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Fig 1.

Synchronization error curve and waveform.

For (a) synchronization error, for (b) synchronized waveform of x1y1.

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Fig 1 Expand

Fig 2.

Chaotic secure communication optimization circuit schematic.

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Fig 2 Expand

Fig 3.

Chaotic phase diagram with Multisim.

(a) xy phase diagram, (b) xz phase diagram, (c) zy phase diagram.

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Fig 3 Expand

Fig 4.

Waveforms of input sine wave with amplitude of 1 V and frequency of 1 kHz.

(a) transmitting and receiving waveform, (b) synchronous phase diagram, (c) superimposed signal waveform, (d) carrier signal waveform.

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Fig 4 Expand

Fig 5.

Waveforms of input sine wave with different amplitude.

(a) 10 mV, (b) 100 mV, (c) 5 V, (d) 10 V, (e) 13 V, (f) synchronous phase diagram of 13 V, (g) 15 V, (h) phase diagram of 15 V.

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Fig 5 Expand

Fig 6.

Waveforms of input sine wave with different frequency.

(a) 10 Hz, (b) 10 kHz, (c) 100 kHz, (d) phase diagram of 100 kHz, (e) 500 kHz, (f) phase diagram of 500 kHz.

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Fig 6 Expand

Fig 7.

Analog multiplier of receiving circuit with 0.1% error.

(a) transmitting and receiving waveform, (b) phase diagram.

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Fig 7 Expand

Fig 8.

Analog multiplier of receiving circuit with 1% error.

(a) transmitting and receiving waveform, (b) phase diagram.

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Fig 8 Expand

Fig 9.

Capacitor of receiving circuit with 1% error.

(a) transmitting and receiving waveform, (b) phase diagram.

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Fig 9 Expand

Fig 10.

Operational amplifier of receiving circuit with 1% error.

(a) transmitting and receiving waveform, (b) phase diagram.

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Fig 10 Expand

Fig 11.

Experimental improvement circuit schematic.

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Fig 11 Expand

Fig 12.

Simulation results.

(a) attractors for transmitter, (b) attractors for receiver, (c) x waveform, (d) y waveform, (e) z waveform, (f-h) non-synchronization phase diagram, (i) modulation-demodulation phase diagram, (j) modulation signal and demodulation signal, (k) the power spectrum of the transmitted signal and the recovered signal.

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Fig 12 Expand

Fig 13.

Chaotic secure communication circuit signal photos.

(a) xy phase diagram, (b) xz phase diagram, (c) zy phase diagram, (d-f) non-synchronization phase diagrams, (g-i) synchronization phase diagrams, (j) signal and channel waveform, (k) signal and channel waveform, (l) modulation-demodulation signal amplification, (m) transmitting and receiving waveform.

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Fig 13 Expand

Fig 14.

The transmitter input modulation signal and the receiver demodulation output signal.

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Fig 14 Expand

Fig 15.

Experimental circuit board photo.

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Fig 15 Expand