Jun Li, Xin-Yan Hou. Dynamic reconstruction of chaotic system based on exponential weighted online sequential extreme learning machine with kernel [J]. Acta Physica Sinica, 2019, 68(10): 100503-1
- Acta Physica Sinica
- Vol. 68, Issue 10, 100503-1 (2019)
Fig. 1. Convergence curve of MSE for FB-EW-KOSELM algorithm.算法的均方误差收敛曲线
Fig. 2. Duffing attractor for F = 11 plotted using: (a)The original noise-free data; (b) the model predicted output.
Duffing吸引子(F = 11) (a)原模型; (b)辨识模型
Fig. 3. The Poincare map(F = 11) for (a) the original system, (b) the identification model.
庞加莱映射(F = 11) (a)原模型; (b)辨识模型
Fig. 4. Bifurcation diagram 4.5 ≤ F ≤ 12: (a) Original system; (b) identification model.
Duffing-Ueda振子的分岔图 (a)原模型; (b)辨识模型
Fig. 5. Limit cycle for F = 8.5: (a) Original system; (b) identification model.
F = 8.5时Duffing-Ueda振子的极限环 (a)原模型; (b)辨识模型
Fig. 6. (a)Chua’s circuit ; (b) Chua’s diode (nonlinear resistor implementation).(a)蔡氏电路; (b)蔡氏二极管(非线性电阻的配置)
Fig. 7. Volt-ampere characteristic curve of Chua’s diode.蔡氏二极管的伏安特性曲线
Fig. 8. Measured data on the attractor of Chua’s circuit: (a) Projection of the double scroll attractor, measures of
; (b) measures of
; (c) projection of the spiral attractor, measures of
.
基于实测数据的蔡氏电路吸引子
Fig. 9. Chua's attractor reconstructed from the model predicted output: (a) iL on the double scroll attractor; (b)v 1 on the double scroll attractor; (c) v 1 on the spiral attractor
基于模型预测输出的蔡氏电路重构吸引子 (a)双涡卷吸引子iL ; (b) 双涡卷吸引子v 1; (c)螺旋吸引子v 1
Fig. 10. Block diagram of the chaotic circuit.混沌电路的构成
Fig. 11. Reconstructed attractor: (a) The original noise-free data; (b) the model predicted output.重构吸引子 (a)原模型; (b)辨识模型
Fig. 12. (a) Identify model outputs and measured time series values; (b) the error between the model output and the measured value.(a)辨识模型输出与实测时间序列值输出结果; (b)辨识误差
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