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Implementation of a chaotic circuit in LTspice

Akshaj

Jul 29, 2021
3
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I'm trying to simulate a chaotic circuit involving a single equilibrium point, but when I try simulating the circuit I'm getting an error with one of the multiplier blocks (AD633) regarding the time step being too small. I need my simulation to run for around 100-200 sec for getting the desired results.

The circuit I want to simulate is in the figure 1.PNG and the corresponding LTspice model in 2.PNG and on simulating I'm getting an error as shown in 3.PNG

So, instead of using the AD633 analog multiplier I used a behavioural voltage source for the product of the 2 signals and the LTspice model of the same is shown in 4.PNG. But by doing so this resulted in a very bad output, instead of getting chaotic phenomenon, the outputs x,y,z saturated to the Op-Amps Vsat.

Is there anything wrong in my model and is there anyway I can get it right?
 

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    1.PNG
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  • 2.PNG
    2.PNG
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  • 3.PNG
    3.PNG
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  • 4.PNG
    4.PNG
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Akshaj

Jul 29, 2021
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These are the 2 asc files I'm trying to simulate
 

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  • Draft3.asc
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  • Draft4.asc
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Alec_t

Jul 7, 2015
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I couldn't get your ascs to give a prolonged chaotic output.
Try the attached :
 

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  • Chaos.asc
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Alec_t

Jul 7, 2015
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It's only related in the sense that it produces a chaotic result. It implements the equation xn+1 = A xn(1-xn).
 
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