Lorenz attractor)
tend to an invariant set – the Lorenz attractor – a strange attractor, a fractal, and a self-excited attractor with respect to all three equilibria. Its...
37 KB (4,378 words) - 17:15, 17 September 2024
of dynamical systems, the double-scroll attractor (sometimes known as Chua's attractor) is a strange attractor observed from a physical electronic chaotic...
10 KB (1,523 words) - 20:31, 12 June 2024
Sommerfeld effect (category Hidden oscillation)
(which correspond to the typical start up of the motor), and the other attractor corresponds to the desired mode of operation with a higher frequency of...
4 KB (461 words) - 01:54, 4 November 2024
Eden's conjecture (category Hidden oscillation)
dimensions on the global attractor is achieved on a stationary point or an unstable periodic orbit embedded into the attractor. The validity of the conjecture...
5 KB (530 words) - 02:40, 24 October 2024
Nikolay V. Kuznetsov (category Hidden oscillation)
results are the discovery of a hidden Chua attractor in Chua circuits, revealing of coexisting hidden attractors in electomechanical models with Sommerfeld...
20 KB (1,778 words) - 10:46, 2 October 2024
the same parameter values and initial conditions. Also, recently, a hidden attractor was discovered in the Rabinovich–Fabrikant system. The Rabinovich–Fabrikant...
7 KB (661 words) - 14:58, 5 June 2024
Hilbert's sixteenth problem (category Hidden oscillation)
"Hidden attractors in dynamical systems. From hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in...
9 KB (1,238 words) - 13:33, 26 September 2024