Undergrad Deterministic chaos in linear systems

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Deterministic chaos is typically associated with non-linear systems, as they exhibit sensitivity to initial conditions and parameter changes. Linear systems, by definition, maintain proportionality, meaning that doubling the input results in a predictable doubling of the output. This predictability implies that linear systems do not demonstrate chaotic behavior, as they lack the extreme sensitivity characteristic of chaos. Therefore, it is generally accepted that linear systems cannot exhibit chaotic behavior. The discussion concludes that chaos is inherently a property of non-linear dynamics.
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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