Deterministic chaos in linear systems

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SUMMARY

The discussion centers on the concept of deterministic chaos in linear systems. It is established that linear systems do not exhibit chaotic behavior, as their output is directly proportional to their input, meaning that doubling the input results in a doubled output without sensitivity to initial conditions. The consensus is that chaotic behavior is a characteristic of non-linear systems, not linear ones.

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  • Understanding of linear systems and their properties
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  • Basic mathematical principles related to system behavior
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Benhur
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I was reading a paper about deterministic chaos, where the author had commented that non-linear systems can be affected by this. My question is whether some linear systems can also have chaotic behavior. It is possible?

Thank you
 
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Benhur said:
My question is whether some linear systems can also have chaotic behavior. It is possible?
I don’t think so. If you double the input of a linear system you just double the output. You don’t suddenly get extreme sensitivity to parameters.
 
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